TSTP Solution File: SEU938^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU938^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n026.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 : Tue May 21 03:52:15 EDT 2024
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU938^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 15:35:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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/benchmark/theBenchmark.p
% 0.13/0.36 % (16953)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.36 % (16952)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.36 % (16947)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 theBenchmark for (2999ds/4Mi)
% 0.13/0.36 % (16946)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.36 % (16948)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 theBenchmark for (2999ds/27Mi)
% 0.13/0.36 % (16949)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.36 % (16950)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (16951)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.37 % (16949)Instruction limit reached!
% 0.13/0.37 % (16949)------------------------------
% 0.13/0.37 % (16949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (16949)Termination reason: Unknown
% 0.13/0.37 % (16949)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (16950)Instruction limit reached!
% 0.13/0.37 % (16950)------------------------------
% 0.13/0.37 % (16950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (16950)Termination reason: Unknown
% 0.13/0.37 % (16950)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (16950)Memory used [KB]: 895
% 0.13/0.37 % (16950)Time elapsed: 0.003 s
% 0.13/0.37 % (16950)Instructions burned: 2 (million)
% 0.13/0.37 % (16950)------------------------------
% 0.13/0.37 % (16950)------------------------------
% 0.13/0.37 % (16949)Memory used [KB]: 895
% 0.13/0.37 % (16949)Time elapsed: 0.003 s
% 0.13/0.37 % (16949)Instructions burned: 2 (million)
% 0.13/0.37 % (16949)------------------------------
% 0.13/0.37 % (16949)------------------------------
% 0.13/0.37 % (16953)Instruction limit reached!
% 0.13/0.37 % (16953)------------------------------
% 0.13/0.37 % (16953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (16953)Termination reason: Unknown
% 0.13/0.37 % (16953)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (16953)Memory used [KB]: 5500
% 0.13/0.37 % (16953)Time elapsed: 0.004 s
% 0.13/0.37 % (16953)Instructions burned: 4 (million)
% 0.13/0.37 % (16953)------------------------------
% 0.13/0.37 % (16953)------------------------------
% 0.19/0.37 % (16947)Instruction limit reached!
% 0.19/0.37 % (16947)------------------------------
% 0.19/0.37 % (16947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (16947)Termination reason: Unknown
% 0.19/0.37 % (16947)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (16947)Memory used [KB]: 5500
% 0.19/0.37 % (16947)Time elapsed: 0.005 s
% 0.19/0.37 % (16947)Instructions burned: 4 (million)
% 0.19/0.37 % (16947)------------------------------
% 0.19/0.37 % (16947)------------------------------
% 0.19/0.37 % (16952)Instruction limit reached!
% 0.19/0.37 % (16952)------------------------------
% 0.19/0.37 % (16952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (16952)Termination reason: Unknown
% 0.19/0.37 % (16952)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (16952)Memory used [KB]: 5628
% 0.19/0.37 % (16952)Time elapsed: 0.012 s
% 0.19/0.37 % (16952)Instructions burned: 20 (million)
% 0.19/0.37 % (16952)------------------------------
% 0.19/0.37 % (16952)------------------------------
% 0.19/0.38 % (16956)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.38 % (16954)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 theBenchmark for (2999ds/37Mi)
% 0.19/0.38 % (16955)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 theBenchmark for (2999ds/15Mi)
% 0.19/0.38 % (16956)Instruction limit reached!
% 0.19/0.38 % (16956)------------------------------
% 0.19/0.38 % (16956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (16956)Termination reason: Unknown
% 0.19/0.38 % (16956)Termination phase: Saturation
% 0.19/0.38
% 0.19/0.38 % (16956)Memory used [KB]: 5500
% 0.19/0.38 % (16956)Time elapsed: 0.003 s
% 0.19/0.38 % (16956)Instructions burned: 3 (million)
% 0.19/0.38 % (16956)------------------------------
% 0.19/0.38 % (16956)------------------------------
% 0.19/0.38 % (16948)Instruction limit reached!
% 0.19/0.38 % (16948)------------------------------
% 0.19/0.38 % (16948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (16948)Termination reason: Unknown
% 0.19/0.38 % (16948)Termination phase: Saturation
% 0.19/0.38
% 0.19/0.38 % (16948)Memory used [KB]: 5500
% 0.19/0.38 % (16948)Time elapsed: 0.019 s
% 0.19/0.38 % (16948)Instructions burned: 28 (million)
% 0.19/0.38 % (16948)------------------------------
% 0.19/0.38 % (16948)------------------------------
% 0.19/0.39 % (16957)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 theBenchmark for (2999ds/1041Mi)
% 0.19/0.39 % (16958)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.39 % (16955)Instruction limit reached!
% 0.19/0.39 % (16955)------------------------------
% 0.19/0.39 % (16955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (16955)Termination reason: Unknown
% 0.19/0.39 % (16955)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (16955)Memory used [KB]: 5500
% 0.19/0.39 % (16955)Time elapsed: 0.011 s
% 0.19/0.39 % (16955)Instructions burned: 15 (million)
% 0.19/0.39 % (16955)------------------------------
% 0.19/0.39 % (16955)------------------------------
% 0.19/0.39 % (16958)Instruction limit reached!
% 0.19/0.39 % (16958)------------------------------
% 0.19/0.39 % (16958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (16958)Termination reason: Unknown
% 0.19/0.39 % (16958)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (16958)Memory used [KB]: 1023
% 0.19/0.39 % (16958)Time elapsed: 0.006 s
% 0.19/0.39 % (16958)Instructions burned: 8 (million)
% 0.19/0.39 % (16958)------------------------------
% 0.19/0.39 % (16958)------------------------------
% 0.19/0.40 % (16960)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 theBenchmark for (2999ds/3Mi)
% 0.19/0.40 % (16959)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.40 % (16960)Instruction limit reached!
% 0.19/0.40 % (16960)------------------------------
% 0.19/0.40 % (16960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (16960)Termination reason: Unknown
% 0.19/0.40 % (16960)Termination phase: Twee Goal Transformation
% 0.19/0.40
% 0.19/0.40 % (16960)Memory used [KB]: 1023
% 0.19/0.40 % (16960)Time elapsed: 0.004 s
% 0.19/0.40 % (16960)Instructions burned: 4 (million)
% 0.19/0.40 % (16960)------------------------------
% 0.19/0.40 % (16960)------------------------------
% 0.19/0.40 % (16954)Instruction limit reached!
% 0.19/0.40 % (16954)------------------------------
% 0.19/0.40 % (16954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (16954)Termination reason: Unknown
% 0.19/0.40 % (16954)Termination phase: Saturation
% 0.19/0.40
% 0.19/0.40 % (16954)Memory used [KB]: 5628
% 0.19/0.40 % (16954)Time elapsed: 0.024 s
% 0.19/0.40 % (16954)Instructions burned: 38 (million)
% 0.19/0.40 % (16954)------------------------------
% 0.19/0.40 % (16954)------------------------------
% 0.19/0.40 % (16961)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 theBenchmark for (2999ds/3Mi)
% 0.19/0.41 % (16959)Instruction limit reached!
% 0.19/0.41 % (16959)------------------------------
% 0.19/0.41 % (16959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (16959)Termination reason: Unknown
% 0.19/0.41 % (16959)Termination phase: Saturation
% 0.19/0.41
% 0.19/0.41 % (16959)Memory used [KB]: 5628
% 0.19/0.41 % (16959)Time elapsed: 0.033 s
% 0.19/0.41 % (16959)Instructions burned: 17 (million)
% 0.19/0.41 % (16959)------------------------------
% 0.19/0.41 % (16959)------------------------------
% 0.19/0.41 % (16961)Instruction limit reached!
% 0.19/0.41 % (16961)------------------------------
% 0.19/0.41 % (16961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (16961)Termination reason: Unknown
% 0.19/0.41 % (16961)Termination phase: Saturation
% 0.19/0.41
% 0.19/0.41 % (16961)Memory used [KB]: 1023
% 0.19/0.41 % (16961)Time elapsed: 0.004 s
% 0.19/0.41 % (16961)Instructions burned: 4 (million)
% 0.19/0.41 % (16961)------------------------------
% 0.19/0.41 % (16961)------------------------------
% 0.19/0.41 % (16962)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.41 % (16962)Instruction limit reached!
% 0.19/0.41 % (16962)------------------------------
% 0.19/0.41 % (16962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (16962)Termination reason: Unknown
% 0.19/0.41 % (16962)Termination phase: Saturation
% 0.19/0.41
% 0.19/0.41 % (16962)Memory used [KB]: 5500
% 0.19/0.41 % (16962)Time elapsed: 0.005 s
% 0.19/0.41 % (16962)Instructions burned: 7 (million)
% 0.19/0.41 % (16962)------------------------------
% 0.19/0.41 % (16962)------------------------------
% 0.19/0.41 % (16965)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.42 % (16964)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.42 % (16965)Instruction limit reached!
% 0.19/0.42 % (16965)------------------------------
% 0.19/0.42 % (16965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (16965)Termination reason: Unknown
% 0.19/0.42 % (16965)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (16965)Memory used [KB]: 5500
% 0.19/0.42 % (16965)Time elapsed: 0.007 s
% 0.19/0.42 % (16965)Instructions burned: 18 (million)
% 0.19/0.42 % (16965)------------------------------
% 0.19/0.42 % (16965)------------------------------
% 0.19/0.42 % (16963)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.42 % (16964)Instruction limit reached!
% 0.19/0.42 % (16964)------------------------------
% 0.19/0.42 % (16964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (16964)Termination reason: Unknown
% 0.19/0.42 % (16964)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (16964)Memory used [KB]: 5500
% 0.19/0.42 % (16964)Time elapsed: 0.005 s
% 0.19/0.42 % (16964)Instructions burned: 5 (million)
% 0.19/0.42 % (16964)------------------------------
% 0.19/0.42 % (16964)------------------------------
% 0.19/0.42 % (16967)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.42 % (16966)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.42 % (16963)Instruction limit reached!
% 0.19/0.42 % (16963)------------------------------
% 0.19/0.42 % (16963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (16963)Termination reason: Unknown
% 0.19/0.42 % (16963)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (16963)Memory used [KB]: 5500
% 0.19/0.42 % (16963)Time elapsed: 0.005 s
% 0.19/0.42 % (16963)Instructions burned: 3 (million)
% 0.19/0.42 % (16963)------------------------------
% 0.19/0.42 % (16963)------------------------------
% 0.19/0.42 % (16967)Instruction limit reached!
% 0.19/0.42 % (16967)------------------------------
% 0.19/0.42 % (16967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (16967)Termination reason: Unknown
% 0.19/0.42 % (16967)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (16967)Memory used [KB]: 5500
% 0.19/0.42 % (16967)Time elapsed: 0.003 s
% 0.19/0.42 % (16967)Instructions burned: 6 (million)
% 0.19/0.42 % (16967)------------------------------
% 0.19/0.42 % (16967)------------------------------
% 0.19/0.43 % (16968)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 theBenchmark for (2999ds/902Mi)
% 0.19/0.43 % (16946)First to succeed.
% 0.19/0.43 % (16946)Refutation found. Thanks to Tanya!
% 0.19/0.43 % SZS status Theorem for theBenchmark
% 0.19/0.43 % SZS output start Proof for theBenchmark
% 0.19/0.43 thf(func_def_2, type, h: $i > $i).
% 0.19/0.43 thf(func_def_8, type, sK0: ($i > $i) > ($i > $i) > $i).
% 0.19/0.43 thf(func_def_9, type, sK1: ($i > $i) > ($i > $i) > ($i > $i) > $o).
% 0.19/0.43 thf(func_def_10, type, sK2: (($i > $i) > $o) > ($i > $i) > $i > $i).
% 0.19/0.43 thf(func_def_13, type, ph4: !>[X0: $tType]:(X0)).
% 0.19/0.43 thf(f316,plain,(
% 0.19/0.43 $false),
% 0.19/0.43 inference(avatar_sat_refutation,[],[f206,f262,f315])).
% 0.19/0.43 thf(f315,plain,(
% 0.19/0.43 ~spl3_4),
% 0.19/0.43 inference(avatar_contradiction_clause,[],[f314])).
% 0.19/0.43 thf(f314,plain,(
% 0.19/0.43 $false | ~spl3_4),
% 0.19/0.43 inference(subsumption_resolution,[],[f303,f20])).
% 0.19/0.43 thf(f20,plain,(
% 0.19/0.43 (a = (h @ a))),
% 0.19/0.43 inference(cnf_transformation,[],[f12])).
% 0.19/0.43 thf(f12,plain,(
% 0.19/0.43 ! [X0 : $i > $i,X1 : $i > $i] : ((X0 = X1) | ((X1 @ (sK0 @ X1 @ X0)) != (X0 @ (sK0 @ X1 @ X0)))) & (a = (h @ a)) & ! [X3 : $i > $i,X4 : $i > $i] : ((! [X6 : $i > $i] : (($true != (sK1 @ X4 @ X3 @ X6)) | ((sK1 @ X4 @ X3 @ (^[Y0 : $i]: (X3 @ (X6 @ Y0)))) = $true)) & ((sK1 @ X4 @ X3 @ (^[Y0 : $i]: (X4 @ (X3 @ Y0)))) != $true) & ((sK1 @ X4 @ X3 @ X3) = $true)) | ! [X7 : ($i > $i) > $o] : ((($true = (X7 @ (sK2 @ X7 @ X3))) & ($true != (X7 @ (^[Y0 : $i]: (X3 @ (sK2 @ X7 @ X3 @ Y0)))))) | ((X7 @ X3) != $true) | ($true = (X7 @ X4)))) & (a != (h @ b))),
% 0.19/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f11,f10,f9])).
% 0.19/0.43 thf(f9,plain,(
% 0.19/0.43 ! [X0 : $i > $i,X1 : $i > $i] : (? [X2] : ((X0 @ X2) != (X1 @ X2)) => ((X1 @ (sK0 @ X1 @ X0)) != (X0 @ (sK0 @ X1 @ X0))))),
% 0.19/0.43 introduced(choice_axiom,[])).
% 0.19/0.43 thf(f10,plain,(
% 0.19/0.43 ! [X3 : $i > $i,X4 : $i > $i] : (? [X5 : ($i > $i) > $o] : (! [X6 : $i > $i] : (((X5 @ X6) != $true) | ($true = (X5 @ (^[Y0 : $i]: (X3 @ (X6 @ Y0)))))) & ($true != (X5 @ (^[Y0 : $i]: (X4 @ (X3 @ Y0))))) & ((X5 @ X3) = $true)) => (! [X6 : $i > $i] : (($true != (sK1 @ X4 @ X3 @ X6)) | ((sK1 @ X4 @ X3 @ (^[Y0 : $i]: (X3 @ (X6 @ Y0)))) = $true)) & ((sK1 @ X4 @ X3 @ (^[Y0 : $i]: (X4 @ (X3 @ Y0)))) != $true) & ((sK1 @ X4 @ X3 @ X3) = $true)))),
% 0.19/0.43 introduced(choice_axiom,[])).
% 0.19/0.43 thf(f11,plain,(
% 0.19/0.43 ! [X3 : $i > $i,X7 : ($i > $i) > $o] : (? [X8 : $i > $i] : (($true = (X7 @ X8)) & ((X7 @ (^[Y0 : $i]: (X3 @ (X8 @ Y0)))) != $true)) => (($true = (X7 @ (sK2 @ X7 @ X3))) & ($true != (X7 @ (^[Y0 : $i]: (X3 @ (sK2 @ X7 @ X3 @ Y0)))))))),
% 0.19/0.43 introduced(choice_axiom,[])).
% 0.19/0.43 thf(f8,plain,(
% 0.19/0.43 ! [X0 : $i > $i,X1 : $i > $i] : ((X0 = X1) | ? [X2] : ((X0 @ X2) != (X1 @ X2))) & (a = (h @ a)) & ! [X3 : $i > $i,X4 : $i > $i] : (? [X5 : ($i > $i) > $o] : (! [X6 : $i > $i] : (((X5 @ X6) != $true) | ($true = (X5 @ (^[Y0 : $i]: (X3 @ (X6 @ Y0)))))) & ($true != (X5 @ (^[Y0 : $i]: (X4 @ (X3 @ Y0))))) & ((X5 @ X3) = $true)) | ! [X7 : ($i > $i) > $o] : (? [X8 : $i > $i] : (($true = (X7 @ X8)) & ((X7 @ (^[Y0 : $i]: (X3 @ (X8 @ Y0)))) != $true)) | ((X7 @ X3) != $true) | ($true = (X7 @ X4)))) & (a != (h @ b))),
% 0.19/0.43 inference(flattening,[],[f7])).
% 0.19/0.43 thf(f7,plain,(
% 0.19/0.43 ! [X3 : $i > $i,X4 : $i > $i] : (! [X7 : ($i > $i) > $o] : (($true = (X7 @ X4)) | (? [X8 : $i > $i] : (($true = (X7 @ X8)) & ((X7 @ (^[Y0 : $i]: (X3 @ (X8 @ Y0)))) != $true)) | ((X7 @ X3) != $true))) | ? [X5 : ($i > $i) > $o] : (($true != (X5 @ (^[Y0 : $i]: (X4 @ (X3 @ Y0))))) & (! [X6 : $i > $i] : (((X5 @ X6) != $true) | ($true = (X5 @ (^[Y0 : $i]: (X3 @ (X6 @ Y0)))))) & ((X5 @ X3) = $true)))) & ((a = (h @ a)) & (a != (h @ b)) & ! [X0 : $i > $i,X1 : $i > $i] : ((X0 = X1) | ? [X2] : ((X0 @ X2) != (X1 @ X2))))),
% 0.19/0.43 inference(ennf_transformation,[],[f6])).
% 0.19/0.43 thf(f6,plain,(
% 0.19/0.43 ~(((a = (h @ a)) & (a != (h @ b)) & ! [X0 : $i > $i,X1 : $i > $i] : (! [X2] : ((X0 @ X2) = (X1 @ X2)) => (X0 = X1))) => ~! [X3 : $i > $i,X4 : $i > $i] : (! [X5 : ($i > $i) > $o] : ((! [X6 : $i > $i] : (((X5 @ X6) = $true) => ($true = (X5 @ (^[Y0 : $i]: (X3 @ (X6 @ Y0)))))) & ((X5 @ X3) = $true)) => ($true = (X5 @ (^[Y0 : $i]: (X4 @ (X3 @ Y0)))))) => ! [X7 : ($i > $i) > $o] : ((! [X8 : $i > $i] : (($true = (X7 @ X8)) => ((X7 @ (^[Y0 : $i]: (X3 @ (X8 @ Y0)))) = $true)) & ((X7 @ X3) = $true)) => ($true = (X7 @ X4)))))),
% 0.19/0.43 inference(rectify,[],[f5])).
% 0.19/0.43 thf(f5,plain,(
% 0.19/0.43 ~(((a = (h @ a)) & (a != (h @ b)) & ! [X0 : $i > $i,X1 : $i > $i] : (! [X2] : ((X0 @ X2) = (X1 @ X2)) => (X0 = X1))) => ~! [X3 : $i > $i,X4 : $i > $i] : (! [X5 : ($i > $i) > $o] : ((! [X6 : $i > $i] : (((X5 @ X6) = $true) => ($true = (X5 @ (^[Y0 : $i]: (X3 @ (X6 @ Y0)))))) & ((X5 @ X3) = $true)) => ($true = (X5 @ (^[Y0 : $i]: (X4 @ (X3 @ Y0)))))) => ! [X9 : ($i > $i) > $o] : ((! [X10 : $i > $i] : (($true = (X9 @ X10)) => ((X9 @ (^[Y0 : $i]: (X3 @ (X10 @ Y0)))) = $true)) & ($true = (X9 @ X3))) => ((X9 @ X4) = $true))))),
% 0.19/0.43 inference(fool_elimination,[],[f4])).
% 0.19/0.43 thf(f4,plain,(
% 0.19/0.43 ~(((a = (h @ a)) & (a != (h @ b)) & ! [X0 : $i > $i,X1 : $i > $i] : (! [X2] : ((X0 @ X2) = (X1 @ X2)) => (X0 = X1))) => ~! [X3 : $i > $i,X4 : $i > $i] : (! [X5 : ($i > $i) > $o] : (((X5 @ X3) & ! [X6 : $i > $i] : ((X5 @ X6) => (X5 @ (^[X7 : $i] : (X3 @ (X6 @ X7)))))) => (X5 @ (^[X8 : $i] : (X4 @ (X3 @ X8))))) => ! [X9 : ($i > $i) > $o] : ((! [X10 : $i > $i] : ((X9 @ X10) => (X9 @ (^[X11 : $i] : (X3 @ (X10 @ X11))))) & (X9 @ X3)) => (X9 @ X4))))),
% 0.19/0.43 inference(rectify,[],[f2])).
% 0.19/0.43 thf(f2,negated_conjecture,(
% 0.19/0.43 ~(((a = (h @ a)) & (a != (h @ b)) & ! [X0 : $i > $i,X1 : $i > $i] : (! [X2] : ((X0 @ X2) = (X1 @ X2)) => (X0 = X1))) => ~! [X3 : $i > $i,X4 : $i > $i] : (! [X5 : ($i > $i) > $o] : (((X5 @ X3) & ! [X6 : $i > $i] : ((X5 @ X6) => (X5 @ (^[X2 : $i] : (X3 @ (X6 @ X2)))))) => (X5 @ (^[X2 : $i] : (X4 @ (X3 @ X2))))) => ! [X5 : ($i > $i) > $o] : ((! [X7 : $i > $i] : ((X5 @ X7) => (X5 @ (^[X2 : $i] : (X3 @ (X7 @ X2))))) & (X5 @ X3)) => (X5 @ X4))))),
% 0.19/0.43 inference(negated_conjecture,[],[f1])).
% 0.19/0.43 thf(f1,conjecture,(
% 0.19/0.43 ((a = (h @ a)) & (a != (h @ b)) & ! [X0 : $i > $i,X1 : $i > $i] : (! [X2] : ((X0 @ X2) = (X1 @ X2)) => (X0 = X1))) => ~! [X3 : $i > $i,X4 : $i > $i] : (! [X5 : ($i > $i) > $o] : (((X5 @ X3) & ! [X6 : $i > $i] : ((X5 @ X6) => (X5 @ (^[X2 : $i] : (X3 @ (X6 @ X2)))))) => (X5 @ (^[X2 : $i] : (X4 @ (X3 @ X2))))) => ! [X5 : ($i > $i) > $o] : ((! [X7 : $i > $i] : ((X5 @ X7) => (X5 @ (^[X2 : $i] : (X3 @ (X7 @ X2))))) & (X5 @ X3)) => (X5 @ X4)))),
% 0.19/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM196_pme)).
% 0.19/0.43 thf(f303,plain,(
% 0.19/0.43 (a != (h @ a)) | ~spl3_4),
% 0.19/0.43 inference(superposition,[],[f13,f277])).
% 0.19/0.43 thf(f277,plain,(
% 0.19/0.43 ( ! [X1 : $i] : (((h @ a) = X1)) ) | ~spl3_4),
% 0.19/0.43 inference(beta_eta_normalization,[],[f263])).
% 0.19/0.43 thf(f263,plain,(
% 0.19/0.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: (h @ a)) @ X1) = ((^[Y0 : $i]: (Y0)) @ X1))) ) | ~spl3_4),
% 0.19/0.43 inference(argument_congruence,[],[f200])).
% 0.19/0.43 thf(f200,plain,(
% 0.19/0.43 ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (h @ a))) | ~spl3_4),
% 0.19/0.43 inference(avatar_component_clause,[],[f198])).
% 0.19/0.43 thf(f198,plain,(
% 0.19/0.43 spl3_4 <=> ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (h @ a)))),
% 0.19/0.43 introduced(avatar_definition,[new_symbols(naming,[spl3_4])])).
% 0.19/0.43 thf(f13,plain,(
% 0.19/0.43 (a != (h @ b))),
% 0.19/0.43 inference(cnf_transformation,[],[f12])).
% 0.19/0.43 thf(f262,plain,(
% 0.19/0.43 ~spl3_3),
% 0.19/0.43 inference(avatar_contradiction_clause,[],[f261])).
% 0.19/0.43 thf(f261,plain,(
% 0.19/0.43 $false | ~spl3_3),
% 0.19/0.43 inference(subsumption_resolution,[],[f249,f20])).
% 0.19/0.43 thf(f249,plain,(
% 0.19/0.43 (a != (h @ a)) | ~spl3_3),
% 0.19/0.43 inference(superposition,[],[f13,f196])).
% 0.19/0.43 thf(f196,plain,(
% 0.19/0.43 ( ! [X0 : $i] : ((a = X0)) ) | ~spl3_3),
% 0.19/0.43 inference(avatar_component_clause,[],[f195])).
% 0.19/0.43 thf(f195,plain,(
% 0.19/0.43 spl3_3 <=> ! [X0] : (a = X0)),
% 0.19/0.43 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])).
% 0.19/0.43 thf(f206,plain,(
% 0.19/0.43 spl3_3 | spl3_4),
% 0.19/0.43 inference(avatar_split_clause,[],[f182,f198,f195])).
% 0.19/0.43 thf(f182,plain,(
% 0.19/0.43 ( ! [X0 : $i] : (((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (h @ a))) | (a = X0)) )),
% 0.19/0.43 inference(trivial_inequality_removal,[],[f181])).
% 0.19/0.43 thf(f181,plain,(
% 0.19/0.43 ( ! [X0 : $i] : (((^[Y0 : $i]: (h @ a)) != (^[Y0 : $i]: (h @ a))) | (a = X0) | ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (h @ a)))) )),
% 0.19/0.43 inference(beta_eta_normalization,[],[f180])).
% 0.19/0.43 thf(f180,plain,(
% 0.19/0.43 ( ! [X0 : $i] : (((^[Y0 : $i]: (h @ a)) != (^[Y0 : $i]: ((^[Y1 : $i]: (h @ a)) @ (sK2 @ (= @ (^[Y1 : $i]: (h @ a))) @ (^[Y1 : $i]: (h @ a)) @ Y0)))) | ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (h @ a))) | (a = ((^[Y0 : $i]: (Y0)) @ X0))) )),
% 0.19/0.43 inference(trivial_inequality_removal,[],[f179])).
% 0.19/0.43 thf(f179,plain,(
% 0.19/0.43 ( ! [X0 : $i] : (($true != $true) | ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (h @ a))) | ((^[Y0 : $i]: (h @ a)) != (^[Y0 : $i]: ((^[Y1 : $i]: (h @ a)) @ (sK2 @ (= @ (^[Y1 : $i]: (h @ a))) @ (^[Y1 : $i]: (h @ a)) @ Y0)))) | (a = ((^[Y0 : $i]: (Y0)) @ X0))) )),
% 0.19/0.43 inference(duplicate_literal_removal,[],[f170])).
% 0.19/0.43 thf(f170,plain,(
% 0.19/0.43 ( ! [X0 : $i] : (((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (h @ a))) | (a = ((^[Y0 : $i]: (Y0)) @ X0)) | ($true != $true) | ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (h @ a))) | ((^[Y0 : $i]: (h @ a)) != (^[Y0 : $i]: ((^[Y1 : $i]: (h @ a)) @ (sK2 @ (= @ (^[Y1 : $i]: (h @ a))) @ (^[Y1 : $i]: (h @ a)) @ Y0))))) )),
% 0.19/0.43 inference(superposition,[],[f121,f164])).
% 0.19/0.43 thf(f164,plain,(
% 0.19/0.43 ( ! [X0 : $i > $i,X1 : $i] : (($true = (sK1 @ X0 @ (^[Y0 : $i]: (h @ a)) @ (^[Y0 : $i]: (h @ a)))) | (a = (X0 @ X1)) | ((^[Y0 : $i]: (h @ a)) = X0)) )),
% 0.19/0.43 inference(beta_eta_normalization,[],[f156])).
% 0.19/0.43 thf(f156,plain,(
% 0.19/0.43 ( ! [X0 : $i > $i,X1 : $i] : (((^[Y0 : $i]: (h @ ((^[Y1 : $i]: (a)) @ Y0))) = X0) | (a = (X0 @ X1)) | ((sK1 @ X0 @ (^[Y0 : $i]: (h @ ((^[Y1 : $i]: (a)) @ Y0))) @ (^[Y0 : $i]: (h @ ((^[Y1 : $i]: (a)) @ Y0)))) = $true)) )),
% 0.19/0.43 inference(superposition,[],[f20,f142])).
% 0.19/0.43 thf(f142,plain,(
% 0.19/0.43 ( ! [X2 : $i,X0 : $i > $i,X1 : $i > $i] : (((X1 @ X2) = (X0 @ (sK2 @ (^[Y0 : $i > $i]: (~ (X1 = Y0))) @ X0 @ X2))) | ($true = (sK1 @ X1 @ X0 @ X0)) | (X0 = X1)) )),
% 0.19/0.43 inference(beta_eta_normalization,[],[f133])).
% 0.19/0.43 thf(f133,plain,(
% 0.19/0.43 ( ! [X2 : $i,X0 : $i > $i,X1 : $i > $i] : (((X1 @ X2) = ((^[Y0 : $i]: (X0 @ (sK2 @ (^[Y1 : $i > $i]: (~ (X1 = Y1))) @ X0 @ Y0))) @ X2)) | ($true = (sK1 @ X1 @ X0 @ X0)) | (X0 = X1)) )),
% 0.19/0.43 inference(argument_congruence,[],[f78])).
% 0.19/0.43 thf(f78,plain,(
% 0.19/0.43 ( ! [X0 : $i > $i,X1 : $i > $i] : (((^[Y0 : $i]: (X0 @ (sK2 @ (^[Y1 : $i > $i]: (~ (X1 = Y1))) @ X0 @ Y0))) = X1) | ($true = (sK1 @ X1 @ X0 @ X0)) | (X0 = X1)) )),
% 0.19/0.43 inference(equality_proxy_clausification,[],[f77])).
% 0.19/0.43 thf(f77,plain,(
% 0.19/0.43 ( ! [X0 : $i > $i,X1 : $i > $i] : (((^[Y0 : $i]: (X0 @ (sK2 @ (^[Y1 : $i > $i]: (~ (X1 = Y1))) @ X0 @ Y0))) = X1) | ($true = (sK1 @ X1 @ X0 @ X0)) | ($true = (X1 = X0))) )),
% 0.19/0.43 inference(not_proxy_clausification,[],[f76])).
% 0.19/0.43 thf(f76,plain,(
% 0.19/0.43 ( ! [X0 : $i > $i,X1 : $i > $i] : (($true != (~ (X1 = X0))) | ((^[Y0 : $i]: (X0 @ (sK2 @ (^[Y1 : $i > $i]: (~ (X1 = Y1))) @ X0 @ Y0))) = X1) | ($true = (sK1 @ X1 @ X0 @ X0))) )),
% 0.19/0.43 inference(beta_eta_normalization,[],[f65])).
% 0.19/0.43 thf(f65,plain,(
% 0.19/0.43 ( ! [X0 : $i > $i,X1 : $i > $i] : (((^[Y0 : $i]: (X0 @ (sK2 @ (^[Y1 : $i > $i]: (~ (X1 = Y1))) @ X0 @ Y0))) = X1) | ($true = (sK1 @ X1 @ X0 @ X0)) | ($true != ((^[Y0 : $i > $i]: (~ (X1 = Y0))) @ X0))) )),
% 0.19/0.43 inference(leibniz_equality_elimination,[],[f14])).
% 0.19/0.43 thf(f14,plain,(
% 0.19/0.43 ( ! [X3 : $i > $i,X7 : ($i > $i) > $o,X4 : $i > $i] : (($true != (X7 @ (^[Y0 : $i]: (X3 @ (sK2 @ X7 @ X3 @ Y0))))) | ((X7 @ X3) != $true) | ((sK1 @ X4 @ X3 @ X3) = $true) | ($true = (X7 @ X4))) )),
% 0.19/0.43 inference(cnf_transformation,[],[f12])).
% 0.19/0.43 thf(f121,plain,(
% 0.19/0.43 ( ! [X0 : $i > $i,X1 : $i > $i] : (($true != (sK1 @ X1 @ X0 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0))))) | (X0 = X1) | ((^[Y0 : $i]: (X0 @ (sK2 @ (= @ X0) @ X0 @ Y0))) != X0)) )),
% 0.19/0.43 inference(equality_proxy_clausification,[],[f116])).
% 0.19/0.43 thf(f116,plain,(
% 0.19/0.43 ( ! [X0 : $i > $i,X1 : $i > $i] : ((X0 = X1) | ((X0 = (^[Y0 : $i]: (X0 @ (sK2 @ (= @ X0) @ X0 @ Y0)))) != $true) | ($true != (sK1 @ X1 @ X0 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0)))))) )),
% 0.19/0.43 inference(leibniz_equality_elimination,[],[f16])).
% 0.19/0.43 thf(f16,plain,(
% 0.19/0.43 ( ! [X3 : $i > $i,X7 : ($i > $i) > $o,X4 : $i > $i] : (((sK1 @ X4 @ X3 @ (^[Y0 : $i]: (X4 @ (X3 @ Y0)))) != $true) | ((X7 @ X3) != $true) | ($true = (X7 @ X4)) | ($true != (X7 @ (^[Y0 : $i]: (X3 @ (sK2 @ X7 @ X3 @ Y0)))))) )),
% 0.19/0.43 inference(cnf_transformation,[],[f12])).
% 0.19/0.43 % SZS output end Proof for theBenchmark
% 0.19/0.43 % (16946)------------------------------
% 0.19/0.43 % (16946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (16946)Termination reason: Refutation
% 0.19/0.43
% 0.19/0.43 % (16946)Memory used [KB]: 6140
% 0.19/0.43 % (16946)Time elapsed: 0.069 s
% 0.19/0.43 % (16946)Instructions burned: 105 (million)
% 0.19/0.43 % (16946)------------------------------
% 0.19/0.43 % (16946)------------------------------
% 0.19/0.43 % (16945)Success in time 0.085 s
% 0.19/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------