TSTP Solution File: AGT035^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT035^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 17:58:48 EDT 2024
% Result : Theorem 0.67s 0.58s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : AGT035^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 18:53:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36 ipcrm: permission denied for id (1752924160)
% 0.21/0.37 ipcrm: permission denied for id (1752956929)
% 0.21/0.37 ipcrm: permission denied for id (1752989698)
% 0.21/0.37 ipcrm: permission denied for id (1753022467)
% 0.21/0.37 ipcrm: permission denied for id (1753055236)
% 0.21/0.37 ipcrm: permission denied for id (1753153543)
% 0.21/0.38 ipcrm: permission denied for id (1753219081)
% 0.21/0.38 ipcrm: permission denied for id (1753251850)
% 0.21/0.38 ipcrm: permission denied for id (1753382926)
% 0.21/0.38 ipcrm: permission denied for id (1753415695)
% 0.21/0.38 ipcrm: permission denied for id (1753448464)
% 0.21/0.39 ipcrm: permission denied for id (1753514002)
% 0.21/0.39 ipcrm: permission denied for id (1753579540)
% 0.21/0.39 ipcrm: permission denied for id (1753612309)
% 0.21/0.39 ipcrm: permission denied for id (1753677848)
% 0.21/0.40 ipcrm: permission denied for id (1753710617)
% 0.21/0.40 ipcrm: permission denied for id (1753841693)
% 0.21/0.40 ipcrm: permission denied for id (1753874462)
% 0.21/0.40 ipcrm: permission denied for id (1753940000)
% 0.21/0.41 ipcrm: permission denied for id (1754136613)
% 0.21/0.41 ipcrm: permission denied for id (1754202151)
% 0.21/0.41 ipcrm: permission denied for id (1754234921)
% 0.21/0.42 ipcrm: permission denied for id (1754267690)
% 0.21/0.42 ipcrm: permission denied for id (1754300459)
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% 0.21/0.43 ipcrm: permission denied for id (1754562610)
% 0.21/0.43 ipcrm: permission denied for id (1754595379)
% 0.21/0.43 ipcrm: permission denied for id (1754628148)
% 0.21/0.43 ipcrm: permission denied for id (1754759223)
% 0.21/0.43 ipcrm: permission denied for id (1754791992)
% 0.21/0.43 ipcrm: permission denied for id (1754824761)
% 0.21/0.44 ipcrm: permission denied for id (1755250747)
% 0.21/0.44 ipcrm: permission denied for id (1755545661)
% 0.21/0.44 ipcrm: permission denied for id (1755971648)
% 0.21/0.45 ipcrm: permission denied for id (1756201029)
% 0.21/0.45 ipcrm: permission denied for id (1756233798)
% 0.21/0.45 ipcrm: permission denied for id (1756266567)
% 0.21/0.46 ipcrm: permission denied for id (1756397642)
% 0.21/0.46 ipcrm: permission denied for id (1756430411)
% 0.21/0.46 ipcrm: permission denied for id (1756561486)
% 0.21/0.46 ipcrm: permission denied for id (1756627024)
% 0.21/0.46 ipcrm: permission denied for id (1756659793)
% 0.21/0.47 ipcrm: permission denied for id (1756692562)
% 0.21/0.47 ipcrm: permission denied for id (1756725331)
% 0.21/0.47 ipcrm: permission denied for id (1756790870)
% 0.21/0.47 ipcrm: permission denied for id (1756823639)
% 0.21/0.48 ipcrm: permission denied for id (1756921946)
% 0.21/0.48 ipcrm: permission denied for id (1756987484)
% 0.21/0.48 ipcrm: permission denied for id (1757020253)
% 0.21/0.48 ipcrm: permission denied for id (1757053022)
% 0.21/0.48 ipcrm: permission denied for id (1757085791)
% 0.21/0.49 ipcrm: permission denied for id (1757184098)
% 0.21/0.49 ipcrm: permission denied for id (1757216867)
% 0.21/0.49 ipcrm: permission denied for id (1757249636)
% 0.21/0.49 ipcrm: permission denied for id (1757282405)
% 0.21/0.49 ipcrm: permission denied for id (1757315174)
% 0.21/0.49 ipcrm: permission denied for id (1757380712)
% 0.21/0.49 ipcrm: permission denied for id (1757413481)
% 0.21/0.50 ipcrm: permission denied for id (1757544557)
% 0.21/0.50 ipcrm: permission denied for id (1757577326)
% 0.21/0.50 ipcrm: permission denied for id (1757642863)
% 0.21/0.50 ipcrm: permission denied for id (1757708400)
% 0.21/0.50 ipcrm: permission denied for id (1757741169)
% 0.21/0.51 ipcrm: permission denied for id (1757773938)
% 0.21/0.51 ipcrm: permission denied for id (1757872243)
% 0.21/0.51 ipcrm: permission denied for id (1757905012)
% 0.21/0.51 ipcrm: permission denied for id (1757937781)
% 0.21/0.52 ipcrm: permission denied for id (1758167162)
% 0.21/0.52 ipcrm: permission denied for id (1758199931)
% 0.21/0.52 ipcrm: permission denied for id (1758265468)
% 0.21/0.52 ipcrm: permission denied for id (1758298237)
% 0.21/0.54 % (21701)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 (2998ds/4Mi)
% 0.21/0.54 % (21700)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.21/0.54 % (21703)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.21/0.54 % (21704)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 (2998ds/2Mi)
% 0.21/0.54 % (21702)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 (2998ds/27Mi)
% 0.21/0.54 % (21705)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 (2998ds/275Mi)
% 0.21/0.54 % (21706)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.21/0.54 % (21703)Instruction limit reached!
% 0.21/0.54 % (21703)------------------------------
% 0.21/0.54 % (21703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (21703)Termination reason: Unknown
% 0.21/0.54 % (21703)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (21704)Instruction limit reached!
% 0.21/0.54 % (21704)------------------------------
% 0.21/0.54 % (21704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (21704)Termination reason: Unknown
% 0.21/0.54 % (21704)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (21704)Memory used [KB]: 1023
% 0.21/0.54 % (21704)Time elapsed: 0.003 s
% 0.21/0.54 % (21704)Instructions burned: 2 (million)
% 0.21/0.54 % (21704)------------------------------
% 0.21/0.54 % (21704)------------------------------
% 0.21/0.54 % (21703)Memory used [KB]: 1023
% 0.21/0.54 % (21703)Time elapsed: 0.003 s
% 0.21/0.54 % (21703)Instructions burned: 2 (million)
% 0.21/0.54 % (21703)------------------------------
% 0.21/0.54 % (21703)------------------------------
% 0.21/0.54 % (21701)Instruction limit reached!
% 0.21/0.54 % (21701)------------------------------
% 0.21/0.54 % (21701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (21701)Termination reason: Unknown
% 0.21/0.54 % (21701)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (21701)Memory used [KB]: 1023
% 0.21/0.54 % (21701)Time elapsed: 0.004 s
% 0.21/0.54 % (21701)Instructions burned: 4 (million)
% 0.21/0.54 % (21701)------------------------------
% 0.21/0.54 % (21701)------------------------------
% 0.21/0.55 % (21705)Refutation not found, incomplete strategy
% 0.21/0.55 % (21705)------------------------------
% 0.21/0.55 % (21705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (21705)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55
% 0.21/0.55 % (21705)Memory used [KB]: 5628
% 0.21/0.55 % (21705)Time elapsed: 0.008 s
% 0.21/0.55 % (21705)Instructions burned: 11 (million)
% 0.21/0.55 % (21705)------------------------------
% 0.21/0.55 % (21705)------------------------------
% 0.21/0.55 % (21706)Instruction limit reached!
% 0.21/0.55 % (21706)------------------------------
% 0.21/0.55 % (21706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (21706)Termination reason: Unknown
% 0.21/0.55 % (21706)Termination phase: Property scanning
% 0.21/0.55
% 0.21/0.55 % (21706)Memory used [KB]: 1151
% 0.21/0.55 % (21706)Time elapsed: 0.011 s
% 0.21/0.55 % (21706)Instructions burned: 19 (million)
% 0.21/0.55 % (21706)------------------------------
% 0.21/0.55 % (21706)------------------------------
% 0.21/0.55 % (21707)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.55 % (21702)Instruction limit reached!
% 0.21/0.55 % (21702)------------------------------
% 0.21/0.55 % (21702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (21702)Termination reason: Unknown
% 0.21/0.55 % (21702)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (21702)Memory used [KB]: 5756
% 0.21/0.55 % (21702)Time elapsed: 0.016 s
% 0.21/0.55 % (21702)Instructions burned: 28 (million)
% 0.21/0.55 % (21702)------------------------------
% 0.21/0.55 % (21702)------------------------------
% 0.21/0.56 % (21710)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 (2998ds/3Mi)
% 0.21/0.56 % (21707)Instruction limit reached!
% 0.21/0.56 % (21707)------------------------------
% 0.21/0.56 % (21707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.56 % (21707)Termination reason: Unknown
% 0.21/0.56 % (21707)Termination phase: shuffling
% 0.21/0.56
% 0.21/0.56 % (21707)Memory used [KB]: 1023
% 0.21/0.56 % (21707)Time elapsed: 0.004 s
% 0.21/0.56 % (21707)Instructions burned: 4 (million)
% 0.21/0.56 % (21707)------------------------------
% 0.21/0.56 % (21707)------------------------------
% 0.21/0.56 % (21708)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 (2998ds/37Mi)
% 0.21/0.56 % (21709)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 (2998ds/15Mi)
% 0.21/0.56 % (21710)Instruction limit reached!
% 0.21/0.56 % (21710)------------------------------
% 0.21/0.56 % (21710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.56 % (21710)Termination reason: Unknown
% 0.21/0.56 % (21710)Termination phase: shuffling
% 0.21/0.56
% 0.21/0.56 % (21710)Memory used [KB]: 1023
% 0.21/0.56 % (21710)Time elapsed: 0.003 s
% 0.21/0.56 % (21710)Instructions burned: 3 (million)
% 0.21/0.56 % (21710)------------------------------
% 0.21/0.56 % (21710)------------------------------
% 0.21/0.56 % (21711)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 (2998ds/1041Mi)
% 0.56/0.56 % (21709)Instruction limit reached!
% 0.56/0.56 % (21709)------------------------------
% 0.56/0.56 % (21709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.56/0.56 % (21709)Termination reason: Unknown
% 0.56/0.56 % (21709)Termination phase: Function definition elimination
% 0.56/0.56
% 0.56/0.56 % (21709)Memory used [KB]: 1151
% 0.56/0.56 % (21709)Time elapsed: 0.009 s
% 0.56/0.56 % (21709)Instructions burned: 15 (million)
% 0.56/0.56 % (21709)------------------------------
% 0.56/0.56 % (21709)------------------------------
% 0.56/0.57 % (21712)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 0.56/0.57 % (21712)Instruction limit reached!
% 0.56/0.57 % (21712)------------------------------
% 0.56/0.57 % (21712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.56/0.57 % (21712)Termination reason: Unknown
% 0.56/0.57 % (21712)Termination phase: Property scanning
% 0.56/0.57
% 0.56/0.57 % (21712)Memory used [KB]: 1151
% 0.56/0.57 % (21712)Time elapsed: 0.006 s
% 0.56/0.57 % (21712)Instructions burned: 7 (million)
% 0.56/0.57 % (21712)------------------------------
% 0.56/0.57 % (21712)------------------------------
% 0.56/0.57 % (21713)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2997ds/16Mi)
% 0.56/0.57 % (21714)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 (2997ds/3Mi)
% 0.56/0.57 % (21714)Instruction limit reached!
% 0.56/0.57 % (21714)------------------------------
% 0.56/0.57 % (21714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.56/0.57 % (21714)Termination reason: Unknown
% 0.56/0.57 % (21714)Termination phase: shuffling
% 0.56/0.57
% 0.56/0.57 % (21714)Memory used [KB]: 1023
% 0.56/0.57 % (21714)Time elapsed: 0.003 s
% 0.56/0.57 % (21714)Instructions burned: 3 (million)
% 0.56/0.57 % (21714)------------------------------
% 0.56/0.57 % (21714)------------------------------
% 0.56/0.57 % (21700)First to succeed.
% 0.56/0.57 % (21708)Instruction limit reached!
% 0.56/0.57 % (21708)------------------------------
% 0.56/0.57 % (21708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.56/0.57 % (21708)Termination reason: Unknown
% 0.56/0.57 % (21708)Termination phase: Saturation
% 0.56/0.57
% 0.56/0.57 % (21708)Memory used [KB]: 5884
% 0.56/0.57 % (21708)Time elapsed: 0.020 s
% 0.56/0.57 % (21708)Instructions burned: 38 (million)
% 0.56/0.57 % (21708)------------------------------
% 0.56/0.57 % (21708)------------------------------
% 0.67/0.58 % (21713)Instruction limit reached!
% 0.67/0.58 % (21713)------------------------------
% 0.67/0.58 % (21713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.67/0.58 % (21700)Refutation found. Thanks to Tanya!
% 0.67/0.58 % SZS status Theorem for theBenchmark
% 0.67/0.58 % SZS output start Proof for theBenchmark
% 0.67/0.58 thf(type_def_5, type, mu: $tType).
% 0.67/0.58 thf(func_def_0, type, mu: $tType).
% 0.67/0.58 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.67/0.58 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_15, type, mtrue: $i > $o).
% 0.67/0.58 thf(func_def_16, type, mfalse: $i > $o).
% 0.67/0.58 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.67/0.58 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.67/0.58 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.67/0.58 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.67/0.58 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.67/0.58 thf(func_def_33, type, a1: $i > $i > $o).
% 0.67/0.58 thf(func_def_34, type, a2: $i > $i > $o).
% 0.67/0.58 thf(func_def_35, type, a3: $i > $i > $o).
% 0.67/0.58 thf(func_def_36, type, jan: mu).
% 0.67/0.58 thf(func_def_37, type, piotr: mu).
% 0.67/0.58 thf(func_def_38, type, cola: mu).
% 0.67/0.58 thf(func_def_39, type, pepsi: mu).
% 0.67/0.58 thf(func_def_40, type, beer: mu).
% 0.67/0.58 thf(func_def_41, type, likes: mu > mu > $i > $o).
% 0.67/0.58 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 0.67/0.58 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 0.67/0.58 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.67/0.58 thf(func_def_62, type, sK1: $i > $i).
% 0.67/0.58 thf(func_def_63, type, sK2: $i > $i).
% 0.67/0.58 thf(func_def_64, type, sK3: $i > $i).
% 0.67/0.58 thf(func_def_66, type, sK5: mu > mu > $i > $i).
% 0.67/0.58 thf(func_def_67, type, sK6: mu > mu > $i > $i).
% 0.67/0.58 thf(func_def_68, type, sK7: mu > mu > $i > $i).
% 0.67/0.58 thf(func_def_69, type, sK8: $i > $i).
% 0.67/0.58 thf(func_def_70, type, sK9: $i > $i).
% 0.67/0.58 thf(func_def_71, type, sK10: mu > $i > mu > $i).
% 0.67/0.58 thf(f750,plain,(
% 0.67/0.58 $false),
% 0.67/0.58 inference(trivial_inequality_removal,[],[f747])).
% 0.67/0.58 thf(f747,plain,(
% 0.67/0.58 ($true = $false)),
% 0.67/0.58 inference(superposition,[],[f432,f736])).
% 0.67/0.58 thf(f736,plain,(
% 0.67/0.58 ( ! [X0 : $i] : (((a3 @ sK4 @ X0) = $false)) )),
% 0.67/0.58 inference(trivial_inequality_removal,[],[f729])).
% 0.67/0.58 thf(f729,plain,(
% 0.67/0.58 ( ! [X0 : $i] : (((a3 @ sK4 @ X0) = $false) | ($true = $false)) )),
% 0.67/0.58 inference(superposition,[],[f726,f428])).
% 0.67/0.58 thf(f428,plain,(
% 0.67/0.58 ( ! [X2 : $i,X1 : $i] : (($true = (a3 @ X2 @ X1)) | ($false = (a3 @ X1 @ X2))) )),
% 0.67/0.58 inference(binary_proxy_clausification,[],[f427])).
% 0.67/0.58 thf(f427,plain,(
% 0.67/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((a3 @ X1 @ X2) => (a3 @ X2 @ X1)))) )),
% 0.67/0.58 inference(beta_eta_normalization,[],[f426])).
% 0.67/0.58 thf(f426,plain,(
% 0.67/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((a3 @ X1 @ Y0) => (a3 @ Y0 @ X1))) @ X2))) )),
% 0.67/0.58 inference(pi_clausification,[],[f425])).
% 0.67/0.58 thf(f425,plain,(
% 0.67/0.58 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((a3 @ X1 @ Y0) => (a3 @ Y0 @ X1)))))) )),
% 0.67/0.58 inference(beta_eta_normalization,[],[f424])).
% 0.67/0.58 thf(f424,plain,(
% 0.67/0.58 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a3 @ Y0 @ Y1) => (a3 @ Y1 @ Y0))))) @ X1))) )),
% 0.67/0.58 inference(pi_clausification,[],[f423])).
% 0.67/0.58 thf(f423,plain,(
% 0.67/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a3 @ Y0 @ Y1) => (a3 @ Y1 @ Y0)))))))),
% 0.67/0.58 inference(beta_eta_normalization,[],[f327])).
% 0.67/0.58 thf(f327,plain,(
% 0.67/0.58 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))) @ a3))),
% 0.67/0.58 inference(definition_unfolding,[],[f267,f283])).
% 0.67/0.58 thf(f283,plain,(
% 0.67/0.58 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))))),
% 0.67/0.58 inference(cnf_transformation,[],[f201])).
% 0.67/0.58 thf(f201,plain,(
% 0.67/0.58 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))))),
% 0.67/0.58 inference(fool_elimination,[],[f200])).
% 0.67/0.58 thf(f200,plain,(
% 0.67/0.58 (msymmetric = (^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X2 @ X1) => (X0 @ X1 @ X2)))))),
% 0.67/0.58 inference(rectify,[],[f19])).
% 0.67/0.58 thf(f19,axiom,(
% 0.67/0.58 (msymmetric = (^[X6 : $i > $i > $o] : (! [X9,X8] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))))),
% 0.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric)).
% 0.67/0.58 thf(f267,plain,(
% 0.67/0.58 ((msymmetric @ a3) = $true)),
% 0.67/0.58 inference(cnf_transformation,[],[f185])).
% 0.67/0.58 thf(f185,plain,(
% 0.67/0.58 ((msymmetric @ a3) = $true)),
% 0.67/0.58 inference(fool_elimination,[],[f184])).
% 0.67/0.58 thf(f184,plain,(
% 0.67/0.58 (msymmetric @ a3)),
% 0.67/0.58 inference(rectify,[],[f52])).
% 0.67/0.58 thf(f52,axiom,(
% 0.67/0.58 (msymmetric @ a3)),
% 0.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_B_a3)).
% 0.67/0.58 thf(f726,plain,(
% 0.67/0.58 ( ! [X0 : $i] : (((a3 @ X0 @ sK4) = $false)) )),
% 0.67/0.58 inference(trivial_inequality_removal,[],[f724])).
% 0.67/0.58 thf(f724,plain,(
% 0.67/0.58 ( ! [X0 : $i] : (((a3 @ X0 @ sK4) = $false) | ($true = $false)) )),
% 0.67/0.58 inference(superposition,[],[f448,f455])).
% 0.67/0.58 thf(f455,plain,(
% 0.67/0.58 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ($false = (a3 @ X1 @ X2))) )),
% 0.67/0.58 inference(not_proxy_clausification,[],[f454])).
% 0.67/0.58 thf(f454,plain,(
% 0.67/0.58 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ($true = (~ (a3 @ X1 @ X2)))) )),
% 0.67/0.58 inference(binary_proxy_clausification,[],[f453])).
% 0.67/0.58 thf(f453,plain,(
% 0.67/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a3 @ X1 @ X2)) | (likes @ jan @ cola @ X2)))) )),
% 0.67/0.58 inference(beta_eta_normalization,[],[f452])).
% 0.67/0.58 thf(f452,plain,(
% 0.67/0.58 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (likes @ jan @ cola @ Y0))) @ X2))) )),
% 0.67/0.58 inference(pi_clausification,[],[f451])).
% 0.67/0.58 thf(f451,plain,(
% 0.67/0.58 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a3 @ X1 @ Y0)) | (likes @ jan @ cola @ Y0)))))) )),
% 0.67/0.58 inference(beta_eta_normalization,[],[f450])).
% 0.67/0.58 thf(f450,plain,(
% 0.67/0.58 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a3 @ Y0 @ Y1)) | (likes @ jan @ cola @ Y1))))) @ X1))) )),
% 0.67/0.58 inference(pi_clausification,[],[f449])).
% 0.67/0.58 thf(f449,plain,(
% 0.67/0.58 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a3 @ Y0 @ Y1)) | (likes @ jan @ cola @ Y1)))))) = $true)),
% 0.67/0.58 inference(beta_eta_normalization,[],[f339])).
% 0.67/0.58 thf(f339,plain,(
% 0.67/0.58 ($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))))))))) @ a3 @ (likes @ jan @ cola))))),
% 0.67/0.58 inference(definition_unfolding,[],[f287,f231,f288])).
% 0.67/0.58 thf(f288,plain,(
% 0.67/0.58 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.67/0.58 inference(cnf_transformation,[],[f199])).
% 0.67/0.58 thf(f199,plain,(
% 0.67/0.58 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.67/0.58 inference(fool_elimination,[],[f198])).
% 0.67/0.58 thf(f198,plain,(
% 0.67/0.58 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
% 0.67/0.58 inference(rectify,[],[f16])).
% 0.67/0.58 thf(f16,axiom,(
% 0.67/0.58 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))),
% 0.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.67/0.58 thf(f231,plain,(
% 0.67/0.58 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.67/0.58 inference(cnf_transformation,[],[f171])).
% 0.67/0.58 thf(f171,plain,(
% 0.67/0.58 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.67/0.58 inference(fool_elimination,[],[f170])).
% 0.67/0.58 thf(f170,plain,(
% 0.67/0.58 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.67/0.58 inference(rectify,[],[f28])).
% 0.67/0.58 thf(f28,axiom,(
% 0.67/0.58 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.67/0.58 thf(f287,plain,(
% 0.67/0.58 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)),
% 0.67/0.58 inference(cnf_transformation,[],[f211])).
% 0.67/0.58 thf(f211,plain,(
% 0.67/0.58 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)),
% 0.67/0.58 inference(fool_elimination,[],[f210])).
% 0.67/0.58 thf(f210,plain,(
% 0.67/0.58 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))),
% 0.67/0.58 inference(rectify,[],[f41])).
% 0.67/0.58 thf(f41,axiom,(
% 0.67/0.58 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))),
% 0.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_1)).
% 0.67/0.58 thf(f448,plain,(
% 0.67/0.58 ((likes @ jan @ cola @ sK4) = $false)),
% 0.67/0.58 inference(sigma_clausification,[],[f447])).
% 0.67/0.58 thf(f447,plain,(
% 0.67/0.58 ($true != (!! @ $i @ (likes @ jan @ cola)))),
% 0.67/0.58 inference(beta_eta_normalization,[],[f303])).
% 0.67/0.58 thf(f303,plain,(
% 0.67/0.58 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (likes @ jan @ cola)))),
% 0.67/0.58 inference(definition_unfolding,[],[f223,f231])).
% 0.67/0.58 thf(f223,plain,(
% 0.67/0.58 ((mvalid @ (likes @ jan @ cola)) != $true)),
% 0.67/0.58 inference(cnf_transformation,[],[f218])).
% 0.67/0.58 thf(f218,plain,(
% 0.67/0.58 ((mvalid @ (likes @ jan @ cola)) != $true)),
% 0.67/0.58 inference(flattening,[],[f105])).
% 0.67/0.58 thf(f105,plain,(
% 0.67/0.58 ~((mvalid @ (likes @ jan @ cola)) = $true)),
% 0.67/0.58 inference(fool_elimination,[],[f104])).
% 0.67/0.58 thf(f104,plain,(
% 0.67/0.58 ~(mvalid @ (likes @ jan @ cola))),
% 0.67/0.58 inference(rectify,[],[f74])).
% 0.67/0.58 thf(f74,negated_conjecture,(
% 0.67/0.58 ~(mvalid @ (likes @ jan @ cola))),
% 0.67/0.58 inference(negated_conjecture,[],[f73])).
% 0.67/0.58 thf(f73,conjecture,(
% 0.67/0.58 (mvalid @ (likes @ jan @ cola))),
% 0.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture)).
% 0.67/0.58 thf(f432,plain,(
% 0.67/0.58 ( ! [X1 : $i] : (($true = (a3 @ X1 @ (sK3 @ X1)))) )),
% 0.67/0.58 inference(sigma_clausification,[],[f431])).
% 0.67/0.58 thf(f431,plain,(
% 0.67/0.58 ( ! [X1 : $i] : (($true = (?? @ $i @ (a3 @ X1)))) )),
% 0.67/0.58 inference(beta_eta_normalization,[],[f430])).
% 0.67/0.58 thf(f430,plain,(
% 0.67/0.58 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (?? @ $i @ (a3 @ Y0))) @ X1))) )),
% 0.67/0.58 inference(pi_clausification,[],[f429])).
% 0.67/0.58 thf(f429,plain,(
% 0.67/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (a3 @ Y0)))))),
% 0.67/0.58 inference(beta_eta_normalization,[],[f321])).
% 0.67/0.58 thf(f321,plain,(
% 0.67/0.58 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ a3))),
% 0.67/0.58 inference(definition_unfolding,[],[f257,f241])).
% 0.67/0.58 thf(f241,plain,(
% 0.67/0.58 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.67/0.58 inference(cnf_transformation,[],[f167])).
% 0.67/0.58 thf(f167,plain,(
% 0.67/0.58 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.67/0.58 inference(fool_elimination,[],[f166])).
% 0.67/0.58 thf(f166,plain,(
% 0.67/0.58 (mserial = (^[X0 : $i > $i > $o] : (! [X1] : ? [X2] : (X0 @ X1 @ X2))))),
% 0.67/0.58 inference(rectify,[],[f20])).
% 0.67/0.58 thf(f20,axiom,(
% 0.67/0.58 (mserial = (^[X6 : $i > $i > $o] : (! [X8] : ? [X9] : (X6 @ X8 @ X9))))),
% 0.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mserial)).
% 0.67/0.58 thf(f257,plain,(
% 0.67/0.58 ((mserial @ a3) = $true)),
% 0.67/0.58 inference(cnf_transformation,[],[f113])).
% 0.67/0.58 thf(f113,plain,(
% 0.67/0.58 ((mserial @ a3) = $true)),
% 0.67/0.58 inference(fool_elimination,[],[f112])).
% 0.67/0.58 thf(f112,plain,(
% 0.67/0.58 (mserial @ a3)),
% 0.67/0.58 inference(rectify,[],[f55])).
% 0.67/0.58 thf(f55,axiom,(
% 0.67/0.58 (mserial @ a3)),
% 0.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_D_a3)).
% 0.67/0.58 % SZS output end Proof for theBenchmark
% 0.67/0.58 % (21700)------------------------------
% 0.67/0.58 % (21700)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.67/0.58 % (21700)Termination reason: Refutation
% 0.67/0.58
% 0.67/0.58 % (21700)Memory used [KB]: 6140
% 0.67/0.58 % (21700)Time elapsed: 0.036 s
% 0.67/0.58 % (21700)Instructions burned: 64 (million)
% 0.67/0.58 % (21700)------------------------------
% 0.67/0.58 % (21700)------------------------------
% 0.67/0.58 % (21566)Success in time 0.223 s
% 0.67/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------