TSTP Solution File: ITP128^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP128^2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 22:33:51 EDT 2024

% Result   : Theorem 0.22s 0.48s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ITP128^2 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n027.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 18:30:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH1_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/sandbox/benchmark/theBenchmark.p
% 0.22/0.42  % (9617)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.43  % (9611)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)
% 0.22/0.43  % (9610)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.43  % (9613)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.43  % (9612)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)
% 0.22/0.43  % (9614)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)
% 0.22/0.43  % (9615)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)
% 0.22/0.43  % (9618)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)
% 0.22/0.43  % (9613)Instruction limit reached!
% 0.22/0.43  % (9613)------------------------------
% 0.22/0.43  % (9613)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (9613)Termination reason: Unknown
% 0.22/0.43  % (9613)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (9614)Instruction limit reached!
% 0.22/0.43  % (9614)------------------------------
% 0.22/0.43  % (9614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (9613)Memory used [KB]: 1407
% 0.22/0.43  % (9613)Time elapsed: 0.004 s
% 0.22/0.43  % (9613)Instructions burned: 2 (million)
% 0.22/0.43  % (9613)------------------------------
% 0.22/0.43  % (9613)------------------------------
% 0.22/0.43  % (9614)Termination reason: Unknown
% 0.22/0.43  % (9614)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (9614)Memory used [KB]: 1407
% 0.22/0.43  % (9614)Time elapsed: 0.004 s
% 0.22/0.43  % (9614)Instructions burned: 2 (million)
% 0.22/0.43  % (9614)------------------------------
% 0.22/0.43  % (9614)------------------------------
% 0.22/0.43  % (9618)Instruction limit reached!
% 0.22/0.43  % (9618)------------------------------
% 0.22/0.43  % (9618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (9611)Instruction limit reached!
% 0.22/0.43  % (9611)------------------------------
% 0.22/0.43  % (9611)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (9611)Termination reason: Unknown
% 0.22/0.43  % (9611)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (9611)Memory used [KB]: 1535
% 0.22/0.43  % (9611)Time elapsed: 0.006 s
% 0.22/0.43  % (9611)Instructions burned: 4 (million)
% 0.22/0.43  % (9611)------------------------------
% 0.22/0.43  % (9611)------------------------------
% 0.22/0.43  % (9618)Termination reason: Unknown
% 0.22/0.43  % (9618)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (9618)Memory used [KB]: 1535
% 0.22/0.43  % (9618)Time elapsed: 0.005 s
% 0.22/0.43  % (9618)Instructions burned: 3 (million)
% 0.22/0.43  % (9618)------------------------------
% 0.22/0.43  % (9618)------------------------------
% 0.22/0.43  % (9617)Instruction limit reached!
% 0.22/0.43  % (9617)------------------------------
% 0.22/0.43  % (9617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43  % (9617)Termination reason: Unknown
% 0.22/0.43  % (9617)Termination phase: shuffling
% 0.22/0.43  
% 0.22/0.43  % (9617)Memory used [KB]: 1918
% 0.22/0.43  % (9617)Time elapsed: 0.012 s
% 0.22/0.43  % (9617)Instructions burned: 18 (million)
% 0.22/0.43  % (9617)------------------------------
% 0.22/0.43  % (9617)------------------------------
% 0.22/0.45  % (9623)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.45  % (9621)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)
% 0.22/0.45  % (9619)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)
% 0.22/0.45  % (9623)Instruction limit reached!
% 0.22/0.45  % (9623)------------------------------
% 0.22/0.45  % (9623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (9623)Termination reason: Unknown
% 0.22/0.45  % (9623)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (9623)Memory used [KB]: 1663
% 0.22/0.45  % (9623)Time elapsed: 0.006 s
% 0.22/0.45  % (9623)Instructions burned: 8 (million)
% 0.22/0.45  % (9623)------------------------------
% 0.22/0.45  % (9623)------------------------------
% 0.22/0.45  % (9621)Instruction limit reached!
% 0.22/0.45  % (9621)------------------------------
% 0.22/0.45  % (9621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (9621)Termination reason: Unknown
% 0.22/0.45  % (9621)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (9621)Memory used [KB]: 1535
% 0.22/0.45  % (9621)Time elapsed: 0.004 s
% 0.22/0.45  % (9621)Instructions burned: 4 (million)
% 0.22/0.45  % (9621)------------------------------
% 0.22/0.45  % (9621)------------------------------
% 0.22/0.45  % (9612)Instruction limit reached!
% 0.22/0.45  % (9612)------------------------------
% 0.22/0.45  % (9612)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45  % (9620)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)
% 0.22/0.45  % (9612)Termination reason: Unknown
% 0.22/0.45  % (9612)Termination phase: shuffling
% 0.22/0.45  
% 0.22/0.45  % (9612)Memory used [KB]: 2046
% 0.22/0.45  % (9612)Time elapsed: 0.028 s
% 0.22/0.45  % (9612)Instructions burned: 27 (million)
% 0.22/0.45  % (9612)------------------------------
% 0.22/0.45  % (9612)------------------------------
% 0.22/0.46  % (9622)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)
% 0.22/0.46  % (9620)Instruction limit reached!
% 0.22/0.46  % (9620)------------------------------
% 0.22/0.46  % (9620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46  % (9620)Termination reason: Unknown
% 0.22/0.46  % (9620)Termination phase: shuffling
% 0.22/0.46  
% 0.22/0.46  % (9620)Memory used [KB]: 1791
% 0.22/0.46  % (9620)Time elapsed: 0.010 s
% 0.22/0.46  % (9620)Instructions burned: 16 (million)
% 0.22/0.46  % (9620)------------------------------
% 0.22/0.46  % (9620)------------------------------
% 0.22/0.47  % (9624)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.47  % (9625)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)
% 0.22/0.47  % (9625)Instruction limit reached!
% 0.22/0.47  % (9625)------------------------------
% 0.22/0.47  % (9625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (9625)Termination reason: Unknown
% 0.22/0.47  % (9625)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (9625)Memory used [KB]: 1535
% 0.22/0.47  % (9625)Time elapsed: 0.004 s
% 0.22/0.47  % (9625)Instructions burned: 3 (million)
% 0.22/0.47  % (9625)------------------------------
% 0.22/0.47  % (9625)------------------------------
% 0.22/0.47  % (9626)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)
% 0.22/0.47  % (9619)Instruction limit reached!
% 0.22/0.47  % (9619)------------------------------
% 0.22/0.47  % (9619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (9619)Termination reason: Unknown
% 0.22/0.47  % (9619)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (9619)Memory used [KB]: 2174
% 0.22/0.47  % (9619)Time elapsed: 0.022 s
% 0.22/0.47  % (9619)Instructions burned: 38 (million)
% 0.22/0.47  % (9619)------------------------------
% 0.22/0.47  % (9619)------------------------------
% 0.22/0.47  % (9626)Instruction limit reached!
% 0.22/0.47  % (9626)------------------------------
% 0.22/0.47  % (9626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47  % (9626)Termination reason: Unknown
% 0.22/0.47  % (9626)Termination phase: shuffling
% 0.22/0.47  
% 0.22/0.47  % (9626)Memory used [KB]: 1535
% 0.22/0.47  % (9626)Time elapsed: 0.003 s
% 0.22/0.47  % (9626)Instructions burned: 3 (million)
% 0.22/0.47  % (9626)------------------------------
% 0.22/0.47  % (9626)------------------------------
% 0.22/0.48  % (9624)Instruction limit reached!
% 0.22/0.48  % (9624)------------------------------
% 0.22/0.48  % (9624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (9624)Termination reason: Unknown
% 0.22/0.48  % (9624)Termination phase: shuffling
% 0.22/0.48  
% 0.22/0.48  % (9624)Memory used [KB]: 1918
% 0.22/0.48  % (9624)Time elapsed: 0.011 s
% 0.22/0.48  % (9624)Instructions burned: 16 (million)
% 0.22/0.48  % (9624)------------------------------
% 0.22/0.48  % (9624)------------------------------
% 0.22/0.48  % (9627)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)
% 0.22/0.48  % (9615)First to succeed.
% 0.22/0.48  % (9627)Instruction limit reached!
% 0.22/0.48  % (9627)------------------------------
% 0.22/0.48  % (9627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (9627)Termination reason: Unknown
% 0.22/0.48  % (9627)Termination phase: shuffling
% 0.22/0.48  
% 0.22/0.48  % (9627)Memory used [KB]: 1663
% 0.22/0.48  % (9627)Time elapsed: 0.005 s
% 0.22/0.48  % (9627)Instructions burned: 7 (million)
% 0.22/0.48  % (9627)------------------------------
% 0.22/0.48  % (9627)------------------------------
% 0.22/0.48  % (9615)Refutation found. Thanks to Tanya!
% 0.22/0.48  % SZS status Theorem for theBenchmark
% 0.22/0.48  % SZS output start Proof for theBenchmark
% 0.22/0.48  thf(type_def_6, type, fset: ($tType) > $tType).
% 0.22/0.48  thf(type_def_7, type, set: ($tType) > $tType).
% 0.22/0.48  thf(type_def_8, type, multiset: ($tType) > $tType).
% 0.22/0.48  thf(type_def_9, type, a: $tType).
% 0.22/0.48  thf(type_def_10, type, b: $tType).
% 0.22/0.48  thf(type_def_11, type, c: $tType).
% 0.22/0.48  thf(type_def_12, type, d: $tType).
% 0.22/0.48  thf(func_def_0, type, multiset: ($tType) > $tType).
% 0.22/0.48  thf(func_def_1, type, fset: ($tType) > $tType).
% 0.22/0.48  thf(func_def_2, type, set: ($tType) > $tType).
% 0.22/0.48  thf(func_def_3, type, d: $tType).
% 0.22/0.48  thf(func_def_4, type, c: $tType).
% 0.22/0.48  thf(func_def_5, type, b: $tType).
% 0.22/0.48  thf(func_def_6, type, a: $tType).
% 0.22/0.48  thf(func_def_7, type, preorder: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_8, type, type: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_9, type, plus: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_10, type, order: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_11, type, group_add: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_12, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_13, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_14, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_15, type, comple1141879883l_ccpo: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_16, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_17, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_18, type, comple187826305attice: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_19, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_20, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 0.22/0.48  thf(func_def_21, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o)).
% 0.22/0.48  thf(func_def_22, type, comple939513234o_fixp: !>[X0: $tType]:((X0 > X0) > X0)).
% 0.22/0.48  thf(func_def_23, type, comple1396247847notone: !>[X0: $tType, X1: $tType]:((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > $o)).
% 0.22/0.48  thf(func_def_24, type, ffold: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > X1 > fset @ X0 > X1)).
% 0.22/0.48  thf(func_def_25, type, finite100568337ommute: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > $o)).
% 0.22/0.48  thf(func_def_26, type, finite_comp_fun_idem: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > $o)).
% 0.22/0.48  thf(func_def_27, type, finite852775215axioms: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > $o)).
% 0.22/0.48  thf(func_def_28, type, finite_fold_graph: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > X1 > set @ X0 > X1 > $o)).
% 0.22/0.48  thf(func_def_29, type, finite_folding: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > $o)).
% 0.22/0.48  thf(func_def_30, type, finite_folding_idem: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > $o)).
% 0.22/0.48  thf(func_def_31, type, finite1921348288axioms: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > $o)).
% 0.22/0.48  thf(func_def_32, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X2 > X0) > X2 > X1)).
% 0.22/0.48  thf(func_def_33, type, fun_upd: !>[X0: $tType, X1: $tType]:((X0 > X1) > X0 > X1 > X0 > X1)).
% 0.22/0.48  thf(func_def_34, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3)).
% 0.22/0.48  thf(func_def_35, type, plus_plus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.22/0.48  thf(func_def_36, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 0.22/0.48  thf(func_def_37, type, fold_mset: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > X1 > multiset @ X0 > X1)).
% 0.22/0.48  thf(func_def_38, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.48  thf(func_def_39, type, order_mono: !>[X0: $tType, X1: $tType]:((X0 > X1) > $o)).
% 0.22/0.48  thf(func_def_40, type, partial_fun_ord: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > $o) > (X2 > X0) > (X2 > X1) > $o)).
% 0.22/0.48  thf(func_def_41, type, bex1_rel: !>[X0: $tType]:((X0 > X0 > $o) > (X0 > $o) > $o)).
% 0.22/0.48  thf(func_def_42, type, quotient3: !>[X0: $tType, X1: $tType]:((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > $o)).
% 0.22/0.48  thf(func_def_43, type, domainp: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > X0 > $o)).
% 0.22/0.48  thf(func_def_44, type, reflp: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 0.22/0.48  thf(func_def_45, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o)).
% 0.22/0.48  thf(func_def_46, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.22/0.48  thf(func_def_47, type, bi_total: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > $o)).
% 0.22/0.48  thf(func_def_48, type, bi_unique: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > $o)).
% 0.22/0.48  thf(func_def_49, type, left_total: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > $o)).
% 0.22/0.48  thf(func_def_50, type, left_unique: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > $o)).
% 0.22/0.48  thf(func_def_51, type, rev_implies: $o > $o > $o).
% 0.22/0.48  thf(func_def_52, type, right_total: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > $o)).
% 0.22/0.48  thf(func_def_53, type, right_unique: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > $o)).
% 0.22/0.48  thf(func_def_54, type, transfer_bforall: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > $o)).
% 0.22/0.48  thf(func_def_55, type, transfer_forall: !>[X0: $tType]:((X0 > $o) > $o)).
% 0.22/0.48  thf(func_def_56, type, transitive_rtranclp: !>[X0: $tType]:((X0 > X0 > $o) > X0 > X0 > $o)).
% 0.22/0.48  thf(func_def_57, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.22/0.48  thf(func_def_58, type, a2: a > b > $o).
% 0.22/0.48  thf(func_def_59, type, b2: c > d > $o).
% 0.22/0.48  thf(func_def_60, type, f1: a > c > c).
% 0.22/0.48  thf(func_def_61, type, f2: b > d > d).
% 0.22/0.48  thf(func_def_78, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType]:(X2 > (X2 > X0) > (X1 > X0) > X1)).
% 0.22/0.48  thf(func_def_79, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > X0) > (X1 > X0) > X2 > X1)).
% 0.22/0.48  thf(func_def_80, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > X0) > (X1 > X0) > X2)).
% 0.22/0.48  thf(func_def_81, type, sK3: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.22/0.48  thf(func_def_82, type, sK4: !>[X0: $tType, X1: $tType]:((X1 > X0 > X0) > X1)).
% 0.22/0.48  thf(func_def_83, type, sK5: !>[X0: $tType, X1: $tType]:((X1 > X0 > X0) > X1)).
% 0.22/0.48  thf(func_def_84, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X0 > X2) > X2 > X1)).
% 0.22/0.48  thf(func_def_85, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X0 > X2) > X0)).
% 0.22/0.48  thf(func_def_86, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1) > (X0 > X2) > X0)).
% 0.22/0.48  thf(func_def_88, type, ph10: !>[X0: $tType]:(X0)).
% 0.22/0.48  thf(f904,plain,(
% 0.22/0.48    $false),
% 0.22/0.48    inference(subsumption_resolution,[],[f876,f881])).
% 0.22/0.48  thf(f881,plain,(
% 0.22/0.48    ((finite100568337ommute @ a @ c @ f1) = $true)),
% 0.22/0.48    inference(cnf_transformation,[],[f454])).
% 0.22/0.48  thf(f454,plain,(
% 0.22/0.48    ((finite100568337ommute @ a @ c @ f1) = $true)),
% 0.22/0.48    inference(fool_elimination,[],[f453])).
% 0.22/0.48  thf(f453,plain,(
% 0.22/0.48    (finite100568337ommute @ a @ c @ f1)),
% 0.22/0.48    inference(rectify,[],[f1])).
% 0.22/0.48  thf(f1,axiom,(
% 0.22/0.48    (finite100568337ommute @ a @ c @ f1)),
% 0.22/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I2_J)).
% 0.22/0.48  thf(f876,plain,(
% 0.22/0.48    ((finite100568337ommute @ a @ c @ f1) != $true)),
% 0.22/0.48    inference(cnf_transformation,[],[f797])).
% 0.22/0.48  thf(f797,plain,(
% 0.22/0.48    ((finite100568337ommute @ a @ c @ f1) != $true)),
% 0.22/0.48    inference(flattening,[],[f548])).
% 0.22/0.48  thf(f548,plain,(
% 0.22/0.48    ~((finite100568337ommute @ a @ c @ f1) = $true)),
% 0.22/0.48    inference(fool_elimination,[],[f547])).
% 0.22/0.48  thf(f547,plain,(
% 0.22/0.48    ~(finite100568337ommute @ a @ c @ f1)),
% 0.22/0.48    inference(rectify,[],[f285])).
% 0.22/0.48  thf(f285,negated_conjecture,(
% 0.22/0.48    ~(finite100568337ommute @ a @ c @ f1)),
% 0.22/0.48    inference(negated_conjecture,[],[f284])).
% 0.22/0.48  thf(f284,conjecture,(
% 0.22/0.48    (finite100568337ommute @ a @ c @ f1)),
% 0.22/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.22/0.48  % SZS output end Proof for theBenchmark
% 0.22/0.48  % (9615)------------------------------
% 0.22/0.48  % (9615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48  % (9615)Termination reason: Refutation
% 0.22/0.48  
% 0.22/0.48  % (9615)Memory used [KB]: 7164
% 0.22/0.48  % (9615)Time elapsed: 0.055 s
% 0.22/0.48  % (9615)Instructions burned: 79 (million)
% 0.22/0.48  % (9615)------------------------------
% 0.22/0.48  % (9615)------------------------------
% 0.22/0.48  % (9609)Success in time 0.104 s
% 0.22/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------