TSTP Solution File: AGT040^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT040^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 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 : n011.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 : Mon May 20 17:58:50 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : AGT040^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 18:49:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 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
% 0.16/0.39 % (30885)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.39 % (30886)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)
% 0.16/0.39 % (30889)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)
% 0.16/0.39 % (30888)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.39 % (30887)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)
% 0.16/0.39 % (30890)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)
% 0.16/0.39 % (30891)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.39 % (30892)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)
% 0.16/0.39 % (30888)Instruction limit reached!
% 0.16/0.39 % (30888)------------------------------
% 0.16/0.39 % (30888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (30889)Instruction limit reached!
% 0.16/0.39 % (30889)------------------------------
% 0.16/0.39 % (30889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (30888)Termination reason: Unknown
% 0.16/0.39 % (30888)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (30888)Memory used [KB]: 1023
% 0.16/0.39 % (30888)Time elapsed: 0.004 s
% 0.16/0.39 % (30888)Instructions burned: 3 (million)
% 0.16/0.39 % (30888)------------------------------
% 0.16/0.39 % (30888)------------------------------
% 0.16/0.39 % (30889)Termination reason: Unknown
% 0.16/0.39 % (30889)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (30889)Memory used [KB]: 1023
% 0.16/0.39 % (30889)Time elapsed: 0.004 s
% 0.16/0.39 % (30889)Instructions burned: 3 (million)
% 0.16/0.39 % (30889)------------------------------
% 0.16/0.39 % (30889)------------------------------
% 0.16/0.39 % (30892)Instruction limit reached!
% 0.16/0.39 % (30892)------------------------------
% 0.16/0.39 % (30892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (30892)Termination reason: Unknown
% 0.16/0.39 % (30892)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (30892)Memory used [KB]: 1023
% 0.22/0.39 % (30892)Time elapsed: 0.004 s
% 0.22/0.39 % (30892)Instructions burned: 3 (million)
% 0.22/0.39 % (30892)------------------------------
% 0.22/0.39 % (30892)------------------------------
% 0.22/0.39 % (30886)Instruction limit reached!
% 0.22/0.39 % (30886)------------------------------
% 0.22/0.39 % (30886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (30886)Termination reason: Unknown
% 0.22/0.39 % (30886)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (30886)Memory used [KB]: 1151
% 0.22/0.39 % (30886)Time elapsed: 0.005 s
% 0.22/0.39 % (30886)Instructions burned: 5 (million)
% 0.22/0.39 % (30886)------------------------------
% 0.22/0.39 % (30886)------------------------------
% 0.22/0.40 % (30890)Refutation not found, incomplete strategy
% 0.22/0.40 % (30890)------------------------------
% 0.22/0.40 % (30890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (30890)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (30890)Memory used [KB]: 5628
% 0.22/0.40 % (30890)Time elapsed: 0.010 s
% 0.22/0.40 % (30890)Instructions burned: 14 (million)
% 0.22/0.40 % (30890)------------------------------
% 0.22/0.40 % (30890)------------------------------
% 0.22/0.40 % (30891)Instruction limit reached!
% 0.22/0.40 % (30891)------------------------------
% 0.22/0.40 % (30891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (30891)Termination reason: Unknown
% 0.22/0.40 % (30891)Termination phase: Property scanning
% 0.22/0.40
% 0.22/0.40 % (30891)Memory used [KB]: 1151
% 0.22/0.40 % (30891)Time elapsed: 0.011 s
% 0.22/0.40 % (30891)Instructions burned: 18 (million)
% 0.22/0.40 % (30891)------------------------------
% 0.22/0.40 % (30891)------------------------------
% 0.22/0.40 % (30887)Instruction limit reached!
% 0.22/0.40 % (30887)------------------------------
% 0.22/0.40 % (30887)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (30887)Termination reason: Unknown
% 0.22/0.40 % (30887)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (30887)Memory used [KB]: 5756
% 0.22/0.40 % (30887)Time elapsed: 0.015 s
% 0.22/0.40 % (30887)Instructions burned: 27 (million)
% 0.22/0.40 % (30887)------------------------------
% 0.22/0.40 % (30887)------------------------------
% 0.22/0.40 % (30893)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)
% 0.22/0.40 % (30894)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)
% 0.22/0.40 % (30895)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)
% 0.22/0.40 % (30896)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)
% 0.22/0.41 % (30895)Instruction limit reached!
% 0.22/0.41 % (30895)------------------------------
% 0.22/0.41 % (30895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30895)Termination reason: Unknown
% 0.22/0.41 % (30895)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (30895)Memory used [KB]: 1023
% 0.22/0.41 % (30895)Time elapsed: 0.004 s
% 0.22/0.41 % (30895)Instructions burned: 4 (million)
% 0.22/0.41 % (30895)------------------------------
% 0.22/0.41 % (30895)------------------------------
% 0.22/0.41 % (30897)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41 % (30898)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.41 % (30894)Instruction limit reached!
% 0.22/0.41 % (30894)------------------------------
% 0.22/0.41 % (30894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30894)Termination reason: Unknown
% 0.22/0.41 % (30894)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (30894)Memory used [KB]: 1151
% 0.22/0.41 % (30894)Time elapsed: 0.010 s
% 0.22/0.41 % (30894)Instructions burned: 16 (million)
% 0.22/0.41 % (30894)------------------------------
% 0.22/0.41 % (30894)------------------------------
% 0.22/0.41 % (30897)Instruction limit reached!
% 0.22/0.41 % (30897)------------------------------
% 0.22/0.41 % (30897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (30897)Termination reason: Unknown
% 0.22/0.41 % (30897)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (30897)Memory used [KB]: 1151
% 0.22/0.41 % (30897)Time elapsed: 0.006 s
% 0.22/0.41 % (30897)Instructions burned: 8 (million)
% 0.22/0.41 % (30897)------------------------------
% 0.22/0.41 % (30897)------------------------------
% 0.22/0.42 % (30899)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)
% 0.22/0.42 % (30899)Instruction limit reached!
% 0.22/0.42 % (30899)------------------------------
% 0.22/0.42 % (30899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30899)Termination reason: Unknown
% 0.22/0.42 % (30899)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (30899)Memory used [KB]: 1023
% 0.22/0.42 % (30899)Time elapsed: 0.004 s
% 0.22/0.42 % (30899)Instructions burned: 3 (million)
% 0.22/0.42 % (30899)------------------------------
% 0.22/0.42 % (30899)------------------------------
% 0.22/0.42 % (30898)Instruction limit reached!
% 0.22/0.42 % (30898)------------------------------
% 0.22/0.42 % (30898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30898)Termination reason: Unknown
% 0.22/0.42 % (30898)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (30898)Memory used [KB]: 1151
% 0.22/0.42 % (30898)Time elapsed: 0.010 s
% 0.22/0.42 % (30898)Instructions burned: 16 (million)
% 0.22/0.42 % (30898)------------------------------
% 0.22/0.42 % (30898)------------------------------
% 0.22/0.42 % (30900)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)
% 0.22/0.42 % (30893)Instruction limit reached!
% 0.22/0.42 % (30893)------------------------------
% 0.22/0.42 % (30893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30893)Termination reason: Unknown
% 0.22/0.42 % (30893)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (30893)Memory used [KB]: 5884
% 0.22/0.42 % (30893)Time elapsed: 0.020 s
% 0.22/0.42 % (30893)Instructions burned: 37 (million)
% 0.22/0.42 % (30893)------------------------------
% 0.22/0.42 % (30893)------------------------------
% 0.22/0.42 % (30900)Instruction limit reached!
% 0.22/0.42 % (30900)------------------------------
% 0.22/0.42 % (30900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (30900)Termination reason: Unknown
% 0.22/0.42 % (30900)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (30900)Memory used [KB]: 1023
% 0.22/0.42 % (30900)Time elapsed: 0.004 s
% 0.22/0.42 % (30900)Instructions burned: 4 (million)
% 0.22/0.42 % (30900)------------------------------
% 0.22/0.42 % (30900)------------------------------
% 0.22/0.43 % (30901)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)
% 0.22/0.43 % (30885)First to succeed.
% 0.22/0.43 % (30902)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)
% 0.22/0.43 % (30901)Instruction limit reached!
% 0.22/0.43 % (30901)------------------------------
% 0.22/0.43 % (30901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (30901)Termination reason: Unknown
% 0.22/0.43 % (30901)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (30901)Memory used [KB]: 1151
% 0.22/0.43 % (30901)Time elapsed: 0.006 s
% 0.22/0.43 % (30901)Instructions burned: 7 (million)
% 0.22/0.43 % (30901)------------------------------
% 0.22/0.43 % (30901)------------------------------
% 0.22/0.43 % (30902)Instruction limit reached!
% 0.22/0.43 % (30902)------------------------------
% 0.22/0.43 % (30902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (30902)Termination reason: Unknown
% 0.22/0.43 % (30902)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (30902)Memory used [KB]: 1023
% 0.22/0.43 % (30902)Time elapsed: 0.004 s
% 0.22/0.43 % (30902)Instructions burned: 4 (million)
% 0.22/0.43 % (30902)------------------------------
% 0.22/0.43 % (30902)------------------------------
% 0.22/0.43 % (30903)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.43 % (30885)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% 0.22/0.43 thf(type_def_5, type, mu: $tType).
% 0.22/0.43 thf(func_def_0, type, mu: $tType).
% 0.22/0.43 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.43 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.43 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.43 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.43 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.43 thf(func_def_33, type, a1: $i > $i > $o).
% 0.22/0.43 thf(func_def_34, type, a2: $i > $i > $o).
% 0.22/0.43 thf(func_def_35, type, a3: $i > $i > $o).
% 0.22/0.43 thf(func_def_36, type, jan: mu).
% 0.22/0.43 thf(func_def_37, type, piotr: mu).
% 0.22/0.43 thf(func_def_38, type, cola: mu).
% 0.22/0.43 thf(func_def_39, type, pepsi: mu).
% 0.22/0.43 thf(func_def_40, type, beer: mu).
% 0.22/0.43 thf(func_def_41, type, likes: mu > mu > $i > $o).
% 0.22/0.43 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 0.22/0.43 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 0.22/0.43 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.43 thf(func_def_62, type, sK1: $i > $i).
% 0.22/0.43 thf(func_def_63, type, sK2: $i > $i).
% 0.22/0.43 thf(func_def_64, type, sK3: mu > mu > $i > $i).
% 0.22/0.43 thf(func_def_65, type, sK4: mu > mu > $i > $i).
% 0.22/0.43 thf(func_def_66, type, sK5: mu > mu > $i > $i).
% 0.22/0.43 thf(func_def_67, type, sK6: $i > $i).
% 0.22/0.43 thf(func_def_68, type, sK7: $i > $i).
% 0.22/0.43 thf(func_def_69, type, sK8: mu > $i > mu > $i).
% 0.22/0.43 thf(func_def_70, type, sK9: $i > $i).
% 0.22/0.43 thf(f803,plain,(
% 0.22/0.43 $false),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f794])).
% 0.22/0.43 thf(f794,plain,(
% 0.22/0.43 ($true = $false)),
% 0.22/0.43 inference(superposition,[],[f788,f432])).
% 0.22/0.43 thf(f432,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (a1 @ X1 @ (sK6 @ X1)))) )),
% 0.22/0.43 inference(sigma_clausification,[],[f431])).
% 0.22/0.43 thf(f431,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (?? @ $i @ (a1 @ X1)))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f430])).
% 0.22/0.43 thf(f430,plain,(
% 0.22/0.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (a1 @ Y0))) @ X1) = $true)) )),
% 0.22/0.43 inference(pi_clausification,[],[f429])).
% 0.22/0.43 thf(f429,plain,(
% 0.22/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (a1 @ Y0)))))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f330])).
% 0.22/0.43 thf(f330,plain,(
% 0.22/0.43 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ a1))),
% 0.22/0.43 inference(definition_unfolding,[],[f269,f224])).
% 0.22/0.43 thf(f224,plain,(
% 0.22/0.43 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f213])).
% 0.22/0.43 thf(f213,plain,(
% 0.22/0.43 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.22/0.43 inference(fool_elimination,[],[f212])).
% 0.22/0.43 thf(f212,plain,(
% 0.22/0.43 (mserial = (^[X0 : $i > $i > $o] : (! [X1] : ? [X2] : (X0 @ X1 @ X2))))),
% 0.22/0.43 inference(rectify,[],[f20])).
% 0.22/0.43 thf(f20,axiom,(
% 0.22/0.43 (mserial = (^[X6 : $i > $i > $o] : (! [X8] : ? [X9] : (X6 @ X8 @ X9))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial)).
% 0.22/0.43 thf(f269,plain,(
% 0.22/0.43 ((mserial @ a1) = $true)),
% 0.22/0.43 inference(cnf_transformation,[],[f145])).
% 0.22/0.43 thf(f145,plain,(
% 0.22/0.43 ((mserial @ a1) = $true)),
% 0.22/0.43 inference(fool_elimination,[],[f144])).
% 0.22/0.43 thf(f144,plain,(
% 0.22/0.43 (mserial @ a1)),
% 0.22/0.43 inference(rectify,[],[f53])).
% 0.22/0.43 thf(f53,axiom,(
% 0.22/0.43 (mserial @ a1)),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1)).
% 0.22/0.43 thf(f788,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (((a1 @ (sK1 @ sK10) @ X0) = $false)) )),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f777])).
% 0.22/0.43 thf(f777,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (((a1 @ (sK1 @ sK10) @ X0) = $false) | ($true = $false)) )),
% 0.22/0.43 inference(superposition,[],[f772,f700])).
% 0.22/0.43 thf(f700,plain,(
% 0.22/0.43 ( ! [X2 : $i,X1 : $i] : (($true = (a1 @ X1 @ X2)) | ((a1 @ X2 @ X1) = $false)) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f699])).
% 0.22/0.43 thf(f699,plain,(
% 0.22/0.43 ( ! [X2 : $i,X1 : $i] : (($true = ((a1 @ X2 @ X1) => (a1 @ X1 @ X2)))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f698])).
% 0.22/0.43 thf(f698,plain,(
% 0.22/0.43 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((a1 @ Y0 @ X1) => (a1 @ X1 @ Y0))) @ X2))) )),
% 0.22/0.43 inference(pi_clausification,[],[f697])).
% 0.22/0.43 thf(f697,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((a1 @ Y0 @ X1) => (a1 @ X1 @ Y0)))))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f696])).
% 0.22/0.43 thf(f696,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a1 @ Y1 @ Y0) => (a1 @ Y0 @ Y1))))) @ X1))) )),
% 0.22/0.43 inference(pi_clausification,[],[f695])).
% 0.22/0.43 thf(f695,plain,(
% 0.22/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a1 @ Y1 @ Y0) => (a1 @ Y0 @ Y1)))))))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f314])).
% 0.22/0.43 thf(f314,plain,(
% 0.22/0.43 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ a1))),
% 0.22/0.43 inference(definition_unfolding,[],[f241,f252])).
% 0.22/0.43 thf(f252,plain,(
% 0.22/0.43 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f176])).
% 0.22/0.43 thf(f176,plain,(
% 0.22/0.43 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f175])).
% 0.22/0.43 thf(f175,plain,(
% 0.22/0.43 ((^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))) = msymmetric)),
% 0.22/0.43 inference(rectify,[],[f19])).
% 0.22/0.43 thf(f19,axiom,(
% 0.22/0.43 ((^[X6 : $i > $i > $o] : (! [X8,X9] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))) = msymmetric)),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
% 0.22/0.43 thf(f241,plain,(
% 0.22/0.43 ((msymmetric @ a1) = $true)),
% 0.22/0.43 inference(cnf_transformation,[],[f196])).
% 0.22/0.43 thf(f196,plain,(
% 0.22/0.43 ((msymmetric @ a1) = $true)),
% 0.22/0.43 inference(fool_elimination,[],[f195])).
% 0.22/0.43 thf(f195,plain,(
% 0.22/0.43 (msymmetric @ a1)),
% 0.22/0.43 inference(rectify,[],[f50])).
% 0.22/0.43 thf(f50,axiom,(
% 0.22/0.43 (msymmetric @ a1)),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1)).
% 0.22/0.43 thf(f772,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (((a1 @ X0 @ (sK1 @ sK10)) = $false)) )),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f755])).
% 0.22/0.43 thf(f755,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (((a1 @ X0 @ (sK1 @ sK10)) = $false) | ($true = $false)) )),
% 0.22/0.43 inference(superposition,[],[f749,f353])).
% 0.22/0.43 thf(f353,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (a2 @ X1 @ (sK1 @ X1)))) )),
% 0.22/0.43 inference(sigma_clausification,[],[f352])).
% 0.22/0.43 thf(f352,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (?? @ $i @ (a2 @ X1)))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f351])).
% 0.22/0.43 thf(f351,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (?? @ $i @ (a2 @ Y0))) @ X1))) )),
% 0.22/0.43 inference(pi_clausification,[],[f350])).
% 0.22/0.43 thf(f350,plain,(
% 0.22/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (a2 @ Y0)))))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f317])).
% 0.22/0.43 thf(f317,plain,(
% 0.22/0.43 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ a2))),
% 0.22/0.43 inference(definition_unfolding,[],[f244,f224])).
% 0.22/0.43 thf(f244,plain,(
% 0.22/0.43 ((mserial @ a2) = $true)),
% 0.22/0.43 inference(cnf_transformation,[],[f182])).
% 0.22/0.43 thf(f182,plain,(
% 0.22/0.43 ((mserial @ a2) = $true)),
% 0.22/0.43 inference(fool_elimination,[],[f181])).
% 0.22/0.43 thf(f181,plain,(
% 0.22/0.43 (mserial @ a2)),
% 0.22/0.43 inference(rectify,[],[f54])).
% 0.22/0.43 thf(f54,axiom,(
% 0.22/0.43 (mserial @ a2)),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a2)).
% 0.22/0.43 thf(f749,plain,(
% 0.22/0.43 ( ! [X0 : $i,X1 : $i] : (((a2 @ sK10 @ X0) = $false) | ((a1 @ X1 @ X0) = $false)) )),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f746])).
% 0.22/0.43 thf(f746,plain,(
% 0.22/0.43 ( ! [X0 : $i,X1 : $i] : (((a2 @ sK10 @ X0) = $false) | ($true = $false) | ((a1 @ X1 @ X0) = $false)) )),
% 0.22/0.43 inference(superposition,[],[f745,f719])).
% 0.22/0.43 thf(f719,plain,(
% 0.22/0.43 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ piotr @ cola @ X2)) | ((a1 @ X1 @ X2) = $false)) )),
% 0.22/0.43 inference(not_proxy_clausification,[],[f718])).
% 0.22/0.43 thf(f718,plain,(
% 0.22/0.43 ( ! [X2 : $i,X1 : $i] : (($true = (~ (a1 @ X1 @ X2))) | ($true = (likes @ piotr @ cola @ X2))) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f717])).
% 0.22/0.43 thf(f717,plain,(
% 0.22/0.43 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a1 @ X1 @ X2)) | (likes @ piotr @ cola @ X2)))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f716])).
% 0.22/0.43 thf(f716,plain,(
% 0.22/0.43 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a1 @ X1 @ Y0)) | (likes @ piotr @ cola @ Y0))) @ X2))) )),
% 0.22/0.43 inference(pi_clausification,[],[f715])).
% 0.22/0.43 thf(f715,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a1 @ X1 @ Y0)) | (likes @ piotr @ cola @ Y0)))))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f714])).
% 0.22/0.43 thf(f714,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a1 @ Y0 @ Y1)) | (likes @ piotr @ cola @ Y1))))) @ X1))) )),
% 0.22/0.43 inference(pi_clausification,[],[f713])).
% 0.22/0.43 thf(f713,plain,(
% 0.22/0.43 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a1 @ Y0 @ Y1)) | (likes @ piotr @ cola @ Y1)))))) = $true)),
% 0.22/0.43 inference(beta_eta_normalization,[],[f329])).
% 0.22/0.43 thf(f329,plain,(
% 0.22/0.43 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a1 @ (likes @ piotr @ cola))))),
% 0.22/0.43 inference(definition_unfolding,[],[f267,f258,f222])).
% 0.22/0.43 thf(f222,plain,(
% 0.22/0.43 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f95])).
% 0.22/0.43 thf(f95,plain,(
% 0.22/0.43 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f94])).
% 0.22/0.43 thf(f94,plain,(
% 0.22/0.43 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
% 0.22/0.43 inference(rectify,[],[f16])).
% 0.22/0.43 thf(f16,axiom,(
% 0.22/0.43 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.22/0.43 thf(f258,plain,(
% 0.22/0.43 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.43 inference(cnf_transformation,[],[f77])).
% 0.22/0.43 thf(f77,plain,(
% 0.22/0.43 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.43 inference(fool_elimination,[],[f76])).
% 0.22/0.43 thf(f76,plain,(
% 0.22/0.43 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.22/0.43 inference(rectify,[],[f28])).
% 0.22/0.43 thf(f28,axiom,(
% 0.22/0.43 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.22/0.43 thf(f267,plain,(
% 0.22/0.43 ((mvalid @ (mbox @ a1 @ (likes @ piotr @ cola))) = $true)),
% 0.22/0.43 inference(cnf_transformation,[],[f147])).
% 0.22/0.43 thf(f147,plain,(
% 0.22/0.43 ((mvalid @ (mbox @ a1 @ (likes @ piotr @ cola))) = $true)),
% 0.22/0.43 inference(fool_elimination,[],[f146])).
% 0.22/0.43 thf(f146,plain,(
% 0.22/0.43 (mvalid @ (mbox @ a1 @ (likes @ piotr @ cola)))),
% 0.22/0.43 inference(rectify,[],[f37])).
% 0.22/0.43 thf(f37,axiom,(
% 0.22/0.43 (mvalid @ (mbox @ a1 @ (likes @ piotr @ cola)))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_2)).
% 0.22/0.43 thf(f745,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (((likes @ piotr @ cola @ X0) = $false) | ((a2 @ sK10 @ X0) = $false)) )),
% 0.22/0.43 inference(trivial_inequality_removal,[],[f742])).
% 0.22/0.43 thf(f742,plain,(
% 0.22/0.43 ( ! [X0 : $i] : (($true = $false) | ((likes @ piotr @ cola @ X0) = $false) | ((a2 @ sK10 @ X0) = $false)) )),
% 0.22/0.43 inference(superposition,[],[f393,f615])).
% 0.22/0.43 thf(f615,plain,(
% 0.22/0.43 ((possibly_likes @ piotr @ cola @ sK10) = $false)),
% 0.22/0.43 inference(sigma_clausification,[],[f614])).
% 0.22/0.43 thf(f614,plain,(
% 0.22/0.43 ($true != (!! @ $i @ (possibly_likes @ piotr @ cola)))),
% 0.22/0.43 inference(beta_eta_normalization,[],[f337])).
% 0.22/0.43 thf(f337,plain,(
% 0.22/0.43 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (possibly_likes @ piotr @ cola)))),
% 0.22/0.43 inference(definition_unfolding,[],[f288,f258])).
% 0.22/0.43 thf(f288,plain,(
% 0.22/0.43 ((mvalid @ (possibly_likes @ piotr @ cola)) != $true)),
% 0.22/0.43 inference(cnf_transformation,[],[f218])).
% 0.22/0.43 thf(f218,plain,(
% 0.22/0.43 ((mvalid @ (possibly_likes @ piotr @ cola)) != $true)),
% 0.22/0.43 inference(flattening,[],[f107])).
% 0.22/0.43 thf(f107,plain,(
% 0.22/0.43 ~((mvalid @ (possibly_likes @ piotr @ cola)) = $true)),
% 0.22/0.43 inference(fool_elimination,[],[f106])).
% 0.22/0.43 thf(f106,plain,(
% 0.22/0.43 ~(mvalid @ (possibly_likes @ piotr @ cola))),
% 0.22/0.43 inference(rectify,[],[f74])).
% 0.22/0.43 thf(f74,negated_conjecture,(
% 0.22/0.43 ~(mvalid @ (possibly_likes @ piotr @ cola))),
% 0.22/0.43 inference(negated_conjecture,[],[f73])).
% 0.22/0.43 thf(f73,conjecture,(
% 0.22/0.43 (mvalid @ (possibly_likes @ piotr @ cola))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.22/0.43 thf(f393,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ((likes @ X2 @ X3 @ X4) = $false) | ((a2 @ X1 @ X4) = $false)) )),
% 0.22/0.43 inference(not_proxy_clausification,[],[f392])).
% 0.22/0.43 thf(f392,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (likes @ X2 @ X3 @ X4))) | ($true = (possibly_likes @ X2 @ X3 @ X1)) | ((a2 @ X1 @ X4) = $false)) )),
% 0.22/0.43 inference(not_proxy_clausification,[],[f391])).
% 0.22/0.43 thf(f391,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (possibly_likes @ X2 @ X3 @ X1)) | ($true = (~ (a2 @ X1 @ X4))) | ($true = (~ (likes @ X2 @ X3 @ X4)))) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f390])).
% 0.22/0.43 thf(f390,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((~ (a2 @ X1 @ X4)) | (~ (likes @ X2 @ X3 @ X4)))) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f389])).
% 0.22/0.43 thf(f389,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: ((~ (a2 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0)))) @ X4)) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.43 inference(pi_clausification,[],[f388])).
% 0.22/0.43 thf(f388,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a2 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0)))))) | ($true = (possibly_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.43 inference(binary_proxy_clausification,[],[f387])).
% 0.22/0.43 thf(f387,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (a2 @ X1 @ Y0)) | (~ (likes @ X2 @ X3 @ Y0))))) | (possibly_likes @ X2 @ X3 @ X1)))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f386])).
% 0.22/0.43 thf(f386,plain,(
% 0.22/0.43 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a2 @ X1 @ Y1)) | (~ (likes @ X2 @ Y0 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1))) @ X3))) )),
% 0.22/0.43 inference(pi_clausification,[],[f385])).
% 0.22/0.43 thf(f385,plain,(
% 0.22/0.43 ( ! [X2 : mu,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (a2 @ X1 @ Y1)) | (~ (likes @ X2 @ Y0 @ Y1))))) | (possibly_likes @ X2 @ Y0 @ X1)))))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f384])).
% 0.22/0.43 thf(f384,plain,(
% 0.22/0.43 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a2 @ X1 @ Y2)) | (~ (likes @ Y0 @ Y1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1))))) @ X2))) )),
% 0.22/0.43 inference(pi_clausification,[],[f383])).
% 0.22/0.43 thf(f383,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (a2 @ X1 @ Y2)) | (~ (likes @ Y0 @ Y1 @ Y2))))) | (possibly_likes @ Y0 @ Y1 @ X1)))))))) )),
% 0.22/0.43 inference(beta_eta_normalization,[],[f382])).
% 0.22/0.43 thf(f382,plain,(
% 0.22/0.43 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (a2 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0))))))) @ X1))) )),
% 0.22/0.43 inference(pi_clausification,[],[f381])).
% 0.22/0.43 thf(f381,plain,(
% 0.22/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((!! @ $i @ (^[Y3 : $i]: ((~ (a2 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))))),
% 0.22/0.43 inference(boolean_simplification,[],[f380])).
% 0.22/0.43 thf(f380,plain,(
% 0.22/0.43 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (a2 @ Y0 @ Y3)) | (~ (likes @ Y1 @ Y2 @ Y3))))))) | (possibly_likes @ Y1 @ Y2 @ Y0)))))))) = $true)),
% 0.22/0.43 inference(beta_eta_normalization,[],[f333])).
% 0.22/0.43 thf(f333,plain,(
% 0.22/0.43 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((~ (Y4 @ Y6 @ Y7)) | (Y5 @ Y7))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ a2 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))) = $true)),
% 0.22/0.43 inference(definition_unfolding,[],[f277,f258,f286,f286,f293,f300])).
% 0.22/0.43 thf(f300,plain,(
% 0.22/0.43 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.22/0.43 inference(definition_unfolding,[],[f237,f248,f222,f248])).
% 0.22/0.43 thf(f248,plain,(
% 0.22/0.43 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f139])).
% 0.22/0.43 thf(f139,plain,(
% 0.22/0.43 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.43 inference(fool_elimination,[],[f138])).
% 0.22/0.43 thf(f138,plain,(
% 0.22/0.43 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.22/0.43 inference(rectify,[],[f3])).
% 0.22/0.43 thf(f3,axiom,(
% 0.22/0.43 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.22/0.43 thf(f237,plain,(
% 0.22/0.43 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f200])).
% 0.22/0.43 thf(f200,plain,(
% 0.22/0.43 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.22/0.43 inference(fool_elimination,[],[f199])).
% 0.22/0.43 thf(f199,plain,(
% 0.22/0.43 (mdia = (^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))))),
% 0.22/0.43 inference(rectify,[],[f17])).
% 0.22/0.43 thf(f17,axiom,(
% 0.22/0.43 (mdia = (^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)).
% 0.22/0.43 thf(f293,plain,(
% 0.22/0.43 (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)))))),
% 0.22/0.43 inference(definition_unfolding,[],[f279,f270,f248])).
% 0.22/0.43 thf(f270,plain,(
% 0.22/0.43 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f143])).
% 0.22/0.43 thf(f143,plain,(
% 0.22/0.43 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f142])).
% 0.22/0.43 thf(f142,plain,(
% 0.22/0.43 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.22/0.43 inference(rectify,[],[f4])).
% 0.22/0.43 thf(f4,axiom,(
% 0.22/0.43 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.22/0.43 thf(f279,plain,(
% 0.22/0.43 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.43 inference(cnf_transformation,[],[f93])).
% 0.22/0.43 thf(f93,plain,(
% 0.22/0.43 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.43 inference(fool_elimination,[],[f92])).
% 0.22/0.43 thf(f92,plain,(
% 0.22/0.43 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.22/0.43 inference(rectify,[],[f6])).
% 0.22/0.43 thf(f6,axiom,(
% 0.22/0.43 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.22/0.43 thf(f286,plain,(
% 0.22/0.43 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f205])).
% 0.22/0.43 thf(f205,plain,(
% 0.22/0.43 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.43 inference(fool_elimination,[],[f204])).
% 0.22/0.43 thf(f204,plain,(
% 0.22/0.43 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
% 0.22/0.43 inference(rectify,[],[f10])).
% 0.22/0.43 thf(f10,axiom,(
% 0.22/0.43 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 0.22/0.43 thf(f277,plain,(
% 0.22/0.43 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a2 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.22/0.43 inference(cnf_transformation,[],[f85])).
% 0.22/0.43 thf(f85,plain,(
% 0.22/0.43 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mdia @ a2 @ (likes @ Y0 @ Y1)) @ (possibly_likes @ Y0 @ Y1))))))))),
% 0.22/0.43 inference(fool_elimination,[],[f84])).
% 0.22/0.43 thf(f84,plain,(
% 0.22/0.43 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a2 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.22/0.43 inference(rectify,[],[f48])).
% 0.22/0.43 thf(f48,axiom,(
% 0.22/0.43 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mdia @ a2 @ (likes @ X0 @ X1)) @ (possibly_likes @ X0 @ X1)))))))),
% 0.22/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_4)).
% 0.22/0.43 % SZS output end Proof for theBenchmark
% 0.22/0.43 % (30885)------------------------------
% 0.22/0.43 % (30885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (30885)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (30885)Memory used [KB]: 6268
% 0.22/0.43 % (30885)Time elapsed: 0.046 s
% 0.22/0.43 % (30885)Instructions burned: 75 (million)
% 0.22/0.43 % (30885)------------------------------
% 0.22/0.43 % (30885)------------------------------
% 0.22/0.43 % (30884)Success in time 0.044 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------