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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL753-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:56:27 AM UTC 2026

% Result   : Unsatisfiable 8.69s 2.20s
% Output   : Refutation 8.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   14 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f374,axiom,
    ! [X0] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less0_0) ).

fof(f730,axiom,
    ! [X2,X0,X1] : c_Lambda_Osubst(c_Lambda_OdB_OAbs(X0),X1,X2) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(X0,c_Lambda_Olift(X1,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__Abs_0) ).

fof(f739,axiom,
    ! [X0,X1] :
      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
      | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift_Osimps_I1_J_1) ).

fof(f828,axiom,
    ! [X0] :
      ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0))
      | ~ c_InductTermi_OIT(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Lambda_0) ).

fof(f833,negated_conjecture,
    ! [X0,X1] : c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f834,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(v_ra),c_Lambda_OdB_OVar(v_ia),v_ja)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f998,plain,
    ! [X2,X0,X1] :
      ( ~ c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_Olift(X1,c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))
      | c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OAbs(X0),X1,X2)) ),
    inference(superposition,[],[f828,f730]) ).

fof(f1000,plain,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_Olift(c_Lambda_OdB_OVar(v_ia),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(v_ja,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
    inference(unit_resulting_resolution,[],[f998,f834]) ).

fof(f1021,plain,
    ! [X0] : c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Lambda_Olift(c_Lambda_OdB_OVar(X0),c_HOL_Ozero__class_Ozero(tc_nat)),
    inference(unit_resulting_resolution,[],[f739,f374]) ).

fof(f1056,plain,
    ! [X0,X1] : c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_Olift(c_Lambda_OdB_OVar(X0),c_HOL_Ozero__class_Ozero(tc_nat)),X1)),
    inference(superposition,[],[f833,f1021]) ).

fof(f1057,plain,
    $false,
    inference(unit_resulting_resolution,[],[f1056,f1000]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL753-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n010.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 27 16:44:31 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39  Running first-order theorem proving
% 0.14/0.39  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.42/2.00  % (1161366)Input is clausal, will run a generic CNF schedule.
% 6.42/2.00  % (1161374)lrs+10_1_sil=8000:sp=occurrence:random_seed=2573786556:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.42/2.00  % (1161371)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=564904562:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.42/2.00  % (1161372)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=706772983:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.42/2.00  % (1161376)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3926255479:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.42/2.00  % (1161377)dis-21_1_sil=8000:lcm=predicate:random_seed=648270050:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.42/2.00  % (1161375)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=291218536:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.42/2.00  % (1161373)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=655057943:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.42/2.00  % (1161374)Instruction limit reached! 
% 6.42/2.00  % (1161374)------------------------------
% 6.42/2.00  % (1161374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.00  % (1161374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.00  % (1161374)CaDiCaL version: 2.1.3
% 6.42/2.00  % (1161374)Termination reason: Instruction limit
% 6.42/2.00  % (1161374)Termination phase: Saturation
% 6.42/2.00  % (1161374)Time elapsed: 0.038 s
% 6.42/2.00  % (1161374)Peak memory usage: 89 MB
% 6.42/2.00  % (1161374)Instructions burned: 109 (million)
% 6.42/2.00  % (1161377)Instruction limit reached! 
% 6.42/2.00  % (1161377)------------------------------
% 6.42/2.00  % (1161377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.00  % (1161377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.00  % (1161377)CaDiCaL version: 2.1.3
% 6.42/2.00  % (1161377)Termination reason: Instruction limit
% 6.42/2.00  % (1161377)Termination phase: Saturation
% 6.42/2.00  % (1161377)Time elapsed: 0.069 s
% 6.42/2.00  % (1161377)Peak memory usage: 89 MB
% 6.42/2.00  % (1161377)Instructions burned: 119 (million)
% 6.42/2.00  % (1161375)Instruction limit reached! 
% 6.42/2.00  % (1161375)------------------------------
% 6.42/2.00  % (1161375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.00  % (1161375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.00  % (1161375)CaDiCaL version: 2.1.3
% 6.42/2.00  % (1161375)Termination reason: Instruction limit
% 6.42/2.00  % (1161375)Termination phase: Saturation
% 6.42/2.00  % (1161375)Time elapsed: 0.072 s
% 6.42/2.00  % (1161375)Peak memory usage: 88 MB
% 6.42/2.00  % (1161375)Instructions burned: 114 (million)
% 6.42/2.00  % (1161376)Instruction limit reached! 
% 6.42/2.00  % (1161376)------------------------------
% 6.42/2.00  % (1161376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.00  % (1161376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.00  % (1161376)CaDiCaL version: 2.1.3
% 6.42/2.00  % (1161376)Termination reason: Instruction limit
% 6.42/2.00  % (1161376)Termination phase: Saturation
% 6.42/2.00  % (1161376)Time elapsed: 0.116 s
% 6.42/2.00  % (1161376)Peak memory usage: 89 MB
% 6.42/2.00  % (1161376)Instructions burned: 180 (million)
% 6.42/2.00  % (1161385)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2558491334:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.42/2.00  % (1161385)Refutation not found, incomplete strategy
% 6.42/2.00  % (1161385)------------------------------
% 6.42/2.00  % (1161385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.00  % (1161385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.00  % (1161385)CaDiCaL version: 2.1.3
% 6.42/2.00  % (1161385)Termination reason: Refutation not found, incomplete strategy
% 6.42/2.00  % (1161385)Time elapsed: 0.010 s
% 6.42/2.00  % (1161385)Peak memory usage: 89 MB
% 6.42/2.00  % (1161385)Instructions burned: 29 (million)
% 6.42/2.00  % (1161386)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3066501291:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.69/2.19  % (1161387)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2693370459:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.69/2.19  % (1161387)Refutation not found, incomplete strategy
% 8.69/2.19  % (1161387)------------------------------
% 8.69/2.19  % (1161387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.19  % (1161387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.19  % (1161387)CaDiCaL version: 2.1.3
% 8.69/2.19  % (1161387)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.19  % (1161387)Time elapsed: 0.011 s
% 8.69/2.19  % (1161387)Peak memory usage: 88 MB
% 8.69/2.19  % (1161387)Instructions burned: 17 (million)
% 8.69/2.19  % (1161385)------------------------------
% 8.69/2.19  % (1161385)------------------------------
% 8.69/2.19  % (1161388)lrs+10_64_to=lpo:sil=8000:random_seed=1762491635:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.69/2.20  % (1161386)Instruction limit reached! 
% 8.69/2.20  % (1161386)------------------------------
% 8.69/2.20  % (1161386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.20  % (1161386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.20  % (1161386)CaDiCaL version: 2.1.3
% 8.69/2.20  % (1161386)Termination reason: Instruction limit
% 8.69/2.20  % (1161386)Termination phase: Saturation
% 8.69/2.20  % (1161386)Time elapsed: 0.111 s
% 8.69/2.20  % (1161386)Peak memory usage: 91 MB
% 8.69/2.20  % (1161386)Instructions burned: 190 (million)
% 8.69/2.20  % (1161388)Instruction limit reached! 
% 8.69/2.20  % (1161388)------------------------------
% 8.69/2.20  % (1161388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.20  % (1161388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.20  % (1161388)CaDiCaL version: 2.1.3
% 8.69/2.20  % (1161388)Termination reason: Instruction limit
% 8.69/2.20  % (1161388)Termination phase: Saturation
% 8.69/2.20  % (1161388)Time elapsed: 0.083 s
% 8.69/2.20  % (1161388)Peak memory usage: 89 MB
% 8.69/2.20  % (1161388)Instructions burned: 126 (million)
% 8.69/2.20  % (1161393)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=478115836:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.69/2.20  % (1161393)Instruction limit reached! 
% 8.69/2.20  % (1161393)------------------------------
% 8.69/2.20  % (1161393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.20  % (1161393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.20  % (1161393)CaDiCaL version: 2.1.3
% 8.69/2.20  % (1161393)Termination reason: Instruction limit
% 8.69/2.20  % (1161393)Termination phase: Saturation
% 8.69/2.20  % (1161393)Time elapsed: 0.063 s
% 8.69/2.20  % (1161393)Peak memory usage: 89 MB
% 8.69/2.20  % (1161393)Instructions burned: 195 (million)
% 8.69/2.20  % (1161387)------------------------------
% 8.69/2.20  % (1161387)------------------------------
% 8.69/2.20  % (1161394)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3842043576:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.69/2.20  % (1161395)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=480391611:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.69/2.20  % (1161394)Instruction limit reached! 
% 8.69/2.20  % (1161394)------------------------------
% 8.69/2.20  % (1161394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.20  % (1161394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.20  % (1161394)CaDiCaL version: 2.1.3
% 8.69/2.20  % (1161394)Termination reason: Instruction limit
% 8.69/2.20  % (1161394)Termination phase: Saturation
% 8.69/2.20  % (1161394)Time elapsed: 0.101 s
% 8.69/2.20  % (1161394)Peak memory usage: 90 MB
% 8.69/2.20  % (1161394)Instructions burned: 157 (million)
% 8.69/2.20  % (1161397)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=798567938:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.69/2.20  % (1161397)Instruction limit reached! 
% 8.69/2.20  % (1161397)------------------------------
% 8.69/2.20  % (1161397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.20  % (1161397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.20  % (1161397)CaDiCaL version: 2.1.3
% 8.69/2.20  % (1161397)Termination reason: Instruction limit
% 8.69/2.20  % (1161397)Termination phase: Saturation
% 8.69/2.20  % (1161397)Time elapsed: 0.033 s
% 8.69/2.20  % (1161397)Peak memory usage: 89 MB
% 8.69/2.20  % (1161397)Instructions burned: 107 (million)
% 8.69/2.20  % (1161399)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3681660481:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.69/2.20  % (1161399)Refutation not found, incomplete strategy
% 8.69/2.20  % (1161399)------------------------------
% 8.69/2.20  % (1161399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.20  % (1161399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.20  % (1161399)CaDiCaL version: 2.1.3
% 8.69/2.20  % (1161399)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.20  % (1161399)Time elapsed: 0.012 s
% 8.69/2.20  % (1161399)Peak memory usage: 88 MB
% 8.69/2.20  % (1161399)Instructions burned: 19 (million)
% 8.69/2.20  % (1161372)First to succeed.
% 8.69/2.20  % (1161372)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1161366"
% 8.69/2.20  % (1161373)Also succeeded, but the first one will report.
% 8.69/2.20  % (1161371)Also succeeded, but the first one will report.
% 8.69/2.20  % (1161403)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2043833908:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.69/2.20  % (1161402)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2483705950:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.69/2.20  % (1161399)------------------------------
% 8.69/2.20  % (1161399)------------------------------
% 8.69/2.20  % (1161402)Instruction limit reached! 
% 8.69/2.20  % (1161402)------------------------------
% 8.69/2.20  % (1161402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.20  % (1161402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.20  % (1161402)CaDiCaL version: 2.1.3
% 8.69/2.20  % (1161402)Termination reason: Instruction limit
% 8.69/2.20  % (1161402)Termination phase: Saturation
% 8.69/2.20  % (1161402)Time elapsed: 0.151 s
% 8.69/2.20  % (1161402)Peak memory usage: 89 MB
% 8.69/2.20  % (1161402)Instructions burned: 244 (million)
% 8.69/2.20  % (1161372)Refutation found. Thanks to Tanya!
% 8.69/2.20  % SZS status Unsatisfiable for theBenchmark
% 8.69/2.20  % SZS output start Proof for theBenchmark
% See solution above
% 8.69/2.20  % (1161372)------------------------------
% 8.69/2.20  % (1161372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.20  % (1161372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.20  % (1161372)CaDiCaL version: 2.1.3
% 8.69/2.20  % (1161372)Termination reason: Refutation
% 8.69/2.20  % (1161372)Time elapsed: 0.711 s
% 8.69/2.20  % (1161372)Peak memory usage: 131 MB
% 8.69/2.20  % (1161372)Instructions burned: 1087 (million)
% 8.69/2.20  % (1161372)------------------------------
% 8.69/2.20  % (1161372)------------------------------
% 8.69/2.20  % (1161366)Success in time 1.167 s
% 8.69/2.20  % Vampire exiting
%------------------------------------------------------------------------------