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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR072-10 : TPTP v9.3.1. Released v7.3.0.
% 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 09:42:37 AM UTC 2026

% Result   : Unsatisfiable 0.21s 2.31s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-4 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).

fof(f8578,axiom,
    genls(c_tptpcol_16_130924,c_tptpcol_15_130923) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_4304) ).

fof(f8579,plain,
    true = genls(c_tptpcol_16_130924,c_tptpcol_15_130923),
    inference(reorient_equations,[],[f8578]) ).

fof(f16016,negated_conjecture,
    ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query172_1) ).

fof(f16017,plain,
    b = ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true,a,b),
    inference(reorient_equations,[],[f16016]) ).

fof(f16018,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

fof(f16019,plain,
    b = ifeq3(true,true,a,b),
    inference(superposition,[],[f16017,f8579]) ).

fof(f16021,plain,
    a = b,
    inference(superposition,[],[f16019,f2]) ).

fof(f16022,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f16021,f16018]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR072-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n010.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 22:25:02 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running first-order theorem proving
% 0.08/0.24  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
% 0.21/2.31  % (2433643)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.21/2.31  % (2433649)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=353963170:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/130792Mi)
% 0.21/2.31  % (2433650)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=591809700:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2996 on theBenchmark for (2996ds/130716Mi)
% 0.21/2.31  % (2433653)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2438233582:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2996 on theBenchmark for (2996ds/257Mi)
% 0.21/2.31  % (2433651)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1854760247:i=136:bd=preordered:ins=2:av=off_2996 on theBenchmark for (2996ds/136Mi)
% 0.21/2.31  % (2433648)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=2799790414:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/138329Mi)
% 0.21/2.31  % (2433654)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2073304879:i=1187:sd=4:av=off:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/1187Mi)
% 0.21/2.31  % (2433652)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1202954472:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2996 on theBenchmark for (2996ds/181Mi)
% 0.21/2.31  % (2433654)First to succeed.
% 0.21/2.31  % (2433654)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2433643"
% 0.21/2.31  % (2433651)Instruction limit reached! 
% 0.21/2.31  % (2433651)------------------------------
% 0.21/2.31  % (2433651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.31  % (2433651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.31  % (2433651)CaDiCaL version: 2.1.3
% 0.21/2.31  % (2433651)Termination reason: Instruction limit
% 0.21/2.31  % (2433651)Termination phase: Saturation
% 0.21/2.31  % (2433651)Time elapsed: 0.126 s
% 0.21/2.31  % (2433651)Peak memory usage: 95 MB
% 0.21/2.31  % (2433651)Instructions burned: 136 (million)
% 0.21/2.31  % (2433652)Instruction limit reached! 
% 0.21/2.31  % (2433652)------------------------------
% 0.21/2.31  % (2433652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.31  % (2433652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.31  % (2433652)CaDiCaL version: 2.1.3
% 0.21/2.31  % (2433652)Termination reason: Instruction limit
% 0.21/2.31  % (2433652)Termination phase: Twee Goal Transformation
% 0.21/2.31  % (2433652)Time elapsed: 0.161 s
% 0.21/2.31  % (2433652)Peak memory usage: 94 MB
% 0.21/2.31  % (2433652)Instructions burned: 181 (million)
% 0.21/2.31  % (2433653)Instruction limit reached! 
% 0.21/2.31  % (2433653)------------------------------
% 0.21/2.31  % (2433653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.31  % (2433653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.31  % (2433653)CaDiCaL version: 2.1.3
% 0.21/2.31  % (2433653)Termination reason: Instruction limit
% 0.21/2.31  % (2433653)Termination phase: Saturation
% 0.21/2.31  % (2433653)Time elapsed: 0.267 s
% 0.21/2.31  % (2433653)Peak memory usage: 100 MB
% 0.21/2.31  % (2433653)Instructions burned: 257 (million)
% 0.21/2.31  % (2433662)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1281207922:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2992 on theBenchmark for (2992ds/2051Mi)
% 0.21/2.31  % (2433654)Refutation found. Thanks to Tanya!
% 0.21/2.31  % SZS status Unsatisfiable for theBenchmark
% 0.21/2.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/2.31  % (2433654)------------------------------
% 0.21/2.31  % (2433654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.31  % (2433654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.31  % (2433654)CaDiCaL version: 2.1.3
% 0.21/2.31  % (2433654)Termination reason: Refutation
% 0.21/2.31  % (2433654)Time elapsed: 0.036 s
% 0.21/2.31  % (2433654)Peak memory usage: 94 MB
% 0.21/2.31  % (2433654)Instructions burned: 32 (million)
% 0.21/2.31  % (2433654)------------------------------
% 0.21/2.31  % (2433654)------------------------------
% 0.21/2.31  % (2433643)Success in time 1.073 s
% 0.21/2.31  % Vampire exiting
%------------------------------------------------------------------------------