TSTP Solution File: GEG005^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG005^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:08:19 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEG005^1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 19:50:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683
% 0.15/0.37 % (1925)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.37 % (1925)Instruction limit reached!
% 0.21/0.37 % (1925)------------------------------
% 0.21/0.37 % (1925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (1925)Termination reason: Unknown
% 0.21/0.37 % (1925)Termination phase: shuffling
% 0.21/0.37
% 0.21/0.37 % (1925)Memory used [KB]: 1023
% 0.21/0.37 % (1925)Time elapsed: 0.002 s
% 0.21/0.37 % (1925)Instructions burned: 2 (million)
% 0.21/0.37 % (1925)------------------------------
% 0.21/0.37 % (1925)------------------------------
% 0.21/0.37 % (1922)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.21/0.37 % (1924)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.21/0.37 % (1923)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.37 % (1926)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.37 % (1927)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.21/0.37 % (1928)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.37 % (1929)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.37 % (1926)Instruction limit reached!
% 0.21/0.37 % (1926)------------------------------
% 0.21/0.37 % (1926)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (1926)Termination reason: Unknown
% 0.21/0.37 % (1926)Termination phase: shuffling
% 0.21/0.37
% 0.21/0.37 % (1926)Memory used [KB]: 1023
% 0.21/0.37 % (1926)Time elapsed: 0.004 s
% 0.21/0.37 % (1926)Instructions burned: 3 (million)
% 0.21/0.37 % (1926)------------------------------
% 0.21/0.37 % (1926)------------------------------
% 0.21/0.37 % (1929)Instruction limit reached!
% 0.21/0.37 % (1929)------------------------------
% 0.21/0.37 % (1929)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (1929)Termination reason: Unknown
% 0.21/0.37 % (1929)Termination phase: shuffling
% 0.21/0.37
% 0.21/0.37 % (1929)Memory used [KB]: 1023
% 0.21/0.37 % (1929)Time elapsed: 0.004 s
% 0.21/0.37 % (1929)Instructions burned: 3 (million)
% 0.21/0.37 % (1929)------------------------------
% 0.21/0.37 % (1929)------------------------------
% 0.21/0.38 % (1923)Instruction limit reached!
% 0.21/0.38 % (1923)------------------------------
% 0.21/0.38 % (1923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (1923)Termination reason: Unknown
% 0.21/0.38 % (1923)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (1923)Memory used [KB]: 1151
% 0.21/0.38 % (1923)Time elapsed: 0.004 s
% 0.21/0.38 % (1923)Instructions burned: 5 (million)
% 0.21/0.38 % (1923)------------------------------
% 0.21/0.38 % (1923)------------------------------
% 0.21/0.38 % (1930)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.21/0.38 % (1927)Refutation not found, incomplete strategy
% 0.21/0.38 % (1927)------------------------------
% 0.21/0.38 % (1927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (1927)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (1927)Memory used [KB]: 5628
% 0.21/0.38 % (1927)Time elapsed: 0.011 s
% 0.21/0.38 % (1927)Instructions burned: 16 (million)
% 0.21/0.38 % (1927)------------------------------
% 0.21/0.38 % (1927)------------------------------
% 0.21/0.38 % (1928)Instruction limit reached!
% 0.21/0.38 % (1928)------------------------------
% 0.21/0.38 % (1928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (1928)Termination reason: Unknown
% 0.21/0.38 % (1928)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (1928)Memory used [KB]: 5756
% 0.21/0.38 % (1928)Time elapsed: 0.012 s
% 0.21/0.38 % (1928)Instructions burned: 19 (million)
% 0.21/0.38 % (1928)------------------------------
% 0.21/0.38 % (1928)------------------------------
% 0.21/0.39 % (1930)Instruction limit reached!
% 0.21/0.39 % (1930)------------------------------
% 0.21/0.39 % (1930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (1930)Termination reason: Unknown
% 0.21/0.39 % (1930)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (1930)Memory used [KB]: 5756
% 0.21/0.39 % (1930)Time elapsed: 0.012 s
% 0.21/0.39 % (1930)Instructions burned: 38 (million)
% 0.21/0.39 % (1930)------------------------------
% 0.21/0.39 % (1930)------------------------------
% 0.21/0.39 % (1924)Instruction limit reached!
% 0.21/0.39 % (1924)------------------------------
% 0.21/0.39 % (1924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (1924)Termination reason: Unknown
% 0.21/0.39 % (1924)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (1924)Memory used [KB]: 5756
% 0.21/0.39 % (1924)Time elapsed: 0.017 s
% 0.21/0.39 % (1924)Instructions burned: 28 (million)
% 0.21/0.39 % (1924)------------------------------
% 0.21/0.39 % (1924)------------------------------
% 0.21/0.39 % (1931)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.21/0.39 % (1933)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.21/0.39 % (1932)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.39 % (1932)Instruction limit reached!
% 0.21/0.39 % (1932)------------------------------
% 0.21/0.39 % (1932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (1932)Termination reason: Unknown
% 0.21/0.39 % (1932)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (1932)Memory used [KB]: 1023
% 0.21/0.39 % (1932)Time elapsed: 0.003 s
% 0.21/0.39 % (1932)Instructions burned: 3 (million)
% 0.21/0.39 % (1932)------------------------------
% 0.21/0.39 % (1932)------------------------------
% 0.21/0.40 % (1931)Instruction limit reached!
% 0.21/0.40 % (1931)------------------------------
% 0.21/0.40 % (1931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (1931)Termination reason: Unknown
% 0.21/0.40 % (1931)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (1931)Memory used [KB]: 1151
% 0.21/0.40 % (1931)Time elapsed: 0.010 s
% 0.21/0.40 % (1931)Instructions burned: 16 (million)
% 0.21/0.40 % (1931)------------------------------
% 0.21/0.40 % (1931)------------------------------
% 0.21/0.40 % (1936)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.21/0.40 % (1935)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.40 % (1939)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.40 % (1940)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.40 % (1939)Instruction limit reached!
% 0.21/0.40 % (1939)------------------------------
% 0.21/0.40 % (1939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (1939)Termination reason: Unknown
% 0.21/0.40 % (1939)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (1939)Memory used [KB]: 1151
% 0.21/0.40 % (1939)Time elapsed: 0.003 s
% 0.21/0.40 % (1939)Instructions burned: 4 (million)
% 0.21/0.40 % (1939)------------------------------
% 0.21/0.40 % (1939)------------------------------
% 0.21/0.40 % (1935)Instruction limit reached!
% 0.21/0.40 % (1935)------------------------------
% 0.21/0.40 % (1935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (1935)Termination reason: Unknown
% 0.21/0.40 % (1935)Termination phase: SInE selection
% 0.21/0.40
% 0.21/0.40 % (1935)Memory used [KB]: 1151
% 0.21/0.40 % (1935)Time elapsed: 0.006 s
% 0.21/0.40 % (1935)Instructions burned: 7 (million)
% 0.21/0.40 % (1935)------------------------------
% 0.21/0.40 % (1935)------------------------------
% 0.21/0.40 % (1940)Instruction limit reached!
% 0.21/0.40 % (1940)------------------------------
% 0.21/0.40 % (1940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (1940)Termination reason: Unknown
% 0.21/0.40 % (1940)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (1940)Memory used [KB]: 1023
% 0.21/0.40 % (1940)Time elapsed: 0.004 s
% 0.21/0.40 % (1940)Instructions burned: 4 (million)
% 0.21/0.40 % (1940)------------------------------
% 0.21/0.40 % (1940)------------------------------
% 0.21/0.41 % (1936)Instruction limit reached!
% 0.21/0.41 % (1936)------------------------------
% 0.21/0.41 % (1936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (1936)Termination reason: Unknown
% 0.21/0.41 % (1936)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (1936)Memory used [KB]: 5628
% 0.21/0.41 % (1936)Time elapsed: 0.010 s
% 0.21/0.41 % (1936)Instructions burned: 16 (million)
% 0.21/0.41 % (1936)------------------------------
% 0.21/0.41 % (1936)------------------------------
% 0.21/0.41 % (1941)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.41 % (1941)Instruction limit reached!
% 0.21/0.41 % (1941)------------------------------
% 0.21/0.41 % (1941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (1941)Termination reason: Unknown
% 0.21/0.41 % (1941)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (1941)Memory used [KB]: 1151
% 0.21/0.41 % (1941)Time elapsed: 0.006 s
% 0.21/0.41 % (1941)Instructions burned: 8 (million)
% 0.21/0.41 % (1941)------------------------------
% 0.21/0.41 % (1941)------------------------------
% 0.21/0.41 % (1942)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.41 % (1942)Instruction limit reached!
% 0.21/0.41 % (1942)------------------------------
% 0.21/0.41 % (1942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (1942)Termination reason: Unknown
% 0.21/0.41 % (1942)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (1942)Memory used [KB]: 1151
% 0.21/0.41 % (1942)Time elapsed: 0.004 s
% 0.21/0.41 % (1942)Instructions burned: 4 (million)
% 0.21/0.41 % (1942)------------------------------
% 0.21/0.41 % (1942)------------------------------
% 0.21/0.42 % (1943)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.42 % (1943)Instruction limit reached!
% 0.21/0.42 % (1943)------------------------------
% 0.21/0.42 % (1943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (1943)Termination reason: Unknown
% 0.21/0.42 % (1944)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.42 % (1943)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (1943)Memory used [KB]: 1151
% 0.21/0.42 % (1943)Time elapsed: 0.004 s
% 0.21/0.42 % (1943)Instructions burned: 4 (million)
% 0.21/0.42 % (1943)------------------------------
% 0.21/0.42 % (1943)------------------------------
% 0.21/0.42 % (1945)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.42 % (1946)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.42 % (1946)Instruction limit reached!
% 0.21/0.42 % (1946)------------------------------
% 0.21/0.42 % (1946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (1946)Termination reason: Unknown
% 0.21/0.42 % (1946)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (1946)Memory used [KB]: 1151
% 0.21/0.42 % (1946)Time elapsed: 0.005 s
% 0.21/0.42 % (1946)Instructions burned: 6 (million)
% 0.21/0.42 % (1946)------------------------------
% 0.21/0.42 % (1946)------------------------------
% 0.21/0.43 % (1947)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.21/0.43 % (1948)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.21/0.43 % (1944)Instruction limit reached!
% 0.21/0.43 % (1944)------------------------------
% 0.21/0.43 % (1944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (1944)Termination reason: Unknown
% 0.21/0.43 % (1944)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (1944)Memory used [KB]: 5756
% 0.21/0.43 % (1944)Time elapsed: 0.013 s
% 0.21/0.43 % (1944)Instructions burned: 19 (million)
% 0.21/0.43 % (1944)------------------------------
% 0.21/0.43 % (1944)------------------------------
% 0.21/0.43 % (1949)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.21/0.43 % (1947)Refutation not found, incomplete strategy
% 0.21/0.43 % (1947)------------------------------
% 0.21/0.43 % (1947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (1945)Refutation not found, incomplete strategy
% 0.21/0.43 % (1945)------------------------------
% 0.21/0.43 % (1945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (1947)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (1947)Memory used [KB]: 5628
% 0.21/0.43 % (1947)Time elapsed: 0.009 s
% 0.21/0.43 % (1947)Instructions burned: 11 (million)
% 0.21/0.43 % (1947)------------------------------
% 0.21/0.43 % (1947)------------------------------
% 0.21/0.43 % (1945)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (1945)Memory used [KB]: 5756
% 0.21/0.43 % (1945)Time elapsed: 0.016 s
% 0.21/0.43 % (1945)Instructions burned: 22 (million)
% 0.21/0.43 % (1945)------------------------------
% 0.21/0.43 % (1945)------------------------------
% 0.21/0.43 % (1949)Instruction limit reached!
% 0.21/0.43 % (1949)------------------------------
% 0.21/0.43 % (1949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (1949)Termination reason: Unknown
% 0.21/0.43 % (1949)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (1949)Memory used [KB]: 1151
% 0.21/0.43 % (1949)Time elapsed: 0.004 s
% 0.21/0.43 % (1949)Instructions burned: 6 (million)
% 0.21/0.43 % (1949)------------------------------
% 0.21/0.43 % (1949)------------------------------
% 0.21/0.44 % (1950)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.44 % (1948)Instruction limit reached!
% 0.21/0.44 % (1948)------------------------------
% 0.21/0.44 % (1948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (1948)Termination reason: Unknown
% 0.21/0.44 % (1948)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (1948)Memory used [KB]: 5756
% 0.21/0.44 % (1948)Time elapsed: 0.013 s
% 0.21/0.44 % (1948)Instructions burned: 21 (million)
% 0.21/0.44 % (1948)------------------------------
% 0.21/0.44 % (1948)------------------------------
% 0.21/0.44 % (1950)Instruction limit reached!
% 0.21/0.44 % (1950)------------------------------
% 0.21/0.44 % (1950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (1950)Termination reason: Unknown
% 0.21/0.44 % (1950)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (1950)Memory used [KB]: 1151
% 0.21/0.44 % (1950)Time elapsed: 0.005 s
% 0.21/0.44 % (1950)Instructions burned: 6 (million)
% 0.21/0.44 % (1950)------------------------------
% 0.21/0.44 % (1950)------------------------------
% 0.21/0.44 % (1951)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.21/0.45 % (1952)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.21/0.45 % (1953)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2999ds/19Mi)
% 0.21/0.45 % (1954)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.21/0.45 % (1955)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.21/0.46 % (1956)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.46 % (1956)Instruction limit reached!
% 0.21/0.46 % (1956)------------------------------
% 0.21/0.46 % (1956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (1956)Termination reason: Unknown
% 0.21/0.46 % (1956)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (1956)Memory used [KB]: 1023
% 0.21/0.46 % (1956)Time elapsed: 0.004 s
% 0.21/0.46 % (1956)Instructions burned: 4 (million)
% 0.21/0.46 % (1956)------------------------------
% 0.21/0.46 % (1956)------------------------------
% 0.21/0.46 % (1953)Instruction limit reached!
% 0.21/0.46 % (1953)------------------------------
% 0.21/0.46 % (1953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (1953)Termination reason: Unknown
% 0.21/0.46 % (1953)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (1953)Memory used [KB]: 5756
% 0.21/0.46 % (1953)Time elapsed: 0.012 s
% 0.21/0.46 % (1953)Instructions burned: 19 (million)
% 0.21/0.46 % (1953)------------------------------
% 0.21/0.46 % (1953)------------------------------
% 0.21/0.46 % (1955)Instruction limit reached!
% 0.21/0.46 % (1955)------------------------------
% 0.21/0.46 % (1955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (1955)Termination reason: Unknown
% 0.21/0.46 % (1955)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (1955)Memory used [KB]: 5628
% 0.21/0.46 % (1955)Time elapsed: 0.010 s
% 0.21/0.46 % (1955)Instructions burned: 17 (million)
% 0.21/0.46 % (1955)------------------------------
% 0.21/0.46 % (1955)------------------------------
% 0.21/0.47 % (1957)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.21/0.48 % (1959)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.21/0.48 % (1958)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.21/0.48 % (1922)Instruction limit reached!
% 0.21/0.48 % (1922)------------------------------
% 0.21/0.48 % (1922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (1922)Termination reason: Unknown
% 0.21/0.48 % (1922)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (1922)Memory used [KB]: 7164
% 0.21/0.48 % (1922)Time elapsed: 0.109 s
% 0.21/0.48 % (1922)Instructions burned: 183 (million)
% 0.21/0.48 % (1922)------------------------------
% 0.21/0.48 % (1922)------------------------------
% 0.21/0.48 % (1957)Instruction limit reached!
% 0.21/0.48 % (1957)------------------------------
% 0.21/0.48 % (1957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (1957)Termination reason: Unknown
% 0.21/0.48 % (1957)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (1957)Memory used [KB]: 5756
% 0.21/0.48 % (1957)Time elapsed: 0.015 s
% 0.21/0.48 % (1957)Instructions burned: 31 (million)
% 0.21/0.48 % (1957)------------------------------
% 0.21/0.48 % (1957)------------------------------
% 0.21/0.49 % (1951)First to succeed.
% 0.21/0.49 % (1960)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.21/0.49 % (1960)Instruction limit reached!
% 0.21/0.49 % (1960)------------------------------
% 0.21/0.49 % (1960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (1960)Termination reason: Unknown
% 0.21/0.49 % (1960)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (1960)Memory used [KB]: 1023
% 0.21/0.49 % (1960)Time elapsed: 0.002 s
% 0.21/0.49 % (1960)Instructions burned: 3 (million)
% 0.21/0.49 % (1960)------------------------------
% 0.21/0.49 % (1960)------------------------------
% 0.21/0.49 % (1961)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 0.21/0.49 % (1951)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for Vampire---4
% 0.21/0.49 % SZS output start Proof for Vampire---4
% 0.21/0.49 thf(type_def_5, type, mu: $tType).
% 0.21/0.49 thf(type_def_7, type, reg: $tType).
% 0.21/0.49 thf(func_def_0, type, mu: $tType).
% 0.21/0.49 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.21/0.49 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_15, type, mtrue: $i > $o).
% 0.21/0.49 thf(func_def_16, type, mfalse: $i > $o).
% 0.21/0.49 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.49 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.21/0.49 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_33, type, reg: $tType).
% 0.21/0.49 thf(func_def_34, type, c: reg > reg > $o).
% 0.21/0.49 thf(func_def_35, type, dc: reg > reg > $o).
% 0.21/0.49 thf(func_def_36, type, p: reg > reg > $o).
% 0.21/0.49 thf(func_def_37, type, eq: reg > reg > $o).
% 0.21/0.49 thf(func_def_38, type, o: reg > reg > $o).
% 0.21/0.49 thf(func_def_39, type, po: reg > reg > $o).
% 0.21/0.49 thf(func_def_40, type, ec: reg > reg > $o).
% 0.21/0.49 thf(func_def_41, type, pp: reg > reg > $o).
% 0.21/0.49 thf(func_def_42, type, tpp: reg > reg > $o).
% 0.21/0.49 thf(func_def_43, type, ntpp: reg > reg > $o).
% 0.21/0.49 thf(func_def_44, type, catalunya: reg).
% 0.21/0.49 thf(func_def_45, type, france: reg).
% 0.21/0.49 thf(func_def_46, type, spain: reg).
% 0.21/0.49 thf(func_def_47, type, paris: reg).
% 0.21/0.49 thf(func_def_48, type, a: $i > $i > $o).
% 0.21/0.49 thf(func_def_49, type, fool: $i > $i > $o).
% 0.21/0.49 thf(func_def_66, type, sK1: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_67, type, sK2: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_68, type, sK3: reg > reg).
% 0.21/0.49 thf(func_def_69, type, sK4: reg > reg).
% 0.21/0.49 thf(func_def_70, type, sK5: reg > reg).
% 0.21/0.49 thf(func_def_73, type, sK8: reg).
% 0.21/0.49 thf(func_def_74, type, sK9: reg).
% 0.21/0.49 thf(func_def_75, type, sK10: reg).
% 0.21/0.49 thf(func_def_76, type, sK11: reg).
% 0.21/0.49 thf(func_def_77, type, sK12: reg > reg).
% 0.21/0.49 thf(func_def_78, type, sK13: reg > reg).
% 0.21/0.49 thf(func_def_79, type, sK14: reg > reg).
% 0.21/0.49 thf(func_def_80, type, sK15: reg).
% 0.21/0.49 thf(func_def_81, type, sK16: reg > reg).
% 0.21/0.49 thf(func_def_82, type, sK17: reg > reg).
% 0.21/0.49 thf(func_def_83, type, sK18: reg > reg).
% 0.21/0.49 thf(func_def_84, type, sK19: reg > reg).
% 0.21/0.49 thf(func_def_85, type, sK20: reg > reg).
% 0.21/0.49 thf(func_def_86, type, sK21: reg).
% 0.21/0.49 thf(func_def_87, type, sK22: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_88, type, ph23: !>[X0: $tType]:(X0)).
% 0.21/0.49 thf(f1358,plain,(
% 0.21/0.49 $false),
% 0.21/0.49 inference(avatar_sat_refutation,[],[f474,f546,f558,f562,f566,f570,f584,f1101,f1106,f1357])).
% 0.21/0.49 thf(f1357,plain,(
% 0.21/0.49 spl0_28 | ~spl0_4 | ~spl0_24 | ~spl0_25 | spl0_28),
% 0.21/0.49 inference(avatar_split_clause,[],[f1353,f841,f560,f556,f472,f841])).
% 0.21/0.49 thf(f472,plain,(
% 0.21/0.49 spl0_4 <=> ! [X3 : reg] : (((c @ X3 @ catalunya) = $false) | ($true = (c @ X3 @ spain)))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.21/0.49 thf(f556,plain,(
% 0.21/0.49 spl0_24 <=> ! [X3 : reg] : (((c @ (sK5 @ X3) @ spain) = $false) | ((c @ (sK3 @ X3) @ france) = $false))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 0.21/0.49 thf(f560,plain,(
% 0.21/0.49 spl0_25 <=> ! [X3 : reg] : (((c @ (sK5 @ X3) @ X3) = $true) | ((c @ (sK3 @ X3) @ france) = $false))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 0.21/0.49 thf(f841,plain,(
% 0.21/0.49 spl0_28 <=> ((c @ (sK3 @ sK9) @ france) = $false)),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])).
% 0.21/0.49 thf(f1353,plain,(
% 0.21/0.49 ((c @ (sK3 @ sK9) @ france) = $false) | (~spl0_4 | ~spl0_24 | ~spl0_25 | spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1349])).
% 0.21/0.49 thf(f1349,plain,(
% 0.21/0.49 ($true = $false) | ((c @ (sK3 @ sK9) @ france) = $false) | (~spl0_4 | ~spl0_24 | ~spl0_25 | spl0_28)),
% 0.21/0.49 inference(superposition,[],[f561,f1319])).
% 0.21/0.49 thf(f1319,plain,(
% 0.21/0.49 ((c @ (sK5 @ sK9) @ sK9) = $false) | (~spl0_4 | ~spl0_24 | spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1315])).
% 0.21/0.49 thf(f1315,plain,(
% 0.21/0.49 ((c @ (sK5 @ sK9) @ sK9) = $false) | ($true = $false) | (~spl0_4 | ~spl0_24 | spl0_28)),
% 0.21/0.49 inference(superposition,[],[f315,f1278])).
% 0.21/0.49 thf(f1278,plain,(
% 0.21/0.49 ((c @ (sK5 @ sK9) @ catalunya) = $false) | (~spl0_4 | ~spl0_24 | spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1275])).
% 0.21/0.49 thf(f1275,plain,(
% 0.21/0.49 ((c @ (sK5 @ sK9) @ catalunya) = $false) | ($true != $true) | (~spl0_4 | ~spl0_24 | spl0_28)),
% 0.21/0.49 inference(superposition,[],[f1255,f473])).
% 0.21/0.49 thf(f473,plain,(
% 0.21/0.49 ( ! [X3 : reg] : (($true = (c @ X3 @ spain)) | ((c @ X3 @ catalunya) = $false)) ) | ~spl0_4),
% 0.21/0.49 inference(avatar_component_clause,[],[f472])).
% 0.21/0.49 thf(f1255,plain,(
% 0.21/0.49 ((c @ (sK5 @ sK9) @ spain) != $true) | (~spl0_24 | spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1254])).
% 0.21/0.49 thf(f1254,plain,(
% 0.21/0.49 ($true != $true) | ((c @ (sK5 @ sK9) @ spain) != $true) | (~spl0_24 | spl0_28)),
% 0.21/0.49 inference(superposition,[],[f1224,f184])).
% 0.21/0.49 thf(f184,plain,(
% 0.21/0.49 ( ! [X0 : reg,X1 : reg] : (((c @ X1 @ X0) = $true) | ((c @ X0 @ X1) != $true)) )),
% 0.21/0.49 inference(cnf_transformation,[],[f147])).
% 0.21/0.49 thf(f147,plain,(
% 0.21/0.49 ! [X0 : reg,X1 : reg] : (((c @ X1 @ X0) = $true) | ((c @ X0 @ X1) != $true))),
% 0.21/0.49 inference(ennf_transformation,[],[f90])).
% 0.21/0.49 thf(f90,plain,(
% 0.21/0.49 ! [X0 : reg,X1 : reg] : (((c @ X0 @ X1) = $true) => ((c @ X1 @ X0) = $true))),
% 0.21/0.49 inference(fool_elimination,[],[f89])).
% 0.21/0.49 thf(f89,plain,(
% 0.21/0.49 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 0.21/0.49 inference(rectify,[],[f33])).
% 0.21/0.49 thf(f33,axiom,(
% 0.21/0.49 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',c_symmetric)).
% 0.21/0.49 thf(f1224,plain,(
% 0.21/0.49 ((c @ spain @ (sK5 @ sK9)) != $true) | (~spl0_24 | spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1217])).
% 0.21/0.49 thf(f1217,plain,(
% 0.21/0.49 ($false != $false) | ((c @ spain @ (sK5 @ sK9)) != $true) | (~spl0_24 | spl0_28)),
% 0.21/0.49 inference(superposition,[],[f842,f827])).
% 0.21/0.49 thf(f827,plain,(
% 0.21/0.49 ( ! [X0 : reg] : (((c @ (sK3 @ X0) @ france) = $false) | ((c @ spain @ (sK5 @ X0)) != $true)) ) | ~spl0_24),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f823])).
% 0.21/0.49 thf(f823,plain,(
% 0.21/0.49 ( ! [X0 : reg] : (((c @ spain @ (sK5 @ X0)) != $true) | ((c @ (sK3 @ X0) @ france) = $false) | ($true = $false)) ) | ~spl0_24),
% 0.21/0.49 inference(superposition,[],[f184,f557])).
% 0.21/0.49 thf(f557,plain,(
% 0.21/0.49 ( ! [X3 : reg] : (((c @ (sK5 @ X3) @ spain) = $false) | ((c @ (sK3 @ X3) @ france) = $false)) ) | ~spl0_24),
% 0.21/0.49 inference(avatar_component_clause,[],[f556])).
% 0.21/0.49 thf(f842,plain,(
% 0.21/0.49 ((c @ (sK3 @ sK9) @ france) != $false) | spl0_28),
% 0.21/0.49 inference(avatar_component_clause,[],[f841])).
% 0.21/0.49 thf(f315,plain,(
% 0.21/0.49 ( ! [X1 : reg] : (($true = (c @ X1 @ catalunya)) | ($false = (c @ X1 @ sK9))) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f314])).
% 0.21/0.49 thf(f314,plain,(
% 0.21/0.49 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK9) => (c @ X1 @ catalunya)))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f313])).
% 0.21/0.49 thf(f313,plain,(
% 0.21/0.49 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ catalunya))) @ X1))) )),
% 0.21/0.49 inference(pi_clausification,[],[f312])).
% 0.21/0.49 thf(f312,plain,(
% 0.21/0.49 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ catalunya)))) = $true)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f310])).
% 0.21/0.49 thf(f310,plain,(
% 0.21/0.49 ($true = ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ catalunya)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ paris))))))),
% 0.21/0.49 inference(beta_eta_normalization,[],[f309])).
% 0.21/0.49 thf(f309,plain,(
% 0.21/0.49 ($true = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK9))),
% 0.21/0.49 inference(sigma_clausification,[],[f302])).
% 0.21/0.49 thf(f302,plain,(
% 0.21/0.49 ($true = (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f301])).
% 0.21/0.49 thf(f301,plain,(
% 0.21/0.49 ($true = ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ catalunya))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f299])).
% 0.21/0.49 thf(f299,plain,(
% 0.21/0.49 ((((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ catalunya))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ paris)))))) = $true)),
% 0.21/0.49 inference(not_proxy_clausification,[],[f298])).
% 0.21/0.49 thf(f298,plain,(
% 0.21/0.49 ((~ (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ catalunya))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ paris))))))) = $false)),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f296])).
% 0.21/0.49 thf(f296,plain,(
% 0.21/0.49 (((~ (((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ catalunya))))) & (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ paris))))))) | (~ (a @ sK6 @ sK7))) = $false)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f295])).
% 0.21/0.49 thf(f295,plain,(
% 0.21/0.49 (((^[Y0 : $i]: ((~ (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ catalunya))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ paris))))))) | (~ (a @ sK6 @ Y0)))) @ sK7) = $false)),
% 0.21/0.49 inference(sigma_clausification,[],[f294])).
% 0.21/0.49 thf(f294,plain,(
% 0.21/0.49 ((!! @ $i @ (^[Y0 : $i]: ((~ (((~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ catalunya))))) & (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ paris))))))) | (~ (a @ sK6 @ Y0))))) = $false)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f293])).
% 0.21/0.49 thf(f293,plain,(
% 0.21/0.49 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ catalunya))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ paris))))))) | (~ (a @ Y0 @ Y1)))))) @ sK6))),
% 0.21/0.49 inference(sigma_clausification,[],[f292])).
% 0.21/0.49 thf(f292,plain,(
% 0.21/0.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (((~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ catalunya))))) & (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ paris))))))) | (~ (a @ Y0 @ Y1))))))) != $true)),
% 0.21/0.49 inference(beta_eta_normalization,[],[f217])).
% 0.21/0.49 thf(f217,plain,(
% 0.21/0.49 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: (~ ((^[Y1 : reg]: ((^[Y2 : reg]: (((~ ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1)) & ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4))))))) @ Y1 @ Y2)) & (~ ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y1 @ Y2)))))) @ catalunya @ paris))))))),
% 0.21/0.49 inference(definition_unfolding,[],[f174,f194,f151,f208])).
% 0.21/0.49 thf(f208,plain,(
% 0.21/0.49 (po = (^[Y0 : reg]: ((^[Y1 : reg]: (((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)) & ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1)))))))),
% 0.21/0.49 inference(definition_unfolding,[],[f150,f192,f207,f192])).
% 0.21/0.49 thf(f207,plain,(
% 0.21/0.49 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1))))))))),
% 0.21/0.49 inference(definition_unfolding,[],[f159,f192,f192])).
% 0.21/0.49 thf(f159,plain,(
% 0.21/0.49 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f55])).
% 0.21/0.49 thf(f55,plain,(
% 0.21/0.49 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f54])).
% 0.21/0.49 thf(f54,plain,(
% 0.21/0.49 ((^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))) = o)),
% 0.21/0.49 inference(rectify,[],[f37])).
% 0.21/0.49 thf(f37,axiom,(
% 0.21/0.49 ((^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))) = o)),
% 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',o)).
% 0.21/0.49 thf(f192,plain,(
% 0.21/0.49 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f59])).
% 0.21/0.49 thf(f59,plain,(
% 0.21/0.49 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f58])).
% 0.21/0.49 thf(f58,plain,(
% 0.21/0.49 ((^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))) = p)),
% 0.21/0.49 inference(rectify,[],[f35])).
% 0.21/0.49 thf(f35,axiom,(
% 0.21/0.49 ((^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))) = p)),
% 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',p)).
% 0.21/0.49 thf(f150,plain,(
% 0.21/0.49 (po = (^[Y0 : reg]: ((^[Y1 : reg]: (((~ (p @ Y1 @ Y0)) & (o @ Y0 @ Y1)) & (~ (p @ Y0 @ Y1)))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f92])).
% 0.21/0.49 thf(f92,plain,(
% 0.21/0.49 (po = (^[Y0 : reg]: ((^[Y1 : reg]: (((~ (p @ Y1 @ Y0)) & (o @ Y0 @ Y1)) & (~ (p @ Y0 @ Y1)))))))),
% 0.21/0.49 inference(fool_elimination,[],[f91])).
% 0.21/0.49 thf(f91,plain,(
% 0.21/0.49 ((^[X0 : reg, X1 : reg] : (~(p @ X0 @ X1) & (o @ X0 @ X1) & ~(p @ X1 @ X0))) = po)),
% 0.21/0.49 inference(rectify,[],[f38])).
% 0.21/0.49 thf(f38,axiom,(
% 0.21/0.49 ((^[X0 : reg, X1 : reg] : (~(p @ X0 @ X1) & (o @ X0 @ X1) & ~(p @ X1 @ X0))) = po)),
% 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',po)).
% 0.21/0.49 thf(f151,plain,(
% 0.21/0.49 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.21/0.49 inference(cnf_transformation,[],[f123])).
% 0.21/0.49 thf(f123,plain,(
% 0.21/0.49 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f122])).
% 0.21/0.49 thf(f122,plain,(
% 0.21/0.49 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 0.21/0.49 inference(rectify,[],[f16])).
% 0.21/0.49 thf(f16,axiom,(
% 0.21/0.49 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',mbox)).
% 0.21/0.49 thf(f194,plain,(
% 0.21/0.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.49 inference(cnf_transformation,[],[f107])).
% 0.21/0.49 thf(f107,plain,(
% 0.21/0.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.49 inference(fool_elimination,[],[f106])).
% 0.21/0.49 thf(f106,plain,(
% 0.21/0.49 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.21/0.49 inference(rectify,[],[f28])).
% 0.21/0.49 thf(f28,axiom,(
% 0.21/0.49 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',mvalid)).
% 0.21/0.49 thf(f174,plain,(
% 0.21/0.49 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (~ (po @ catalunya @ paris))))) != $true)),
% 0.21/0.49 inference(cnf_transformation,[],[f146])).
% 0.21/0.49 thf(f146,plain,(
% 0.21/0.49 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (~ (po @ catalunya @ paris))))) != $true)),
% 0.21/0.49 inference(flattening,[],[f53])).
% 0.21/0.49 thf(f53,plain,(
% 0.21/0.49 ~((mvalid @ (mbox @ a @ (^[Y0 : $i]: (~ (po @ catalunya @ paris))))) = $true)),
% 0.21/0.49 inference(fool_elimination,[],[f52])).
% 0.21/0.49 thf(f52,plain,(
% 0.21/0.49 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (~(po @ catalunya @ paris)))))),
% 0.21/0.49 inference(rectify,[],[f50])).
% 0.21/0.49 thf(f50,negated_conjecture,(
% 0.21/0.49 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (~(po @ catalunya @ paris)))))),
% 0.21/0.49 inference(negated_conjecture,[],[f49])).
% 0.21/0.49 thf(f49,conjecture,(
% 0.21/0.49 (mvalid @ (mbox @ a @ (^[X0 : $i] : (~(po @ catalunya @ paris)))))),
% 0.21/0.49 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',con)).
% 0.21/0.49 thf(f561,plain,(
% 0.21/0.49 ( ! [X3 : reg] : (((c @ (sK5 @ X3) @ X3) = $true) | ((c @ (sK3 @ X3) @ france) = $false)) ) | ~spl0_25),
% 0.21/0.49 inference(avatar_component_clause,[],[f560])).
% 0.21/0.49 thf(f1106,plain,(
% 0.21/0.49 ~spl0_1),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f1105])).
% 0.21/0.49 thf(f1105,plain,(
% 0.21/0.49 $false | ~spl0_1),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1104])).
% 0.21/0.49 thf(f1104,plain,(
% 0.21/0.49 ($true = $false) | ~spl0_1),
% 0.21/0.49 inference(backward_demodulation,[],[f324,f460])).
% 0.21/0.49 thf(f460,plain,(
% 0.21/0.49 ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false)) ) | ~spl0_1),
% 0.21/0.49 inference(avatar_component_clause,[],[f459])).
% 0.21/0.49 thf(f459,plain,(
% 0.21/0.49 spl0_1 <=> ! [X2,X1] : ((a @ X1 @ X2) = $false)),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.21/0.49 thf(f324,plain,(
% 0.21/0.49 ($true = (a @ sK6 @ sK7))),
% 0.21/0.49 inference(not_proxy_clausification,[],[f297])).
% 0.21/0.49 thf(f297,plain,(
% 0.21/0.49 ($false = (~ (a @ sK6 @ sK7)))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f296])).
% 0.21/0.49 thf(f1101,plain,(
% 0.21/0.49 ~spl0_4 | ~spl0_21 | ~spl0_26 | ~spl0_27 | ~spl0_28),
% 0.21/0.49 inference(avatar_contradiction_clause,[],[f1100])).
% 0.21/0.49 thf(f1100,plain,(
% 0.21/0.49 $false | (~spl0_4 | ~spl0_21 | ~spl0_26 | ~spl0_27 | ~spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1099])).
% 0.21/0.49 thf(f1099,plain,(
% 0.21/0.49 ($true = $false) | (~spl0_4 | ~spl0_21 | ~spl0_26 | ~spl0_27 | ~spl0_28)),
% 0.21/0.49 inference(forward_demodulation,[],[f1082,f1032])).
% 0.21/0.49 thf(f1032,plain,(
% 0.21/0.49 ((c @ (sK4 @ sK9) @ sK9) = $false) | (~spl0_4 | ~spl0_21 | ~spl0_26 | ~spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1028])).
% 0.21/0.49 thf(f1028,plain,(
% 0.21/0.49 ($true = $false) | ((c @ (sK4 @ sK9) @ sK9) = $false) | (~spl0_4 | ~spl0_21 | ~spl0_26 | ~spl0_28)),
% 0.21/0.49 inference(superposition,[],[f315,f1017])).
% 0.21/0.49 thf(f1017,plain,(
% 0.21/0.49 ((c @ (sK4 @ sK9) @ catalunya) = $false) | (~spl0_4 | ~spl0_21 | ~spl0_26 | ~spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1010])).
% 0.21/0.49 thf(f1010,plain,(
% 0.21/0.49 ($true = $false) | ((c @ (sK4 @ sK9) @ catalunya) = $false) | (~spl0_4 | ~spl0_21 | ~spl0_26 | ~spl0_28)),
% 0.21/0.49 inference(superposition,[],[f1008,f473])).
% 0.21/0.49 thf(f1008,plain,(
% 0.21/0.49 ((c @ (sK4 @ sK9) @ spain) = $false) | (~spl0_21 | ~spl0_26 | ~spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1007])).
% 0.21/0.49 thf(f1007,plain,(
% 0.21/0.49 ($true = $false) | ((c @ (sK4 @ sK9) @ spain) = $false) | (~spl0_21 | ~spl0_26 | ~spl0_28)),
% 0.21/0.49 inference(forward_demodulation,[],[f1006,f868])).
% 0.21/0.49 thf(f868,plain,(
% 0.21/0.49 ((c @ (sK3 @ sK9) @ paris) = $false) | (~spl0_21 | ~spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f863])).
% 0.21/0.49 thf(f863,plain,(
% 0.21/0.49 ((c @ (sK3 @ sK9) @ paris) = $false) | ($true = $false) | (~spl0_21 | ~spl0_28)),
% 0.21/0.49 inference(superposition,[],[f545,f843])).
% 0.21/0.49 thf(f843,plain,(
% 0.21/0.49 ((c @ (sK3 @ sK9) @ france) = $false) | ~spl0_28),
% 0.21/0.49 inference(avatar_component_clause,[],[f841])).
% 0.21/0.49 thf(f545,plain,(
% 0.21/0.49 ( ! [X3 : reg] : (($true = (c @ X3 @ france)) | ((c @ X3 @ paris) = $false)) ) | ~spl0_21),
% 0.21/0.49 inference(avatar_component_clause,[],[f544])).
% 0.21/0.49 thf(f544,plain,(
% 0.21/0.49 spl0_21 <=> ! [X3 : reg] : (((c @ X3 @ paris) = $false) | ($true = (c @ X3 @ france)))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
% 0.21/0.49 thf(f1006,plain,(
% 0.21/0.49 ((c @ (sK4 @ sK9) @ spain) = $false) | ((c @ (sK3 @ sK9) @ paris) = $true) | ~spl0_26),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1000])).
% 0.21/0.49 thf(f1000,plain,(
% 0.21/0.49 ($true = $false) | ((c @ (sK3 @ sK9) @ paris) = $true) | ((c @ (sK4 @ sK9) @ spain) = $false) | ~spl0_26),
% 0.21/0.49 inference(superposition,[],[f565,f318])).
% 0.21/0.49 thf(f318,plain,(
% 0.21/0.49 ( ! [X1 : reg] : (($false = (c @ X1 @ sK9)) | ((c @ X1 @ paris) = $true)) )),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f317])).
% 0.21/0.49 thf(f317,plain,(
% 0.21/0.49 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK9) => (c @ X1 @ paris)))) )),
% 0.21/0.49 inference(beta_eta_normalization,[],[f316])).
% 0.21/0.49 thf(f316,plain,(
% 0.21/0.49 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ paris))) @ X1))) )),
% 0.21/0.49 inference(pi_clausification,[],[f311])).
% 0.21/0.49 thf(f311,plain,(
% 0.21/0.49 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK9) => (c @ Y0 @ paris)))))),
% 0.21/0.49 inference(binary_proxy_clausification,[],[f310])).
% 0.21/0.49 thf(f565,plain,(
% 0.21/0.49 ( ! [X3 : reg] : (($true = (c @ (sK3 @ X3) @ X3)) | ((c @ (sK4 @ X3) @ spain) = $false)) ) | ~spl0_26),
% 0.21/0.49 inference(avatar_component_clause,[],[f564])).
% 0.21/0.49 thf(f564,plain,(
% 0.21/0.49 spl0_26 <=> ! [X3 : reg] : (($true = (c @ (sK3 @ X3) @ X3)) | ((c @ (sK4 @ X3) @ spain) = $false))),
% 0.21/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
% 0.21/0.49 thf(f1082,plain,(
% 0.21/0.49 ((c @ (sK4 @ sK9) @ sK9) = $true) | (~spl0_21 | ~spl0_27 | ~spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f1078])).
% 0.21/0.49 thf(f1078,plain,(
% 0.21/0.49 ($true = $false) | ((c @ (sK4 @ sK9) @ sK9) = $true) | (~spl0_21 | ~spl0_27 | ~spl0_28)),
% 0.21/0.49 inference(superposition,[],[f569,f970])).
% 0.21/0.49 thf(f970,plain,(
% 0.21/0.49 ((c @ (sK3 @ sK9) @ sK9) = $false) | (~spl0_21 | ~spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f967])).
% 0.21/0.49 thf(f967,plain,(
% 0.21/0.49 ($true != $true) | ((c @ (sK3 @ sK9) @ sK9) = $false) | (~spl0_21 | ~spl0_28)),
% 0.21/0.49 inference(fool_paramodulation,[],[f932])).
% 0.21/0.49 thf(f932,plain,(
% 0.21/0.49 ((c @ (sK3 @ sK9) @ sK9) != $true) | (~spl0_21 | ~spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f930])).
% 0.21/0.49 thf(f930,plain,(
% 0.21/0.49 ($true != $true) | ((c @ (sK3 @ sK9) @ sK9) != $true) | (~spl0_21 | ~spl0_28)),
% 0.21/0.49 inference(superposition,[],[f898,f184])).
% 0.21/0.49 thf(f898,plain,(
% 0.21/0.49 ((c @ sK9 @ (sK3 @ sK9)) != $true) | (~spl0_21 | ~spl0_28)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f893])).
% 0.21/0.49 thf(f893,plain,(
% 0.21/0.49 ($true = $false) | ((c @ sK9 @ (sK3 @ sK9)) != $true) | (~spl0_21 | ~spl0_28)),
% 0.21/0.50 inference(superposition,[],[f868,f737])).
% 0.21/0.50 thf(f737,plain,(
% 0.21/0.50 ( ! [X0 : reg] : (($true = (c @ X0 @ paris)) | ((c @ sK9 @ X0) != $true)) )),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f730])).
% 0.21/0.50 thf(f730,plain,(
% 0.21/0.50 ( ! [X0 : reg] : (($true = $false) | ($true = (c @ X0 @ paris)) | ((c @ sK9 @ X0) != $true)) )),
% 0.21/0.50 inference(superposition,[],[f318,f184])).
% 0.21/0.50 thf(f569,plain,(
% 0.21/0.50 ( ! [X3 : reg] : (($true = (c @ (sK3 @ X3) @ X3)) | ((c @ (sK4 @ X3) @ X3) = $true)) ) | ~spl0_27),
% 0.21/0.50 inference(avatar_component_clause,[],[f568])).
% 0.21/0.50 thf(f568,plain,(
% 0.21/0.50 spl0_27 <=> ! [X3 : reg] : (((c @ (sK4 @ X3) @ X3) = $true) | ($true = (c @ (sK3 @ X3) @ X3)))),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_27])])).
% 0.21/0.50 thf(f584,plain,(
% 0.21/0.50 ~spl0_22),
% 0.21/0.50 inference(avatar_contradiction_clause,[],[f583])).
% 0.21/0.50 thf(f583,plain,(
% 0.21/0.50 $false | ~spl0_22),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f582])).
% 0.21/0.50 thf(f582,plain,(
% 0.21/0.50 ($true = $false) | ~spl0_22),
% 0.21/0.50 inference(beta_eta_normalization,[],[f580])).
% 0.21/0.50 thf(f580,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ($false)) @ X1))) ) | ~spl0_22),
% 0.21/0.50 inference(primitive_instantiation,[],[f575])).
% 0.21/0.50 thf(f575,plain,(
% 0.21/0.50 ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ X1) = $true)) ) | ~spl0_22),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f571])).
% 0.21/0.50 thf(f571,plain,(
% 0.21/0.50 ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ X1) = $true) | ($true = $false)) ) | ~spl0_22),
% 0.21/0.50 inference(backward_demodulation,[],[f457,f549])).
% 0.21/0.50 thf(f549,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false)) ) | ~spl0_22),
% 0.21/0.50 inference(avatar_component_clause,[],[f548])).
% 0.21/0.50 thf(f548,plain,(
% 0.21/0.50 spl0_22 <=> ! [X2,X1] : ((fool @ X1 @ X2) = $false)),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_22])])).
% 0.21/0.50 thf(f457,plain,(
% 0.21/0.50 ( ! [X2 : $i > $o,X1 : $i] : (($true = (fool @ X1 @ (sK22 @ X1 @ X2))) | ((X2 @ X1) = $true)) )),
% 0.21/0.50 inference(not_proxy_clausification,[],[f455])).
% 0.21/0.50 thf(f455,plain,(
% 0.21/0.50 ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ X1) = $true) | ((~ (fool @ X1 @ (sK22 @ X1 @ X2))) = $false)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f454])).
% 0.21/0.50 thf(f454,plain,(
% 0.21/0.50 ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ X1) = $true) | (((X2 @ (sK22 @ X1 @ X2)) | (~ (fool @ X1 @ (sK22 @ X1 @ X2)))) = $false)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f453])).
% 0.21/0.50 thf(f453,plain,(
% 0.21/0.50 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((X2 @ Y0) | (~ (fool @ X1 @ Y0)))) @ (sK22 @ X1 @ X2)) = $false) | ((X2 @ X1) = $true)) )),
% 0.21/0.50 inference(sigma_clausification,[],[f452])).
% 0.21/0.50 thf(f452,plain,(
% 0.21/0.50 ( ! [X2 : $i > $o,X1 : $i] : (((X2 @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (fool @ X1 @ Y0))))) = $false)) )),
% 0.21/0.50 inference(not_proxy_clausification,[],[f451])).
% 0.21/0.50 thf(f451,plain,(
% 0.21/0.50 ( ! [X2 : $i > $o,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (fool @ X1 @ Y0)))))) = $true) | ((X2 @ X1) = $true)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f450])).
% 0.21/0.50 thf(f450,plain,(
% 0.21/0.50 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (fool @ X1 @ Y0)))))) | (X2 @ X1)))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f449])).
% 0.21/0.50 thf(f449,plain,(
% 0.21/0.50 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (fool @ X1 @ Y1)))))) | (Y0 @ X1))) @ X2))) )),
% 0.21/0.50 inference(pi_clausification,[],[f448])).
% 0.21/0.50 thf(f448,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((~ (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) | (~ (fool @ X1 @ Y1)))))) | (Y0 @ X1)))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f447])).
% 0.21/0.50 thf(f447,plain,(
% 0.21/0.50 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (fool @ Y0 @ Y2)))))) | (Y1 @ Y0))))) @ X1) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f446])).
% 0.21/0.50 thf(f446,plain,(
% 0.21/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((~ (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) | (~ (fool @ Y0 @ Y2)))))) | (Y1 @ Y0)))))))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f213])).
% 0.21/0.50 thf(f213,plain,(
% 0.21/0.50 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y3 @ Y5) | (Y4 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (Y1 @ Y3 @ Y4)))))))))) @ fool @ Y0) @ Y0)))))),
% 0.21/0.50 inference(definition_unfolding,[],[f158,f194,f187,f198,f151])).
% 0.21/0.50 thf(f198,plain,(
% 0.21/0.50 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.21/0.50 inference(definition_unfolding,[],[f181,f170,f167])).
% 0.21/0.50 thf(f167,plain,(
% 0.21/0.50 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f82])).
% 0.21/0.50 thf(f82,plain,(
% 0.21/0.50 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.50 inference(fool_elimination,[],[f81])).
% 0.21/0.50 thf(f81,plain,(
% 0.21/0.50 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.21/0.50 inference(rectify,[],[f3])).
% 0.21/0.50 thf(f3,axiom,(
% 0.21/0.50 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',mnot)).
% 0.21/0.50 thf(f170,plain,(
% 0.21/0.50 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f76])).
% 0.21/0.50 thf(f76,plain,(
% 0.21/0.50 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f75])).
% 0.21/0.50 thf(f75,plain,(
% 0.21/0.50 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.21/0.50 inference(rectify,[],[f4])).
% 0.21/0.50 thf(f4,axiom,(
% 0.21/0.50 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',mor)).
% 0.21/0.50 thf(f181,plain,(
% 0.21/0.50 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.50 inference(cnf_transformation,[],[f71])).
% 0.21/0.50 thf(f71,plain,(
% 0.21/0.50 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.50 inference(fool_elimination,[],[f70])).
% 0.21/0.50 thf(f70,plain,(
% 0.21/0.50 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.21/0.50 inference(rectify,[],[f6])).
% 0.21/0.50 thf(f6,axiom,(
% 0.21/0.50 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',mimplies)).
% 0.21/0.50 thf(f187,plain,(
% 0.21/0.50 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f115])).
% 0.21/0.50 thf(f115,plain,(
% 0.21/0.50 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.50 inference(fool_elimination,[],[f114])).
% 0.21/0.50 thf(f114,plain,(
% 0.21/0.50 (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))),
% 0.21/0.50 inference(rectify,[],[f11])).
% 0.21/0.50 thf(f11,axiom,(
% 0.21/0.50 (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',mforall_prop)).
% 0.21/0.50 thf(f158,plain,(
% 0.21/0.50 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))))),
% 0.21/0.50 inference(cnf_transformation,[],[f139])).
% 0.21/0.50 thf(f139,plain,(
% 0.21/0.50 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)))))),
% 0.21/0.50 inference(fool_elimination,[],[f138])).
% 0.21/0.50 thf(f138,plain,(
% 0.21/0.50 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ fool @ X0) @ X0))))),
% 0.21/0.50 inference(rectify,[],[f43])).
% 0.21/0.50 thf(f43,axiom,(
% 0.21/0.50 (mvalid @ (mforall_prop @ (^[X12 : $i > $o] : (mimplies @ (mbox @ fool @ X12) @ X12))))),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',t_axiom_for_fool)).
% 0.21/0.50 thf(f570,plain,(
% 0.21/0.50 spl0_22 | spl0_27),
% 0.21/0.50 inference(avatar_split_clause,[],[f286,f568,f548])).
% 0.21/0.50 thf(f286,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ (sK4 @ X3) @ X3) = $true) | ((fool @ X1 @ X2) = $false) | ($true = (c @ (sK3 @ X3) @ X3))) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f284])).
% 0.21/0.50 thf(f284,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ (sK3 @ X3) @ X3)) | ((fool @ X1 @ X2) = $false) | (((c @ (sK4 @ X3) @ X3) => (c @ (sK4 @ X3) @ spain)) = $false)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f283])).
% 0.21/0.50 thf(f283,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ (sK3 @ X3) @ X3)) | (((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))) @ (sK4 @ X3)) = $false) | ((fool @ X1 @ X2) = $false)) )),
% 0.21/0.50 inference(sigma_clausification,[],[f282])).
% 0.21/0.50 thf(f282,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ (sK3 @ X3) @ X3)) | ((fool @ X1 @ X2) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))) = $false)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f280])).
% 0.21/0.50 thf(f280,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((c @ (sK3 @ X3) @ X3) => (c @ (sK3 @ X3) @ france)) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))) = $false) | ((fool @ X1 @ X2) = $false)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f279])).
% 0.21/0.50 thf(f279,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))) @ (sK3 @ X3)) = $false) | ((fool @ X1 @ X2) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))) = $false)) )),
% 0.21/0.50 inference(sigma_clausification,[],[f278])).
% 0.21/0.50 thf(f278,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france)))) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))) = $false) | ((fool @ X1 @ X2) = $false)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f277])).
% 0.21/0.50 thf(f277,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ france))))) = $false)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f276])).
% 0.21/0.50 thf(f276,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X3) = $false) | ((fool @ X1 @ X2) = $false)) )),
% 0.21/0.50 inference(pi_clausification,[],[f275])).
% 0.21/0.50 thf(f275,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((fool @ X1 @ X2) = $false) | ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $false)) )),
% 0.21/0.50 inference(not_proxy_clausification,[],[f274])).
% 0.21/0.50 thf(f274,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = (~ (fool @ X1 @ X2))) | ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $false)) )),
% 0.21/0.50 inference(not_proxy_clausification,[],[f273])).
% 0.21/0.50 thf(f273,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $true) | ($true = (~ (fool @ X1 @ X2)))) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f271])).
% 0.21/0.50 thf(f271,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france))) | ($true = (~ (fool @ X1 @ X2)))) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f270])).
% 0.21/0.50 thf(f270,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) & (c @ spain @ france)) | (~ (fool @ X1 @ X2))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f269])).
% 0.21/0.50 thf(f269,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france)) | (~ (fool @ X1 @ Y0)))) @ X2) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f268])).
% 0.21/0.50 thf(f268,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ spain @ france)) | (~ (fool @ X1 @ Y0))))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f267])).
% 0.21/0.50 thf(f267,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ spain @ france)) | (~ (fool @ Y0 @ Y1)))))) @ X1))) )),
% 0.21/0.50 inference(pi_clausification,[],[f266])).
% 0.21/0.50 thf(f266,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ spain @ france)) | (~ (fool @ Y0 @ Y1))))))) = $true)),
% 0.21/0.50 inference(beta_eta_normalization,[],[f216])).
% 0.21/0.50 thf(f216,plain,(
% 0.21/0.50 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ fool @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((~ ((^[Y3 : reg]: ((^[Y4 : reg]: (?? @ reg @ (^[Y5 : reg]: (((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y3) & ((^[Y6 : reg]: ((^[Y7 : reg]: (!! @ reg @ (^[Y8 : reg]: ((c @ Y8 @ Y6) => (c @ Y8 @ Y7))))))) @ Y5 @ Y4))))))) @ Y1 @ Y2)) & (c @ Y1 @ Y2))))) @ spain @ france)))) = $true)),
% 0.21/0.50 inference(definition_unfolding,[],[f168,f194,f151,f209])).
% 0.21/0.50 thf(f209,plain,(
% 0.21/0.50 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f179,f207])).
% 0.21/0.50 thf(f179,plain,(
% 0.21/0.50 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f117])).
% 0.21/0.50 thf(f117,plain,(
% 0.21/0.50 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((~ (o @ Y0 @ Y1)) & (c @ Y0 @ Y1))))))),
% 0.21/0.50 inference(fool_elimination,[],[f116])).
% 0.21/0.50 thf(f116,plain,(
% 0.21/0.50 ((^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))) = ec)),
% 0.21/0.50 inference(rectify,[],[f39])).
% 0.21/0.50 thf(f39,axiom,(
% 0.21/0.50 ((^[X0 : reg, X1 : reg] : ((c @ X0 @ X1) & ~(o @ X0 @ X1))) = ec)),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',ec)).
% 0.21/0.50 thf(f168,plain,(
% 0.21/0.50 ($true = (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))))),
% 0.21/0.50 inference(cnf_transformation,[],[f121])).
% 0.21/0.50 thf(f121,plain,(
% 0.21/0.50 ($true = (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)))))),
% 0.21/0.50 inference(fool_elimination,[],[f120])).
% 0.21/0.50 thf(f120,plain,(
% 0.21/0.50 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
% 0.21/0.50 inference(rectify,[],[f47])).
% 0.21/0.50 thf(f47,axiom,(
% 0.21/0.50 (mvalid @ (mbox @ fool @ (^[X0 : $i] : (ec @ spain @ france))))),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',ax2)).
% 0.21/0.50 thf(f566,plain,(
% 0.21/0.50 spl0_22 | spl0_26),
% 0.21/0.50 inference(avatar_split_clause,[],[f285,f564,f548])).
% 0.21/0.50 thf(f285,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = (c @ (sK3 @ X3) @ X3)) | ((fool @ X1 @ X2) = $false) | ((c @ (sK4 @ X3) @ spain) = $false)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f284])).
% 0.21/0.50 thf(f562,plain,(
% 0.21/0.50 spl0_22 | spl0_25),
% 0.21/0.50 inference(avatar_split_clause,[],[f290,f560,f548])).
% 0.21/0.50 thf(f290,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ (sK5 @ X3) @ X3) = $true) | ((fool @ X1 @ X2) = $false) | ((c @ (sK3 @ X3) @ france) = $false)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f288])).
% 0.21/0.50 thf(f288,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ (sK3 @ X3) @ france) = $false) | ((fool @ X1 @ X2) = $false) | ($false = ((c @ (sK5 @ X3) @ X3) => (c @ (sK5 @ X3) @ spain)))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f287])).
% 0.21/0.50 thf(f287,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | (((^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain))) @ (sK5 @ X3)) = $false) | ((c @ (sK3 @ X3) @ france) = $false)) )),
% 0.21/0.50 inference(sigma_clausification,[],[f281])).
% 0.21/0.50 thf(f281,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X3) => (c @ Y0 @ spain)))) = $false) | ((c @ (sK3 @ X3) @ france) = $false)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f280])).
% 0.21/0.50 thf(f558,plain,(
% 0.21/0.50 spl0_24 | spl0_22),
% 0.21/0.50 inference(avatar_split_clause,[],[f289,f548,f556])).
% 0.21/0.50 thf(f289,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((fool @ X1 @ X2) = $false) | ((c @ (sK5 @ X3) @ spain) = $false) | ((c @ (sK3 @ X3) @ france) = $false)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f288])).
% 0.21/0.50 thf(f546,plain,(
% 0.21/0.50 spl0_1 | spl0_21),
% 0.21/0.50 inference(avatar_split_clause,[],[f338,f544,f459])).
% 0.21/0.50 thf(f338,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((a @ X1 @ X2) = $false) | ((c @ X3 @ paris) = $false) | ($true = (c @ X3 @ france))) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f337])).
% 0.21/0.50 thf(f337,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((a @ X1 @ X2) = $false) | ($true = ((c @ X3 @ paris) => (c @ X3 @ france)))) )),
% 0.21/0.50 inference(not_proxy_clausification,[],[f336])).
% 0.21/0.50 thf(f336,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((~ (a @ X1 @ X2)) = $true) | ($true = ((c @ X3 @ paris) => (c @ X3 @ france)))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f335])).
% 0.21/0.50 thf(f335,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X3)) | ((~ (a @ X1 @ X2)) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f334])).
% 0.21/0.50 thf(f334,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) = $true) | ((~ (a @ X1 @ X2)) = $true)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f332])).
% 0.21/0.50 thf(f332,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) = $true) | ((~ (a @ X1 @ X2)) = $true)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f330])).
% 0.21/0.50 thf(f330,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france)))))))) | ((~ (a @ X1 @ X2)) = $true)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f329])).
% 0.21/0.50 thf(f329,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : ((((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) & (c @ Y0 @ paris)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))) & (c @ Y0 @ france))))))) | (~ (a @ X1 @ X2))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f328])).
% 0.21/0.50 thf(f328,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ Y1 @ france))))))) | (~ (a @ X1 @ Y0)))) @ X2) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f327])).
% 0.21/0.50 thf(f327,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) & (c @ Y1 @ paris)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))) & (c @ Y1 @ france))))))) | (~ (a @ X1 @ Y0))))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f326])).
% 0.21/0.50 thf(f326,plain,(
% 0.21/0.50 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))) & (c @ Y2 @ france))))))) | (~ (a @ Y0 @ Y1)))))) @ X1) = $true)) )),
% 0.21/0.50 inference(pi_clausification,[],[f325])).
% 0.21/0.50 thf(f325,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) & (c @ Y2 @ paris)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))) & (c @ Y2 @ france))))))) | (~ (a @ Y0 @ Y1))))))) = $true)),
% 0.21/0.50 inference(beta_eta_normalization,[],[f215])).
% 0.21/0.50 thf(f215,plain,(
% 0.21/0.50 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2))))))))) @ paris @ france)))))),
% 0.21/0.50 inference(definition_unfolding,[],[f166,f194,f151,f212])).
% 0.21/0.50 thf(f212,plain,(
% 0.21/0.50 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1))))))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f178,f210,f209,f209])).
% 0.21/0.50 thf(f210,plain,(
% 0.21/0.50 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f169,f192,f192])).
% 0.21/0.50 thf(f169,plain,(
% 0.21/0.50 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f109])).
% 0.21/0.50 thf(f109,plain,(
% 0.21/0.50 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 0.21/0.50 inference(fool_elimination,[],[f108])).
% 0.21/0.50 thf(f108,plain,(
% 0.21/0.50 ((^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))) = pp)),
% 0.21/0.50 inference(rectify,[],[f40])).
% 0.21/0.50 thf(f40,axiom,(
% 0.21/0.50 ((^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))) = pp)),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',pp)).
% 0.21/0.50 thf(f178,plain,(
% 0.21/0.50 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f145])).
% 0.21/0.50 thf(f145,plain,(
% 0.21/0.50 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f144])).
% 0.21/0.50 thf(f144,plain,(
% 0.21/0.50 (ntpp = (^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))))),
% 0.21/0.50 inference(rectify,[],[f42])).
% 0.21/0.50 thf(f42,axiom,(
% 0.21/0.50 (ntpp = (^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))))),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',ntpp)).
% 0.21/0.50 thf(f166,plain,(
% 0.21/0.50 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 0.21/0.50 inference(cnf_transformation,[],[f131])).
% 0.21/0.50 thf(f131,plain,(
% 0.21/0.50 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 0.21/0.50 inference(fool_elimination,[],[f130])).
% 0.21/0.50 thf(f130,plain,(
% 0.21/0.50 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.21/0.50 inference(rectify,[],[f48])).
% 0.21/0.50 thf(f48,axiom,(
% 0.21/0.50 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',ax3)).
% 0.21/0.50 thf(f474,plain,(
% 0.21/0.50 spl0_1 | spl0_4),
% 0.21/0.50 inference(avatar_split_clause,[],[f440,f472,f459])).
% 0.21/0.50 thf(f440,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((c @ X3 @ catalunya) = $false) | ((a @ X1 @ X2) = $false) | ($true = (c @ X3 @ spain))) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f439])).
% 0.21/0.50 thf(f439,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (($true = ((c @ X3 @ catalunya) => (c @ X3 @ spain))) | ((a @ X1 @ X2) = $false)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f438])).
% 0.21/0.50 thf(f438,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : reg,X1 : $i] : (((a @ X1 @ X2) = $false) | ($true = ((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X3))) )),
% 0.21/0.50 inference(pi_clausification,[],[f437])).
% 0.21/0.50 thf(f437,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false) | ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f435])).
% 0.21/0.50 thf(f435,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) = $true)) )),
% 0.21/0.50 inference(not_proxy_clausification,[],[f394])).
% 0.21/0.50 thf(f394,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((~ (a @ X1 @ X2)) = $true) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) = $true)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f393])).
% 0.21/0.50 thf(f393,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : ((((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true) | ((~ (a @ X1 @ X2)) = $true)) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f392])).
% 0.21/0.50 thf(f392,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((((?? @ reg @ (^[Y0 : reg]: (((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya)))))))) & (c @ Y0 @ catalunya)) & ((~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))) & (c @ Y0 @ spain))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) | (~ (a @ X1 @ X2))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f391])).
% 0.21/0.50 thf(f391,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ Y1 @ spain))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))))) | (~ (a @ X1 @ Y0)))) @ X2))) )),
% 0.21/0.50 inference(pi_clausification,[],[f390])).
% 0.21/0.50 thf(f390,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((?? @ reg @ (^[Y1 : reg]: (((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya)))))))) & (c @ Y1 @ catalunya)) & ((~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))) & (c @ Y1 @ spain))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))))) | (~ (a @ X1 @ Y0))))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f389])).
% 0.21/0.50 thf(f389,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))) & (c @ Y2 @ spain))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))))) | (~ (a @ Y0 @ Y1)))))) @ X1))) )),
% 0.21/0.50 inference(pi_clausification,[],[f388])).
% 0.21/0.50 thf(f388,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((?? @ reg @ (^[Y2 : reg]: (((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya)))))))) & (c @ Y2 @ catalunya)) & ((~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))) & (c @ Y2 @ spain))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))))) | (~ (a @ Y0 @ Y1))))))) = $true)),
% 0.21/0.50 inference(beta_eta_normalization,[],[f219])).
% 0.21/0.50 thf(f219,plain,(
% 0.21/0.50 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)) & (c @ Y4 @ Y5))))) @ Y3 @ Y2)))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ catalunya @ spain)))))),
% 0.21/0.50 inference(definition_unfolding,[],[f195,f194,f151,f211])).
% 0.21/0.50 thf(f211,plain,(
% 0.21/0.50 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)) & (c @ Y3 @ Y4))))) @ Y2 @ Y1)))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f172,f209,f209,f210])).
% 0.21/0.50 thf(f172,plain,(
% 0.21/0.50 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f96])).
% 0.21/0.50 thf(f96,plain,(
% 0.21/0.50 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 0.21/0.50 inference(fool_elimination,[],[f95])).
% 0.21/0.50 thf(f95,plain,(
% 0.21/0.50 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))) = tpp)),
% 0.21/0.50 inference(rectify,[],[f41])).
% 0.21/0.50 thf(f41,axiom,(
% 0.21/0.50 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))) = tpp)),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',tpp)).
% 0.21/0.50 thf(f195,plain,(
% 0.21/0.50 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 0.21/0.50 inference(cnf_transformation,[],[f113])).
% 0.21/0.50 thf(f113,plain,(
% 0.21/0.50 ($true = (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))))),
% 0.21/0.50 inference(fool_elimination,[],[f112])).
% 0.21/0.50 thf(f112,plain,(
% 0.21/0.50 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.21/0.50 inference(rectify,[],[f46])).
% 0.21/0.50 thf(f46,axiom,(
% 0.21/0.50 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.21/0.50 file('/export/starexec/sandbox/tmp/tmp.O5nFvRhCY4/Vampire---4.8_1683',ax1)).
% 0.21/0.50 % SZS output end Proof for Vampire---4
% 0.21/0.50 % (1951)------------------------------
% 0.21/0.50 % (1951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (1951)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (1951)Memory used [KB]: 6396
% 0.21/0.50 % (1951)Time elapsed: 0.050 s
% 0.21/0.50 % (1951)Instructions burned: 102 (million)
% 0.21/0.50 % (1951)------------------------------
% 0.21/0.50 % (1951)------------------------------
% 0.21/0.50 % (1921)Success in time 0.136 s
% 0.21/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------