↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP453-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 10:14:02 AM UTC 2026

% Result   : Unsatisfiable 3.42s 1.33s
% Output   : Refutation 3.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   71 (  71 unt;   1 def)
%            Number of atoms       :   71 (  62 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :   17 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  203 ( 203   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

fof(f4,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

fof(f5,definition,
    ~ sP0(multiply(multiply(a3,b3),c3)),
    introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).

fof(f6,plain,
    sP0(multiply(a3,multiply(b3,c3))),
    inference(inequality_splitting,[],[f4,f5]) ).

fof(f7,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f2,f3]) ).

fof(f8,plain,
    ! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
    inference(forward_demodulation,[],[f1,f3]) ).

fof(f9,plain,
    sP0(divide(a3,inverse(multiply(b3,c3)))),
    inference(backward_demodulation,[],[f6,f7]) ).

fof(f10,plain,
    ~ sP0(multiply(divide(a3,inverse(b3)),c3)),
    inference(backward_demodulation,[],[f5,f7]) ).

fof(f11,plain,
    ! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
    inference(forward_demodulation,[],[f8,f3]) ).

fof(f12,plain,
    ~ sP0(divide(divide(a3,inverse(b3)),inverse(c3))),
    inference(forward_demodulation,[],[f10,f7]) ).

fof(f13,plain,
    sP0(divide(a3,inverse(divide(b3,inverse(c3))))),
    inference(forward_demodulation,[],[f9,f7]) ).

fof(f14,plain,
    ! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
    inference(superposition,[],[f3,f3]) ).

fof(f16,plain,
    ! [X0,X1] : inverse(X1) = divide(inverse(inverse(inverse(divide(X0,X0)))),X1),
    inference(superposition,[],[f14,f14]) ).

fof(f17,plain,
    ! [X0,X1] : inverse(X1) = divide(inverse(inverse(divide(X0,X0))),X1),
    inference(superposition,[],[f3,f14]) ).

fof(f19,plain,
    ! [X2,X3,X0,X1] : divide(inverse(divide(divide(X1,divide(X0,divide(inverse(X1),X2))),divide(X3,X0))),X2) = X3,
    inference(superposition,[],[f11,f11]) ).

fof(f20,plain,
    ! [X2,X0,X1] : divide(X2,X2) = divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1),
    inference(superposition,[],[f11,f3]) ).

fof(f22,plain,
    ! [X2,X3,X0,X1] : inverse(divide(X2,divide(X0,divide(inverse(X2),divide(inverse(X1),X3))))) = divide(inverse(divide(X1,X0)),X3),
    inference(superposition,[],[f11,f11]) ).

fof(f50,plain,
    ! [X0,X1] : divide(X0,X0) = divide(X1,X1),
    inference(superposition,[],[f20,f20]) ).

fof(f92,plain,
    ! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
    inference(superposition,[],[f3,f50]) ).

fof(f95,plain,
    ! [X2,X0,X1] : divide(inverse(divide(X1,divide(X2,divide(X0,X0)))),inverse(X1)) = X2,
    inference(superposition,[],[f11,f50]) ).

fof(f97,plain,
    ! [X2,X0,X1] : divide(inverse(X1),X2) = divide(inverse(divide(X1,divide(X0,X0))),X2),
    inference(superposition,[],[f11,f50]) ).

fof(f121,plain,
    ! [X2,X3,X0,X1,X4] : inverse(divide(X4,inverse(divide(inverse(X4),X2)))) = divide(inverse(divide(divide(X1,divide(X2,divide(inverse(X1),X3))),divide(X0,X0))),X3),
    inference(superposition,[],[f19,f20]) ).

fof(f123,plain,
    ! [X2,X3,X0,X1,X4] : inverse(divide(X4,divide(X0,divide(inverse(X4),X2)))) = divide(inverse(divide(divide(X1,divide(X2,divide(inverse(X1),X3))),X0)),X3),
    inference(superposition,[],[f19,f11]) ).

fof(f134,plain,
    ! [X2,X3,X1,X4] : inverse(divide(X4,inverse(divide(inverse(X4),X2)))) = divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3),
    inference(forward_demodulation,[],[f121,f97]) ).

fof(f141,plain,
    ! [X2,X4] : inverse(divide(X4,inverse(divide(inverse(X4),X2)))) = X2,
    inference(forward_demodulation,[],[f134,f11]) ).

fof(f217,plain,
    ! [X2,X3,X0,X1] : divide(inverse(divide(X2,X0)),X3) = inverse(inverse(divide(X0,divide(inverse(inverse(inverse(divide(X1,X1)))),divide(inverse(X2),X3))))),
    inference(superposition,[],[f22,f17]) ).

fof(f221,plain,
    ! [X2,X3,X0,X1] : divide(inverse(inverse(X0)),X3) = inverse(divide(X1,divide(X0,divide(inverse(X1),divide(inverse(inverse(inverse(divide(X2,X2)))),X3))))),
    inference(superposition,[],[f22,f17]) ).

fof(f222,plain,
    ! [X2,X3,X0,X1,X4] : divide(inverse(X0),X4) = inverse(divide(X1,divide(X2,divide(inverse(X1),divide(inverse(inverse(divide(X3,divide(X0,divide(inverse(X3),X2))))),X4))))),
    inference(superposition,[],[f22,f11]) ).

fof(f255,plain,
    ! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(inverse(divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),divide(X3,divide(inverse(inverse(divide(X2,X1))),X4))))))),divide(X5,X3))),X4) = X5,
    inference(superposition,[],[f19,f22]) ).

fof(f256,plain,
    ! [X2,X3,X0,X1,X4] : divide(inverse(inverse(divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),divide(X3,divide(inverse(inverse(divide(X2,X1))),X4)))))))),X4) = X3,
    inference(superposition,[],[f11,f22]) ).

fof(f263,plain,
    ! [X3,X0,X1] : divide(inverse(inverse(X0)),X3) = inverse(divide(X1,divide(X0,divide(inverse(X1),inverse(X3))))),
    inference(forward_demodulation,[],[f221,f16]) ).

fof(f266,plain,
    ! [X2,X3,X0] : divide(inverse(divide(X2,X0)),X3) = inverse(inverse(divide(X0,inverse(divide(inverse(X2),X3))))),
    inference(forward_demodulation,[],[f217,f16]) ).

fof(f285,plain,
    ! [X2,X0,X1] : divide(inverse(X1),X2) = inverse(inverse(divide(divide(X0,X0),inverse(divide(inverse(X1),X2))))),
    inference(backward_demodulation,[],[f97,f266]) ).

fof(f286,plain,
    ! [X2,X3,X0,X1] : inverse(divide(X2,divide(X0,divide(inverse(X2),divide(inverse(X1),X3))))) = inverse(inverse(divide(X0,inverse(divide(inverse(X1),X3))))),
    inference(backward_demodulation,[],[f22,f266]) ).

fof(f301,plain,
    ! [X2,X3,X0,X1,X4] : inverse(divide(X4,divide(X0,divide(inverse(X4),X2)))) = inverse(inverse(divide(X0,inverse(divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3))))),
    inference(backward_demodulation,[],[f123,f266]) ).

fof(f315,plain,
    ! [X2,X3,X0,X1,X4,X5] : inverse(inverse(divide(divide(X5,X3),inverse(divide(inverse(inverse(divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),divide(X3,divide(inverse(inverse(divide(X2,X1))),X4)))))))),X4))))) = X5,
    inference(backward_demodulation,[],[f255,f266]) ).

fof(f318,plain,
    ! [X2,X0,X1] : inverse(inverse(divide(divide(X2,divide(X0,X0)),inverse(divide(inverse(X1),inverse(X1)))))) = X2,
    inference(backward_demodulation,[],[f95,f266]) ).

fof(f331,plain,
    ! [X3,X5] : inverse(inverse(divide(divide(X5,X3),inverse(X3)))) = X5,
    inference(forward_demodulation,[],[f315,f256]) ).

fof(f344,plain,
    ! [X2,X3,X0,X1,X4] : inverse(divide(X4,divide(X0,divide(inverse(X4),X2)))) = inverse(inverse(divide(X0,inverse(inverse(inverse(divide(divide(X2,divide(inverse(X1),X3)),inverse(divide(inverse(X1),X3))))))))),
    inference(forward_demodulation,[],[f301,f266]) ).

fof(f357,plain,
    ! [X2,X3,X1,X4] : divide(inverse(inverse(inverse(divide(X1,inverse(divide(inverse(X2),divide(X3,divide(inverse(inverse(divide(X2,X1))),X4)))))))),X4) = X3,
    inference(backward_demodulation,[],[f256,f286]) ).

fof(f366,plain,
    ! [X2,X3,X0,X4] : divide(inverse(X0),X4) = inverse(inverse(divide(X2,inverse(divide(inverse(inverse(divide(X3,divide(X0,divide(inverse(X3),X2))))),X4))))),
    inference(backward_demodulation,[],[f222,f286]) ).

fof(f369,plain,
    ! [X2,X1] : divide(inverse(X1),X2) = inverse(inverse(inverse(inverse(divide(inverse(X1),X2))))),
    inference(forward_demodulation,[],[f285,f3]) ).

fof(f391,plain,
    ! [X2,X0,X4] : inverse(inverse(divide(X0,inverse(X2)))) = inverse(divide(X4,divide(X0,divide(inverse(X4),X2)))),
    inference(forward_demodulation,[],[f344,f331]) ).

fof(f417,plain,
    ! [X3,X0] : divide(inverse(inverse(X0)),X3) = inverse(inverse(divide(X0,inverse(inverse(X3))))),
    inference(backward_demodulation,[],[f263,f391]) ).

fof(f420,plain,
    ! [X2,X0,X4] : divide(inverse(X0),X4) = inverse(inverse(divide(X2,inverse(divide(inverse(inverse(inverse(divide(X0,inverse(X2))))),X4))))),
    inference(backward_demodulation,[],[f366,f391]) ).

fof(f442,plain,
    ! [X2,X0,X4] : divide(inverse(X0),X4) = inverse(inverse(divide(X2,inverse(inverse(inverse(divide(inverse(divide(X0,inverse(X2))),inverse(inverse(X4))))))))),
    inference(backward_demodulation,[],[f420,f417]) ).

fof(f444,plain,
    ! [X2,X3,X1,X4] : divide(inverse(inverse(inverse(divide(X1,inverse(divide(inverse(X2),divide(X3,inverse(inverse(divide(divide(X2,X1),inverse(inverse(X4)))))))))))),X4) = X3,
    inference(backward_demodulation,[],[f357,f417]) ).

fof(f458,plain,
    ! [X2,X3,X1,X4] : inverse(inverse(divide(inverse(divide(X1,inverse(divide(inverse(X2),divide(X3,inverse(inverse(divide(divide(X2,X1),inverse(inverse(X4)))))))))),inverse(inverse(X4))))) = X3,
    inference(forward_demodulation,[],[f444,f417]) ).

fof(f460,plain,
    ! [X2,X0,X4] : divide(inverse(X0),X4) = inverse(inverse(divide(X2,inverse(inverse(inverse(inverse(inverse(divide(inverse(X2),inverse(divide(inverse(X0),inverse(inverse(X4))))))))))))),
    inference(forward_demodulation,[],[f442,f266]) ).

fof(f471,plain,
    ! [X2,X3,X1,X4] : inverse(inverse(inverse(inverse(divide(inverse(divide(inverse(X2),divide(X3,inverse(inverse(divide(divide(X2,X1),inverse(inverse(X4)))))))),inverse(divide(inverse(X1),inverse(inverse(X4))))))))) = X3,
    inference(forward_demodulation,[],[f458,f266]) ).

fof(f473,plain,
    ! [X2,X0,X4] : divide(inverse(X0),X4) = inverse(inverse(divide(X2,inverse(divide(inverse(X2),inverse(divide(inverse(X0),inverse(inverse(X4))))))))),
    inference(forward_demodulation,[],[f460,f369]) ).

fof(f483,plain,
    ! [X2,X3,X1,X4] : divide(inverse(divide(inverse(X2),divide(X3,inverse(inverse(divide(divide(X2,X1),inverse(inverse(X4)))))))),inverse(divide(inverse(X1),inverse(inverse(X4))))) = X3,
    inference(forward_demodulation,[],[f471,f369]) ).

fof(f485,plain,
    ! [X0,X4] : divide(inverse(X0),X4) = inverse(inverse(divide(inverse(X0),inverse(inverse(X4))))),
    inference(forward_demodulation,[],[f473,f141]) ).

fof(f489,plain,
    ! [X2,X3,X1,X4] : inverse(inverse(divide(divide(X3,inverse(inverse(divide(divide(X2,X1),inverse(inverse(X4)))))),inverse(divide(inverse(inverse(X2)),inverse(divide(inverse(X1),inverse(inverse(X4))))))))) = X3,
    inference(forward_demodulation,[],[f483,f266]) ).

fof(f493,plain,
    ! [X2,X3,X1,X4] : inverse(inverse(divide(divide(X3,inverse(inverse(divide(divide(X2,X1),inverse(inverse(X4)))))),inverse(inverse(inverse(divide(X2,inverse(inverse(inverse(divide(inverse(X1),inverse(inverse(X4))))))))))))) = X3,
    inference(forward_demodulation,[],[f489,f417]) ).

fof(f496,plain,
    ! [X2,X3,X1,X4] : inverse(inverse(divide(divide(X3,inverse(inverse(divide(divide(X2,X1),inverse(inverse(X4)))))),inverse(inverse(inverse(divide(X2,inverse(divide(inverse(X1),X4))))))))) = X3,
    inference(forward_demodulation,[],[f493,f485]) ).

fof(f510,plain,
    ! [X0,X1] : inverse(X1) = inverse(divide(X1,inverse(divide(X0,X0)))),
    inference(superposition,[],[f141,f50]) ).

fof(f511,plain,
    ! [X0,X1] : inverse(X1) = inverse(divide(X1,divide(X0,X0))),
    inference(superposition,[],[f141,f92]) ).

fof(f523,plain,
    ! [X2,X0] : inverse(inverse(divide(X2,divide(X0,X0)))) = X2,
    inference(backward_demodulation,[],[f318,f510]) ).

fof(f532,plain,
    ! [X2] : inverse(inverse(X2)) = X2,
    inference(forward_demodulation,[],[f523,f511]) ).

fof(f552,plain,
    ! [X2,X3,X1,X4] : inverse(inverse(divide(divide(X3,inverse(inverse(divide(divide(X2,X1),inverse(inverse(X4)))))),inverse(divide(X2,inverse(divide(inverse(X1),X4))))))) = X3,
    inference(backward_demodulation,[],[f496,f532]) ).

fof(f576,plain,
    ! [X2,X3,X1,X4] : divide(divide(X3,inverse(inverse(divide(divide(X2,X1),inverse(inverse(X4)))))),inverse(divide(X2,inverse(divide(inverse(X1),X4))))) = X3,
    inference(forward_demodulation,[],[f552,f532]) ).

fof(f585,plain,
    ! [X2,X3,X1,X4] : divide(divide(X3,divide(divide(X2,X1),inverse(inverse(X4)))),inverse(divide(X2,inverse(divide(inverse(X1),X4))))) = X3,
    inference(forward_demodulation,[],[f576,f532]) ).

fof(f590,plain,
    ! [X2,X3,X1,X4] : divide(divide(X3,divide(divide(X2,X1),X4)),inverse(divide(X2,inverse(divide(inverse(X1),X4))))) = X3,
    inference(forward_demodulation,[],[f585,f532]) ).

fof(f1022,plain,
    ! [X2,X0,X1] : divide(divide(X0,X1),X2) = inverse(inverse(divide(X0,inverse(divide(inverse(X1),X2))))),
    inference(superposition,[],[f3,f590]) ).

fof(f1029,plain,
    ! [X2,X0,X1] : divide(divide(X0,X1),X2) = divide(X0,inverse(divide(inverse(X1),X2))),
    inference(forward_demodulation,[],[f1022,f532]) ).

fof(f1092,plain,
    ~ sP0(divide(a3,inverse(divide(inverse(inverse(b3)),inverse(c3))))),
    inference(backward_demodulation,[],[f12,f1029]) ).

fof(f1154,plain,
    ~ sP0(divide(a3,inverse(divide(b3,inverse(c3))))),
    inference(forward_demodulation,[],[f1092,f532]) ).

fof(f1206,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1154,f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP453-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n005.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 10:04:48 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  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
% 3.42/1.33  % (3760739)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.42/1.33  % (3760851)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2916366681:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.42/1.33  % (3760848)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3975978806:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.42/1.33  % (3760847)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3804864696:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.42/1.33  % (3760850)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3210795907:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.42/1.33  % (3760845)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=1244210632:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.42/1.33  % (3760846)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=3101053817:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.42/1.33  % (3760849)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=915432347:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.42/1.33  % (3760848)First to succeed.
% 3.42/1.33  % (3760848)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3760739"
% 3.42/1.33  % (3760850)Also succeeded, but the first one will report.
% 3.42/1.33  % (3760849)Instruction limit reached! 
% 3.42/1.33  % (3760849)------------------------------
% 3.42/1.33  % (3760849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.33  % (3760849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.33  % (3760849)CaDiCaL version: 2.1.3
% 3.42/1.33  % (3760849)Termination reason: Instruction limit
% 3.42/1.33  % (3760849)Termination phase: Saturation
% 3.42/1.33  % (3760849)Time elapsed: 0.096 s
% 3.42/1.33  % (3760849)Peak memory usage: 88 MB
% 3.42/1.33  % (3760849)Instructions burned: 182 (million)
% 3.42/1.33  % (3760851)Also succeeded, but the first one will report.
% 3.42/1.33  % (3760872)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1715513237:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.42/1.33  % (3760848)Refutation found. Thanks to Tanya!
% 3.42/1.33  % SZS status Unsatisfiable for theBenchmark
% 3.42/1.33  % SZS output start Proof for theBenchmark
% See solution above
% 3.97/1.53  % (3760848)------------------------------
% 3.97/1.53  % (3760848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.53  % (3760848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.53  % (3760848)CaDiCaL version: 2.1.3
% 3.97/1.53  % (3760848)Termination reason: Refutation
% 3.97/1.53  % (3760848)Time elapsed: 0.048 s
% 3.97/1.53  % (3760848)Peak memory usage: 88 MB
% 3.97/1.53  % (3760848)Instructions burned: 79 (million)
% 3.97/1.53  % (3760848)------------------------------
% 3.97/1.53  % (3760848)------------------------------
% 3.97/1.53  % (3760739)Success in time 0.477 s
% 3.97/1.53  % Vampire exiting
%------------------------------------------------------------------------------