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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP727-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 10:16:03 AM UTC 2026

% Result   : Unsatisfiable 34.49s 6.00s
% Output   : Refutation 35.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   61 (  61 unt;   0 def)
%            Number of atoms       :   61 (  60 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :  203 ( 203   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

fof(f3,axiom,
    ! [X0] : mult(X0,i(X0)) = unit,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

fof(f4,plain,
    ! [X0] : unit = mult(X0,i(X0)),
    inference(reorient_equations,[],[f3]) ).

fof(f5,axiom,
    ! [X0] : mult(i(X0),X0) = unit,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

fof(f6,plain,
    ! [X0] : unit = mult(i(X0),X0),
    inference(reorient_equations,[],[f5]) ).

fof(f7,axiom,
    ! [X0,X1] : i(mult(X0,X1)) = mult(i(X0),i(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

fof(f8,axiom,
    ! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).

fof(f9,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

fof(f10,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).

fof(f11,axiom,
    ! [X2,X0,X1] : mult(mult(X0,mult(X1,X0)),X2) = mult(X0,mult(X1,mult(X0,X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).

fof(f12,axiom,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

fof(f22,axiom,
    ! [X2,X3,X0,X1,X4] : asoc(asoc(X0,X1,X2),X3,X4) = unit,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c20) ).

fof(f23,plain,
    ! [X2,X3,X0,X1,X4] : unit = asoc(asoc(X0,X1,X2),X3,X4),
    inference(reorient_equations,[],[f22]) ).

fof(f24,negated_conjecture,
    asoc(a,b,asoc(c,d,e)) != unit,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f25,plain,
    unit != asoc(a,b,asoc(c,d,e)),
    inference(reorient_equations,[],[f24]) ).

fof(f34,plain,
    ! [X2,X3,X0,X1,X4] : mult(mult(asoc(X0,X1,X2),X3),X4) = mult(mult(asoc(X0,X1,X2),mult(X3,X4)),unit),
    inference(superposition,[],[f12,f23]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1,X4] : mult(mult(asoc(X0,X1,X2),X3),X4) = mult(asoc(X0,X1,X2),mult(X3,X4)),
    inference(forward_demodulation,[],[f34,f2]) ).

fof(f81,plain,
    ! [X2,X0,X1] : asoc(X0,X1,X2) = mult(i(mult(X0,mult(X1,X2))),mult(mult(X0,X1),X2)),
    inference(superposition,[],[f8,f12]) ).

fof(f96,plain,
    ! [X2,X0,X1] : mult(mult(X1,X0),X2) = mult(X1,mult(rd(X0,X1),mult(X1,X2))),
    inference(superposition,[],[f11,f10]) ).

fof(f104,plain,
    ! [X0,X1] : i(X1) = rd(X0,mult(X1,X0)),
    inference(superposition,[],[f9,f8]) ).

fof(f136,plain,
    ! [X0,X1] : i(i(X1)) = rd(mult(X1,X0),X0),
    inference(superposition,[],[f104,f8]) ).

fof(f137,plain,
    ! [X0,X1] : i(rd(X0,X1)) = rd(X1,X0),
    inference(superposition,[],[f104,f10]) ).

fof(f139,plain,
    ! [X1] : i(i(X1)) = X1,
    inference(forward_demodulation,[],[f136,f9]) ).

fof(f157,plain,
    ! [X0,X1] : mult(X0,i(X1)) = i(mult(i(X0),X1)),
    inference(superposition,[],[f7,f139]) ).

fof(f158,plain,
    ! [X0,X1] : mult(i(X1),X0) = i(mult(X1,i(X0))),
    inference(superposition,[],[f7,f139]) ).

fof(f241,plain,
    ! [X0] : i(X0) = rd(unit,X0),
    inference(superposition,[],[f9,f6]) ).

fof(f3113,plain,
    ! [X2,X0,X1] : mult(i(X0),mult(mult(X0,X1),X2)) = mult(rd(X1,X0),mult(X0,X2)),
    inference(superposition,[],[f8,f96]) ).

fof(f3265,plain,
    ! [X2,X3,X0,X1,X4] : mult(rd(X3,asoc(X0,X1,X2)),mult(asoc(X0,X1,X2),X4)) = mult(i(asoc(X0,X1,X2)),mult(asoc(X0,X1,X2),mult(X3,X4))),
    inference(superposition,[],[f3113,f35]) ).

fof(f3346,plain,
    ! [X2,X3,X0,X1,X4] : mult(X3,X4) = mult(rd(X3,asoc(X0,X1,X2)),mult(asoc(X0,X1,X2),X4)),
    inference(forward_demodulation,[],[f3265,f8]) ).

fof(f3998,plain,
    ! [X2,X3,X0,X1,X4] : mult(X0,mult(asoc(X1,X2,X3),X4)) = mult(mult(X0,asoc(X1,X2,X3)),X4),
    inference(superposition,[],[f3346,f9]) ).

fof(f4020,plain,
    ! [X2,X3,X0,X1] : mult(X0,i(asoc(X1,X2,X3))) = mult(rd(X0,asoc(X1,X2,X3)),unit),
    inference(superposition,[],[f3346,f4]) ).

fof(f4036,plain,
    ! [X2,X3,X0,X1,X4] : rd(X0,asoc(X2,X3,X4)) = rd(mult(X0,X1),mult(asoc(X2,X3,X4),X1)),
    inference(superposition,[],[f9,f3346]) ).

fof(f4077,plain,
    ! [X2,X3,X0,X1] : rd(X0,asoc(X1,X2,X3)) = mult(X0,i(asoc(X1,X2,X3))),
    inference(forward_demodulation,[],[f4020,f2]) ).

fof(f4134,plain,
    ! [X2,X3,X0,X1] : rd(X0,asoc(X1,X2,X3)) = rd(unit,mult(asoc(X1,X2,X3),i(X0))),
    inference(superposition,[],[f4036,f4]) ).

fof(f4152,plain,
    ! [X2,X3,X0,X1] : rd(i(X0),asoc(X1,X2,X3)) = rd(unit,mult(asoc(X1,X2,X3),X0)),
    inference(superposition,[],[f4036,f6]) ).

fof(f4227,plain,
    ! [X2,X3,X0,X1] : rd(i(X0),asoc(X1,X2,X3)) = i(mult(asoc(X1,X2,X3),X0)),
    inference(forward_demodulation,[],[f4152,f241]) ).

fof(f4237,plain,
    ! [X2,X3,X0,X1] : rd(X0,asoc(X1,X2,X3)) = i(mult(asoc(X1,X2,X3),i(X0))),
    inference(forward_demodulation,[],[f4134,f241]) ).

fof(f4258,plain,
    ! [X2,X3,X0,X1] : mult(i(asoc(X1,X2,X3)),X0) = rd(X0,asoc(X1,X2,X3)),
    inference(forward_demodulation,[],[f4237,f158]) ).

fof(f4305,plain,
    ! [X2,X3,X0,X1] : i(i(mult(asoc(X0,X1,X2),X3))) = rd(asoc(X0,X1,X2),i(X3)),
    inference(superposition,[],[f137,f4227]) ).

fof(f4315,plain,
    ! [X2,X3,X0,X1] : mult(asoc(X0,X1,X2),X3) = rd(asoc(X0,X1,X2),i(X3)),
    inference(forward_demodulation,[],[f4305,f139]) ).

fof(f4381,plain,
    ! [X2,X3,X0,X1] : i(rd(X0,asoc(X1,X2,X3))) = mult(i(X0),asoc(X1,X2,X3)),
    inference(superposition,[],[f158,f4077]) ).

fof(f4419,plain,
    ! [X2,X3,X0,X1] : mult(X0,i(i(asoc(X1,X2,X3)))) = i(rd(i(X0),asoc(X1,X2,X3))),
    inference(superposition,[],[f157,f4077]) ).

fof(f4439,plain,
    ! [X2,X3,X0,X1] : mult(X0,i(i(asoc(X1,X2,X3)))) = rd(asoc(X1,X2,X3),i(X0)),
    inference(forward_demodulation,[],[f4419,f137]) ).

fof(f4472,plain,
    ! [X2,X3,X0,X1] : rd(asoc(X1,X2,X3),X0) = mult(i(X0),asoc(X1,X2,X3)),
    inference(forward_demodulation,[],[f4381,f137]) ).

fof(f4499,plain,
    ! [X2,X3,X0,X1] : mult(asoc(X1,X2,X3),X0) = mult(X0,i(i(asoc(X1,X2,X3)))),
    inference(forward_demodulation,[],[f4439,f4315]) ).

fof(f4536,plain,
    ! [X2,X3,X0,X1] : mult(X0,asoc(X1,X2,X3)) = mult(asoc(X1,X2,X3),X0),
    inference(forward_demodulation,[],[f4499,f139]) ).

fof(f4698,plain,
    ! [X2,X3,X0,X1] : mult(asoc(X1,X2,X3),i(X0)) = i(rd(X0,asoc(X1,X2,X3))),
    inference(superposition,[],[f157,f4258]) ).

fof(f4795,plain,
    ! [X2,X3,X0,X1] : mult(asoc(X1,X2,X3),i(X0)) = rd(asoc(X1,X2,X3),X0),
    inference(forward_demodulation,[],[f4698,f137]) ).

fof(f5677,plain,
    ! [X2,X3,X0,X1,X4] : mult(mult(asoc(X0,X1,X2),X3),X4) = mult(X3,mult(asoc(X0,X1,X2),X4)),
    inference(superposition,[],[f3998,f4536]) ).

fof(f5754,plain,
    ! [X2,X3,X0,X1,X4] : mult(mult(asoc(X2,X3,X4),X0),X1) = mult(mult(mult(X0,X1),asoc(X2,X3,X4)),asoc(asoc(X2,X3,X4),X0,X1)),
    inference(superposition,[],[f12,f4536]) ).

fof(f5764,plain,
    ! [X2,X3,X0,X1,X4] : mult(mult(asoc(X2,X3,X4),X0),X1) = mult(mult(X0,X1),mult(asoc(X2,X3,X4),asoc(asoc(X2,X3,X4),X0,X1))),
    inference(forward_demodulation,[],[f5754,f3998]) ).

fof(f5830,plain,
    ! [X2,X3,X0,X1,X4] : mult(mult(asoc(X2,X3,X4),X0),X1) = mult(mult(X0,X1),mult(asoc(X2,X3,X4),unit)),
    inference(forward_demodulation,[],[f5764,f23]) ).

fof(f5869,plain,
    ! [X2,X3,X0,X1,X4] : mult(mult(asoc(X2,X3,X4),X0),X1) = mult(mult(X0,X1),asoc(X2,X3,X4)),
    inference(forward_demodulation,[],[f5830,f2]) ).

fof(f5889,plain,
    ! [X2,X3,X0,X1,X4] : mult(mult(X0,X1),asoc(X2,X3,X4)) = mult(X0,mult(asoc(X2,X3,X4),X1)),
    inference(forward_demodulation,[],[f5869,f5677]) ).

fof(f23397,plain,
    ! [X2,X3,X0,X1,X4] : asoc(X4,i(X3),asoc(X0,X1,X2)) = mult(i(mult(X4,rd(asoc(X0,X1,X2),X3))),mult(mult(X4,i(X3)),asoc(X0,X1,X2))),
    inference(superposition,[],[f81,f4472]) ).

fof(f23460,plain,
    ! [X2,X3,X0,X1,X4] : mult(i(mult(X4,rd(asoc(X0,X1,X2),X3))),mult(X4,mult(asoc(X0,X1,X2),i(X3)))) = asoc(X4,i(X3),asoc(X0,X1,X2)),
    inference(forward_demodulation,[],[f23397,f5889]) ).

fof(f23535,plain,
    ! [X2,X3,X0,X1,X4] : mult(i(mult(X4,rd(asoc(X0,X1,X2),X3))),mult(X4,rd(asoc(X0,X1,X2),X3))) = asoc(X4,i(X3),asoc(X0,X1,X2)),
    inference(forward_demodulation,[],[f23460,f4795]) ).

fof(f23572,plain,
    ! [X2,X3,X0,X1,X4] : unit = asoc(X4,i(X3),asoc(X0,X1,X2)),
    inference(forward_demodulation,[],[f23535,f6]) ).

fof(f24314,plain,
    ! [X2,X3,X0,X1,X4] : unit = asoc(X1,X0,asoc(X2,X3,X4)),
    inference(superposition,[],[f23572,f139]) ).

fof(f24520,plain,
    unit != unit,
    inference(superposition,[],[f25,f24314]) ).

fof(f24521,plain,
    $false,
    inference(trivial_inequality_removal,[],[f24520]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GRP727-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44  % Computer : n007.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Sun Sep 27 10:35:55 UTC 2026
% 0.18/0.44  % CPUTime  : 
% 0.18/0.44  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.49  Running first-order theorem proving
% 0.24/0.49  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.49/6.00  % (1224449)Detected a unit-equality problem, will run specialized UEQ schedule.
% 34.49/6.00  % (1224462)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2095380551:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 34.49/6.00  % (1224468)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2827035529:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 34.49/6.00  % (1224464)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1597292160:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 34.49/6.00  % (1224466)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=29191583:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 34.49/6.00  % (1224467)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=297191247:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 34.49/6.00  % (1224465)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=563762188:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 34.49/6.00  % (1224461)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1402434255:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 34.49/6.00  % (1224465)Instruction limit reached! 
% 34.49/6.00  % (1224465)------------------------------
% 34.49/6.00  % (1224465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/6.00  % (1224465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/6.00  % (1224465)CaDiCaL version: 2.1.3
% 34.49/6.00  % (1224465)Termination reason: Instruction limit
% 34.49/6.00  % (1224465)Termination phase: Saturation
% 34.49/6.00  % (1224465)Time elapsed: 0.131 s
% 34.49/6.00  % (1224465)Peak memory usage: 89 MB
% 34.49/6.00  % (1224465)Instructions burned: 136 (million)
% 34.49/6.00  % (1224466)Instruction limit reached! 
% 34.49/6.00  % (1224466)------------------------------
% 34.49/6.00  % (1224466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/6.00  % (1224466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/6.00  % (1224466)CaDiCaL version: 2.1.3
% 34.49/6.00  % (1224466)Termination reason: Instruction limit
% 34.49/6.00  % (1224466)Termination phase: Saturation
% 34.49/6.00  % (1224466)Time elapsed: 0.163 s
% 34.49/6.00  % (1224466)Peak memory usage: 90 MB
% 34.49/6.00  % (1224466)Instructions burned: 182 (million)
% 34.49/6.00  % (1224467)Instruction limit reached! 
% 34.49/6.00  % (1224467)------------------------------
% 34.49/6.00  % (1224467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/6.00  % (1224467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/6.00  % (1224467)CaDiCaL version: 2.1.3
% 34.49/6.00  % (1224467)Termination reason: Instruction limit
% 34.49/6.00  % (1224467)Termination phase: Saturation
% 34.49/6.00  % (1224467)Time elapsed: 0.260 s
% 34.49/6.00  % (1224467)Peak memory usage: 90 MB
% 34.49/6.00  % (1224467)Instructions burned: 258 (million)
% 34.49/6.00  % (1224477)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=217510900:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 34.49/6.00  % (1224479)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=161380548:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 34.49/6.00  % (1224480)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=799275261:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 34.49/6.00  % (1224480)Instruction limit reached! 
% 34.49/6.00  % (1224480)------------------------------
% 34.49/6.00  % (1224480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/6.00  % (1224480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/6.00  % (1224480)CaDiCaL version: 2.1.3
% 34.49/6.00  % (1224480)Termination reason: Instruction limit
% 34.49/6.00  % (1224480)Termination phase: Saturation
% 34.49/6.00  % (1224480)Time elapsed: 0.159 s
% 34.49/6.00  % (1224480)Peak memory usage: 90 MB
% 34.49/6.00  % (1224480)Instructions burned: 215 (million)
% 34.49/6.00  % (1224484)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3784471693:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 34.49/6.00  % (1224468)Instruction limit reached! 
% 34.49/6.00  % (1224468)------------------------------
% 34.49/6.00  % (1224468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/6.00  % (1224468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/6.00  % (1224468)CaDiCaL version: 2.1.3
% 34.49/6.00  % (1224468)Termination reason: Instruction limit
% 34.49/6.00  % (1224468)Termination phase: Saturation
% 34.49/6.00  % (1224468)Time elapsed: 1.121 s
% 34.49/6.00  % (1224468)Peak memory usage: 101 MB
% 34.49/6.00  % (1224468)Instructions burned: 1187 (million)
% 34.49/6.00  % (1224484)Instruction limit reached! 
% 34.49/6.00  % (1224484)------------------------------
% 34.49/6.00  % (1224484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/6.00  % (1224484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/6.00  % (1224484)CaDiCaL version: 2.1.3
% 34.49/6.00  % (1224484)Termination reason: Instruction limit
% 34.49/6.00  % (1224484)Termination phase: Saturation
% 34.49/6.00  % (1224484)Time elapsed: 0.341 s
% 34.49/6.00  % (1224484)Peak memory usage: 94 MB
% 34.49/6.00  % (1224484)Instructions burned: 317 (million)
% 34.49/6.00  % (1224486)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1528176002:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 34.49/6.00  % (1224487)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3325769767:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2987 on theBenchmark for (2987ds/2836Mi)
% 34.49/6.00  % (1224477)Instruction limit reached! 
% 34.49/6.00  % (1224477)------------------------------
% 34.49/6.00  % (1224477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/6.00  % (1224477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/6.00  % (1224477)CaDiCaL version: 2.1.3
% 34.49/6.00  % (1224477)Termination reason: Instruction limit
% 34.49/6.00  % (1224477)Termination phase: Saturation
% 34.49/6.00  % (1224477)Time elapsed: 2.235 s
% 34.49/6.00  % (1224477)Peak memory usage: 141 MB
% 34.49/6.00  % (1224477)Instructions burned: 2051 (million)
% 34.49/6.00  % (1224494)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=164054333:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2972 on theBenchmark for (2972ds/14534Mi)
% 34.49/6.00  % (1224487)Instruction limit reached! 
% 34.49/6.00  % (1224487)------------------------------
% 34.49/6.00  % (1224487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/6.00  % (1224487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/6.00  % (1224487)CaDiCaL version: 2.1.3
% 34.49/6.00  % (1224487)Termination reason: Instruction limit
% 34.49/6.00  % (1224487)Termination phase: Saturation
% 34.49/6.00  % (1224487)Time elapsed: 3.020 s
% 34.49/6.00  % (1224487)Peak memory usage: 124 MB
% 34.49/6.00  % (1224487)Instructions burned: 2836 (million)
% 34.49/6.00  % (1224479)First to succeed.
% 34.49/6.00  % (1224479)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1224449"
% 34.49/6.00  % (1224503)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3421059464:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2955 on theBenchmark for (2955ds/11832Mi)
% 34.49/6.00  % (1224479)Refutation found. Thanks to Tanya!
% 34.49/6.00  % SZS status Unsatisfiable for theBenchmark
% 34.49/6.00  % SZS output start Proof for theBenchmark
% See solution above
% 35.74/6.24  % (1224479)------------------------------
% 35.74/6.24  % (1224479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.74/6.24  % (1224479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.74/6.24  % (1224479)CaDiCaL version: 2.1.3
% 35.74/6.24  % (1224479)Termination reason: Refutation
% 35.74/6.24  % (1224479)Time elapsed: 3.886 s
% 35.74/6.24  % (1224479)Peak memory usage: 156 MB
% 35.74/6.24  % (1224479)Instructions burned: 3695 (million)
% 35.74/6.24  % (1224479)------------------------------
% 35.74/6.24  % (1224479)------------------------------
% 35.74/6.24  % (1224449)Success in time 4.929 s
% 35.74/6.24  % Vampire exiting
%------------------------------------------------------------------------------