TSTP Solution File: ITP124^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP124^2 : TPTP v8.2.0. Released v7.5.0.
% 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 : n024.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 22:33:49 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
% 0.08/0.14  % Problem    : ITP124^2 : TPTP v8.2.0. Released v7.5.0.
% 0.08/0.15  % 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
% 0.16/0.36  % Computer : n024.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 16:17:08 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a TH1_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/sandbox2/benchmark/theBenchmark.p
% 0.16/0.40  % (29074)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)
% 0.16/0.40  % (29075)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.40  % (29076)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)
% 0.16/0.40  % (29077)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)
% 0.16/0.40  % (29078)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.40  % (29075)Instruction limit reached!
% 0.16/0.40  % (29075)------------------------------
% 0.16/0.40  % (29075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (29075)Termination reason: Unknown
% 0.16/0.40  % (29076)Instruction limit reached!
% 0.16/0.40  % (29076)------------------------------
% 0.16/0.40  % (29076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (29075)Termination phase: shuffling
% 0.16/0.40  
% 0.16/0.40  % (29075)Memory used [KB]: 1279
% 0.16/0.40  % (29075)Time elapsed: 0.003 s
% 0.16/0.40  % (29075)Instructions burned: 2 (million)
% 0.16/0.40  % (29075)------------------------------
% 0.16/0.40  % (29075)------------------------------
% 0.16/0.40  % (29076)Termination reason: Unknown
% 0.16/0.40  % (29076)Termination phase: shuffling
% 0.16/0.40  
% 0.16/0.40  % (29076)Memory used [KB]: 1279
% 0.16/0.40  % (29076)Time elapsed: 0.003 s
% 0.16/0.40  % (29076)Instructions burned: 2 (million)
% 0.16/0.40  % (29076)------------------------------
% 0.16/0.40  % (29076)------------------------------
% 0.16/0.40  % (29079)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)
% 0.16/0.40  % (29079)Instruction limit reached!
% 0.16/0.40  % (29079)------------------------------
% 0.16/0.40  % (29079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (29079)Termination reason: Unknown
% 0.16/0.40  % (29079)Termination phase: shuffling
% 0.16/0.40  
% 0.16/0.40  % (29079)Memory used [KB]: 1279
% 0.16/0.40  % (29079)Time elapsed: 0.004 s
% 0.16/0.40  % (29079)Instructions burned: 3 (million)
% 0.16/0.40  % (29079)------------------------------
% 0.16/0.40  % (29079)------------------------------
% 0.16/0.40  % (29072)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.41  % (29073)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)
% 0.16/0.41  % (29073)Instruction limit reached!
% 0.16/0.41  % (29073)------------------------------
% 0.16/0.41  % (29073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (29073)Termination reason: Unknown
% 0.16/0.41  % (29073)Termination phase: shuffling
% 0.16/0.41  
% 0.16/0.41  % (29073)Memory used [KB]: 1279
% 0.16/0.41  % (29073)Time elapsed: 0.004 s
% 0.16/0.41  % (29073)Instructions burned: 4 (million)
% 0.16/0.41  % (29073)------------------------------
% 0.16/0.41  % (29073)------------------------------
% 0.16/0.41  % (29078)Instruction limit reached!
% 0.16/0.41  % (29078)------------------------------
% 0.16/0.41  % (29078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41  % (29078)Termination reason: Unknown
% 0.16/0.41  % (29078)Termination phase: Property scanning
% 0.16/0.41  
% 0.16/0.41  % (29078)Memory used [KB]: 1535
% 0.16/0.41  % (29078)Time elapsed: 0.014 s
% 0.16/0.41  % (29078)Instructions burned: 19 (million)
% 0.16/0.41  % (29078)------------------------------
% 0.16/0.41  % (29078)------------------------------
% 0.16/0.41  % (29081)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)
% 0.16/0.42  % (29074)Instruction limit reached!
% 0.16/0.42  % (29074)------------------------------
% 0.16/0.42  % (29074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42  % (29074)Termination reason: Unknown
% 0.16/0.42  % (29074)Termination phase: shuffling
% 0.16/0.42  
% 0.16/0.42  % (29074)Memory used [KB]: 1535
% 0.16/0.42  % (29074)Time elapsed: 0.018 s
% 0.16/0.42  % (29074)Instructions burned: 27 (million)
% 0.16/0.42  % (29074)------------------------------
% 0.16/0.42  % (29074)------------------------------
% 0.16/0.42  % (29082)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)
% 0.16/0.42  % (29082)Instruction limit reached!
% 0.16/0.42  % (29082)------------------------------
% 0.16/0.42  % (29082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42  % (29082)Termination reason: Unknown
% 0.16/0.42  % (29082)Termination phase: shuffling
% 0.16/0.42  
% 0.16/0.42  % (29082)Memory used [KB]: 1279
% 0.16/0.42  % (29082)Time elapsed: 0.004 s
% 0.16/0.42  % (29082)Instructions burned: 3 (million)
% 0.16/0.42  % (29082)------------------------------
% 0.16/0.42  % (29082)------------------------------
% 0.22/0.42  % (29083)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)
% 0.22/0.43  % (29084)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43  % (29080)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)
% 0.22/0.43  % (29077)First to succeed.
% 0.22/0.43  % (29085)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43  % (29084)Instruction limit reached!
% 0.22/0.43  % (29084)------------------------------
% 0.22/0.43  % (29084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (29084)Termination reason: Unknown
% 0.22/0.43  % (29084)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (29084)Memory used [KB]: 1407
% 0.22/0.43  % (29084)Time elapsed: 0.006 s
% 0.22/0.43  % (29084)Instructions burned: 7 (million)
% 0.22/0.43  % (29084)------------------------------
% 0.22/0.43  % (29084)------------------------------
% 0.22/0.43  % (29077)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_6, type, set: ($tType) > $tType).
% 0.22/0.43  thf(type_def_7, type, a: $tType).
% 0.22/0.43  thf(func_def_0, type, set: ($tType) > $tType).
% 0.22/0.43  thf(func_def_1, type, a: $tType).
% 0.22/0.43  thf(func_def_2, type, type: !>[X0: $tType]:($o)).
% 0.22/0.43  thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 0.22/0.43  thf(func_def_4, type, finite_finite: !>[X0: $tType]:($o)).
% 0.22/0.43  thf(func_def_5, type, linorder: !>[X0: $tType]:($o)).
% 0.22/0.43  thf(func_def_6, type, condit2040224947_above: !>[X0: $tType]:((X0 > X0 > $o) > set @ X0 > $o)).
% 0.22/0.43  thf(func_def_7, type, condit1201339847_below: !>[X0: $tType]:((X0 > X0 > $o) > set @ X0 > $o)).
% 0.22/0.43  thf(func_def_8, type, finite_comp_fun_idem: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > $o)).
% 0.22/0.43  thf(func_def_9, type, finite_finite2: !>[X0: $tType]:(set @ X0 > $o)).
% 0.22/0.43  thf(func_def_10, type, abel_semigroup: !>[X0: $tType]:((X0 > X0 > X0) > $o)).
% 0.22/0.43  thf(func_def_11, type, semigroup: !>[X0: $tType]:((X0 > X0 > X0) > $o)).
% 0.22/0.43  thf(func_def_12, type, semilattice: !>[X0: $tType]:((X0 > X0 > X0) > $o)).
% 0.22/0.43  thf(func_def_13, type, lattic1263571978nf_fin: !>[X0: $tType]:((X0 > X0 > X0) > set @ X0 > X0)).
% 0.22/0.43  thf(func_def_14, type, lattic35693393ce_set: !>[X0: $tType]:((X0 > X0 > X0) > $o)).
% 0.22/0.43  thf(func_def_15, type, lattic1039401930up_fin: !>[X0: $tType]:((X0 > X0 > X0) > set @ X0 > X0)).
% 0.22/0.43  thf(func_def_16, type, modula1221160330_d_aux: !>[X0: $tType]:((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0)).
% 0.22/0.43  thf(func_def_17, type, modula1593167561_e_aux: !>[X0: $tType]:((X0 > X0 > X0) > (X0 > X0 > X0) > X0 > X0 > X0 > X0)).
% 0.22/0.43  thf(func_def_18, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.22/0.43  thf(func_def_19, type, least: !>[X0: $tType]:((X0 > X0 > $o) > (X0 > $o) > X0)).
% 0.22/0.43  thf(func_def_20, type, max: !>[X0: $tType]:((X0 > X0 > $o) > X0 > X0 > X0)).
% 0.22/0.43  thf(func_def_21, type, min: !>[X0: $tType]:((X0 > X0 > $o) > X0 > X0 > X0)).
% 0.22/0.43  thf(func_def_22, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.43  thf(func_def_23, type, greatest: !>[X0: $tType]:((X0 > X0 > $o) > (X0 > $o) > X0)).
% 0.22/0.43  thf(func_def_24, type, antimono: !>[X0: $tType, X1: $tType]:((X0 > X0 > $o) > (X0 > X1) > $o)).
% 0.22/0.43  thf(func_def_25, type, mono: !>[X0: $tType, X1: $tType]:((X0 > X0 > $o) > (X0 > X1) > $o)).
% 0.22/0.43  thf(func_def_26, type, transp: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 0.22/0.43  thf(func_def_27, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.22/0.43  thf(func_def_28, type, insert: !>[X0: $tType]:(X0 > set @ X0 > set @ X0)).
% 0.22/0.43  thf(func_def_29, type, set_atLeast: !>[X0: $tType]:((X0 > X0 > $o) > X0 > set @ X0)).
% 0.22/0.43  thf(func_def_30, type, set_atLeastAtMost: !>[X0: $tType]:((X0 > X0 > $o) > X0 > X0 > set @ X0)).
% 0.22/0.43  thf(func_def_31, type, set_atMost: !>[X0: $tType]:((X0 > X0 > $o) > X0 > set @ X0)).
% 0.22/0.43  thf(func_def_32, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.22/0.43  thf(func_def_33, type, a2: a).
% 0.22/0.43  thf(func_def_34, type, b: a).
% 0.22/0.43  thf(func_def_35, type, c: a).
% 0.22/0.43  thf(func_def_36, type, inf: a > a > a).
% 0.22/0.43  thf(func_def_37, type, less_eq: a > a > $o).
% 0.22/0.43  thf(func_def_38, type, sup: a > a > a).
% 0.22/0.43  thf(func_def_51, type, sK0: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.22/0.43  thf(func_def_52, type, sK1: a).
% 0.22/0.43  thf(func_def_53, type, sK2: a).
% 0.22/0.43  thf(func_def_54, type, sK3: a).
% 0.22/0.43  thf(func_def_55, type, sK4: a).
% 0.22/0.43  thf(func_def_56, type, sK5: a).
% 0.22/0.43  thf(func_def_57, type, sK6: a).
% 0.22/0.43  thf(func_def_58, type, sK7: (a > a > a) > a).
% 0.22/0.43  thf(func_def_59, type, sK8: (a > a > a) > a).
% 0.22/0.43  thf(func_def_60, type, sK9: (a > a > a) > a).
% 0.22/0.43  thf(func_def_61, type, sK10: (a > a > a) > a).
% 0.22/0.43  thf(func_def_62, type, sK11: (a > a > a) > a).
% 0.22/0.43  thf(func_def_63, type, sK12: (a > a > a) > a).
% 0.22/0.43  thf(func_def_64, type, sK13: (a > a > a) > a).
% 0.22/0.43  thf(func_def_65, type, sK14: (a > a > a) > a).
% 0.22/0.43  thf(func_def_66, type, sK15: (a > a > a) > a).
% 0.22/0.43  thf(func_def_67, type, sK16: (a > a > a) > a).
% 0.22/0.43  thf(func_def_68, type, sK17: (a > a > a) > a).
% 0.22/0.43  thf(func_def_69, type, sK18: (a > a > a) > a).
% 0.22/0.43  thf(func_def_70, type, sK19: (a > a > a) > a).
% 0.22/0.43  thf(func_def_71, type, sK20: (a > a > a) > a).
% 0.22/0.43  thf(func_def_73, type, ph22: !>[X0: $tType]:(X0)).
% 0.22/0.43  thf(f961,plain,(
% 0.22/0.43    $false),
% 0.22/0.43    inference(subsumption_resolution,[],[f960,f902])).
% 0.22/0.43  thf(f902,plain,(
% 0.22/0.43    ( ! [X0 : a,X1 : a] : (((inf @ X0 @ X1) = (inf @ X1 @ X0))) )),
% 0.22/0.43    inference(cnf_transformation,[],[f707])).
% 0.22/0.43  thf(f707,plain,(
% 0.22/0.43    ! [X0 : a,X1 : a] : ((inf @ X0 @ X1) = (inf @ X1 @ X0))),
% 0.22/0.43    inference(rectify,[],[f5])).
% 0.22/0.43  thf(f5,axiom,(
% 0.22/0.43    ! [X5 : a,X6 : a] : ((inf @ X5 @ X6) = (inf @ X6 @ X5))),
% 0.22/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_local_Oinf__commute)).
% 0.22/0.43  thf(f960,plain,(
% 0.22/0.43    ((inf @ (sup @ a2 @ b) @ (inf @ (sup @ a2 @ c) @ (sup @ b @ c))) != (inf @ (inf @ (sup @ a2 @ c) @ (sup @ b @ c)) @ (sup @ a2 @ b)))),
% 0.22/0.43    inference(forward_demodulation,[],[f959,f902])).
% 0.22/0.43  thf(f959,plain,(
% 0.22/0.43    ((inf @ (inf @ (sup @ b @ c) @ (sup @ a2 @ c)) @ (sup @ a2 @ b)) != (inf @ (sup @ a2 @ b) @ (inf @ (sup @ a2 @ c) @ (sup @ b @ c))))),
% 0.22/0.43    inference(forward_demodulation,[],[f958,f850])).
% 0.22/0.43  thf(f850,plain,(
% 0.22/0.43    ( ! [X0 : a,X1 : a] : (((sup @ X0 @ X1) = (sup @ X1 @ X0))) )),
% 0.22/0.43    inference(cnf_transformation,[],[f718])).
% 0.22/0.43  thf(f718,plain,(
% 0.22/0.43    ! [X0 : a,X1 : a] : ((sup @ X0 @ X1) = (sup @ X1 @ X0))),
% 0.22/0.43    inference(rectify,[],[f11])).
% 0.22/0.43  thf(f11,axiom,(
% 0.22/0.43    ! [X5 : a,X6 : a] : ((sup @ X5 @ X6) = (sup @ X6 @ X5))),
% 0.22/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_local_Osup__commute)).
% 0.22/0.43  thf(f958,plain,(
% 0.22/0.43    ((inf @ (inf @ (sup @ b @ c) @ (sup @ c @ a2)) @ (sup @ a2 @ b)) != (inf @ (sup @ a2 @ b) @ (inf @ (sup @ a2 @ c) @ (sup @ b @ c))))),
% 0.22/0.43    inference(superposition,[],[f957,f826])).
% 0.22/0.43  thf(f826,plain,(
% 0.22/0.43    ( ! [X2 : a,X0 : a,X1 : a] : (((modula1593167561_e_aux @ a @ inf @ sup @ X0 @ X1 @ X2) = (inf @ (inf @ (sup @ X0 @ X1) @ (sup @ X1 @ X2)) @ (sup @ X2 @ X0)))) )),
% 0.22/0.43    inference(cnf_transformation,[],[f690])).
% 0.22/0.43  thf(f690,plain,(
% 0.22/0.43    ! [X0 : a,X1 : a,X2 : a] : ((modula1593167561_e_aux @ a @ inf @ sup @ X0 @ X1 @ X2) = (inf @ (inf @ (sup @ X0 @ X1) @ (sup @ X1 @ X2)) @ (sup @ X2 @ X0)))),
% 0.22/0.43    inference(rectify,[],[f15])).
% 0.22/0.43  thf(f15,axiom,(
% 0.22/0.43    ! [X2 : a,X3 : a,X4 : a] : ((modula1593167561_e_aux @ a @ inf @ sup @ X2 @ X3 @ X4) = (inf @ (inf @ (sup @ X2 @ X3) @ (sup @ X3 @ X4)) @ (sup @ X4 @ X2)))),
% 0.22/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_e__aux__def)).
% 0.22/0.43  thf(f957,plain,(
% 0.22/0.43    ((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2) != (inf @ (sup @ a2 @ b) @ (inf @ (sup @ a2 @ c) @ (sup @ b @ c))))),
% 0.22/0.43    inference(forward_demodulation,[],[f956,f902])).
% 0.22/0.43  thf(f956,plain,(
% 0.22/0.43    ((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2) != (inf @ (sup @ a2 @ b) @ (inf @ (sup @ b @ c) @ (sup @ a2 @ c))))),
% 0.22/0.43    inference(forward_demodulation,[],[f955,f850])).
% 0.22/0.43  thf(f955,plain,(
% 0.22/0.43    ((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2) != (inf @ (sup @ a2 @ b) @ (inf @ (sup @ b @ c) @ (sup @ c @ a2))))),
% 0.22/0.43    inference(forward_demodulation,[],[f954,f902])).
% 0.22/0.43  thf(f954,plain,(
% 0.22/0.43    ((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2) != (inf @ (sup @ a2 @ b) @ (inf @ (sup @ c @ a2) @ (sup @ b @ c))))),
% 0.22/0.43    inference(forward_demodulation,[],[f953,f823])).
% 0.22/0.43  thf(f823,plain,(
% 0.22/0.43    ( ! [X2 : a,X0 : a,X1 : a] : (((inf @ X0 @ (inf @ X1 @ X2)) = (inf @ X1 @ (inf @ X0 @ X2)))) )),
% 0.22/0.43    inference(cnf_transformation,[],[f691])).
% 0.22/0.43  thf(f691,plain,(
% 0.22/0.43    ! [X0 : a,X1 : a,X2 : a] : ((inf @ X0 @ (inf @ X1 @ X2)) = (inf @ X1 @ (inf @ X0 @ X2)))),
% 0.22/0.43    inference(rectify,[],[f6])).
% 0.22/0.43  thf(f6,axiom,(
% 0.22/0.43    ! [X5 : a,X6 : a,X7 : a] : ((inf @ X5 @ (inf @ X6 @ X7)) = (inf @ X6 @ (inf @ X5 @ X7)))),
% 0.22/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_local_Oinf__left__commute)).
% 0.22/0.43  thf(f953,plain,(
% 0.22/0.43    ((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2) != (inf @ (sup @ c @ a2) @ (inf @ (sup @ a2 @ b) @ (sup @ b @ c))))),
% 0.22/0.43    inference(forward_demodulation,[],[f952,f902])).
% 0.22/0.43  thf(f952,plain,(
% 0.22/0.43    ((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2) != (inf @ (inf @ (sup @ a2 @ b) @ (sup @ b @ c)) @ (sup @ c @ a2)))),
% 0.22/0.43    inference(forward_demodulation,[],[f895,f826])).
% 0.22/0.43  thf(f895,plain,(
% 0.22/0.43    ((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2) != (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c))),
% 0.22/0.43    inference(cnf_transformation,[],[f689])).
% 0.22/0.43  thf(f689,plain,(
% 0.22/0.43    ((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2) != (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c))),
% 0.22/0.43    inference(flattening,[],[f265])).
% 0.22/0.43  thf(f265,negated_conjecture,(
% 0.22/0.43    ~((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2) = (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c))),
% 0.22/0.43    inference(negated_conjecture,[],[f264])).
% 0.22/0.43  thf(f264,conjecture,(
% 0.22/0.43    ((modula1593167561_e_aux @ a @ inf @ sup @ b @ c @ a2) = (modula1593167561_e_aux @ a @ inf @ sup @ a2 @ b @ c))),
% 0.22/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.22/0.43  % SZS output end Proof for theBenchmark
% 0.22/0.43  % (29077)------------------------------
% 0.22/0.43  % (29077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (29077)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (29077)Memory used [KB]: 6268
% 0.22/0.43  % (29077)Time elapsed: 0.033 s
% 0.22/0.43  % (29077)Instructions burned: 50 (million)
% 0.22/0.43  % (29077)------------------------------
% 0.22/0.43  % (29077)------------------------------
% 0.22/0.43  % (29071)Success in time 0.067 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------