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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : RNG026-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n004.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 12:35:46 PM UTC 2026

% Result   : Unsatisfiable 0.31s 0.64s
% Output   : Refutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   63 (  63 unt;   0 def)
%            Number of atoms       :   63 (  62 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   27 (  27   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   14 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   83 (  83   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_identity) ).

fof(f2,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_identity) ).

fof(f5,axiom,
    ! [X0] : multiply(X0,additive_identity) = additive_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_multiplicative_zero) ).

fof(f6,plain,
    ! [X0] : additive_identity = multiply(X0,additive_identity),
    inference(reorient_equations,[],[f5]) ).

fof(f9,axiom,
    ! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_inverse) ).

fof(f10,plain,
    ! [X0] : additive_identity = add(X0,additive_inverse(X0)),
    inference(reorient_equations,[],[f9]) ).

fof(f11,axiom,
    ! [X0] : additive_inverse(additive_inverse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',additive_inverse_additive_inverse) ).

fof(f12,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute1) ).

fof(f13,axiom,
    ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute2) ).

fof(f14,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',commutativity_for_addition) ).

fof(f15,axiom,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associativity_for_addition) ).

fof(f18,axiom,
    ! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associator) ).

fof(f20,negated_conjecture,
    add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) != additive_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_teichmuller_identity) ).

fof(f21,plain,
    additive_identity != add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))),
    inference(reorient_equations,[],[f20]) ).

fof(f22,plain,
    additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(add(add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))),
    inference(definition_unfolding,[],[f21,f18,f18,f18,f18,f18]) ).

fof(f26,plain,
    additive_identity = additive_inverse(additive_identity),
    inference(superposition,[],[f1,f10]) ).

fof(f43,plain,
    additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),add(add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))))))),
    inference(superposition,[],[f22,f14]) ).

fof(f44,plain,
    additive_identity != add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d))))),additive_inverse(add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),add(add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))))))),
    inference(forward_demodulation,[],[f43,f15]) ).

fof(f50,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d))))),additive_inverse(add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),add(add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))))))))),
    inference(forward_demodulation,[],[f44,f15]) ).

fof(f56,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),add(add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))))))))),
    inference(forward_demodulation,[],[f50,f15]) ).

fof(f62,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))))))))))),
    inference(forward_demodulation,[],[f56,f15]) ).

fof(f74,plain,
    ! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1)),
    inference(superposition,[],[f15,f10]) ).

fof(f76,plain,
    ! [X2,X0,X1] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
    inference(superposition,[],[f15,f14]) ).

fof(f87,plain,
    ! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))),
    inference(superposition,[],[f10,f15]) ).

fof(f89,plain,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
    inference(superposition,[],[f14,f15]) ).

fof(f95,plain,
    ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f74,f1]) ).

fof(f166,plain,
    ! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
    inference(superposition,[],[f95,f14]) ).

fof(f199,plain,
    ! [X2,X0,X1] : add(X0,X2) = add(X1,add(add(X0,additive_inverse(X1)),X2)),
    inference(superposition,[],[f15,f166]) ).

fof(f205,plain,
    ! [X2,X0,X1] : add(X0,X2) = add(X1,add(X0,add(additive_inverse(X1),X2))),
    inference(forward_demodulation,[],[f199,f15]) ).

fof(f232,plain,
    ! [X2,X3,X0,X1] : add(multiply(X0,X1),add(multiply(X0,X2),X3)) = add(multiply(X0,add(X1,X2)),X3),
    inference(superposition,[],[f15,f12]) ).

fof(f291,plain,
    ! [X0,X1] : add(X0,additive_identity) = add(X1,additive_inverse(add(additive_inverse(X0),X1))),
    inference(superposition,[],[f95,f87]) ).

fof(f292,plain,
    ! [X0,X1] : add(X1,additive_inverse(add(additive_inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f291,f2]) ).

fof(f322,plain,
    ! [X2,X3,X0,X1] : add(add(X0,add(X1,X2)),X3) = add(X2,add(add(X0,X1),X3)),
    inference(superposition,[],[f76,f15]) ).

fof(f359,plain,
    ! [X2,X3,X0,X1] : add(add(X0,add(X1,X2)),X3) = add(X2,add(X0,add(X1,X3))),
    inference(forward_demodulation,[],[f322,f15]) ).

fof(f370,plain,
    ! [X2,X3,X0,X1] : add(X0,add(add(X1,X2),X3)) = add(X2,add(X0,add(X1,X3))),
    inference(forward_demodulation,[],[f359,f15]) ).

fof(f380,plain,
    ! [X2,X3,X0,X1] : add(X0,add(X1,add(X2,X3))) = add(X2,add(X0,add(X1,X3))),
    inference(forward_demodulation,[],[f370,f15]) ).

fof(f430,plain,
    ! [X2,X3,X0,X1] : add(multiply(X1,X2),add(X3,multiply(X0,X2))) = add(X3,multiply(add(X0,X1),X2)),
    inference(superposition,[],[f89,f13]) ).

fof(f482,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))))))),
    inference(superposition,[],[f62,f89]) ).

fof(f492,plain,
    additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))))))),
    inference(forward_demodulation,[],[f482,f380]) ).

fof(f534,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))))),
    inference(forward_demodulation,[],[f492,f205]) ).

fof(f553,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(add(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),multiply(a,multiply(b,c))),d))))),
    inference(forward_demodulation,[],[f534,f430]) ).

fof(f564,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),multiply(a,multiply(b,c))),d)))))),
    inference(forward_demodulation,[],[f553,f15]) ).

fof(f569,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),add(additive_inverse(multiply(a,multiply(b,c))),multiply(a,multiply(b,c)))),d)))))),
    inference(forward_demodulation,[],[f564,f15]) ).

fof(f574,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d)))))),
    inference(forward_demodulation,[],[f569,f89]) ).

fof(f579,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(multiply(multiply(a,b),c),d)))))),
    inference(forward_demodulation,[],[f574,f166]) ).

fof(f584,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))))))),
    inference(forward_demodulation,[],[f579,f89]) ).

fof(f644,plain,
    ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
    inference(superposition,[],[f292,f11]) ).

fof(f669,plain,
    ! [X0,X1] : add(X1,X0) = additive_inverse(add(additive_inverse(X0),additive_inverse(X1))),
    inference(superposition,[],[f95,f292]) ).

fof(f744,plain,
    ! [X0,X1] : additive_inverse(X1) = add(X0,additive_inverse(add(X0,X1))),
    inference(superposition,[],[f644,f14]) ).

fof(f981,plain,
    ! [X0,X1] : add(X1,additive_inverse(X0)) = additive_inverse(add(additive_inverse(X1),X0)),
    inference(superposition,[],[f95,f744]) ).

fof(f1238,plain,
    ! [X2,X3,X0,X1] : additive_inverse(add(multiply(X0,X2),X3)) = add(multiply(X0,X1),additive_inverse(add(multiply(X0,add(X1,X2)),X3))),
    inference(superposition,[],[f744,f232]) ).

fof(f1328,plain,
    ! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X1),additive_inverse(X0)),
    inference(superposition,[],[f11,f669]) ).

fof(f1785,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))))),multiply(a,multiply(b,multiply(c,d)))))),
    inference(superposition,[],[f584,f1328]) ).

fof(f1827,plain,
    additive_identity != add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),add(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(a,multiply(b,multiply(c,d))))))),
    inference(forward_demodulation,[],[f1785,f15]) ).

fof(f1858,plain,
    additive_identity != additive_inverse(add(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(a,multiply(b,multiply(c,d))))),
    inference(forward_demodulation,[],[f1827,f744]) ).

fof(f1884,plain,
    additive_identity != additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(a,multiply(b,multiply(c,d)))))),
    inference(forward_demodulation,[],[f1858,f15]) ).

fof(f1898,plain,
    additive_identity != add(multiply(a,multiply(multiply(b,c),d)),additive_inverse(add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(a,multiply(b,multiply(c,d)))))),
    inference(forward_demodulation,[],[f1884,f981]) ).

fof(f1907,plain,
    additive_identity != additive_inverse(add(multiply(a,additive_inverse(multiply(b,multiply(c,d)))),multiply(a,multiply(b,multiply(c,d))))),
    inference(forward_demodulation,[],[f1898,f1238]) ).

fof(f1914,plain,
    additive_identity != additive_inverse(add(multiply(a,multiply(b,multiply(c,d))),multiply(a,additive_inverse(multiply(b,multiply(c,d)))))),
    inference(forward_demodulation,[],[f1907,f14]) ).

fof(f1919,plain,
    additive_identity != additive_inverse(multiply(a,add(multiply(b,multiply(c,d)),additive_inverse(multiply(b,multiply(c,d)))))),
    inference(forward_demodulation,[],[f1914,f12]) ).

fof(f1923,plain,
    additive_identity != additive_inverse(multiply(a,additive_identity)),
    inference(forward_demodulation,[],[f1919,f10]) ).

fof(f1926,plain,
    additive_identity != additive_inverse(additive_identity),
    inference(forward_demodulation,[],[f1923,f6]) ).

fof(f1929,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1926,f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : RNG026-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.49  % Computer : n004.cluster.edu
% 0.22/0.49  % Model    : x86_64 x86_64
% 0.22/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49  % Memory   : 8046.5625MB
% 0.22/0.49  % OS       : Linux 6.8.0-71-generic
% 0.22/0.49  % CPULimit : 300
% 0.22/0.49  % WCLimit  : 300
% 0.22/0.49  % DateTime : Sun Sep 27 22:59:37 UTC 2026
% 0.22/0.49  % CPUTime  : 
% 0.22/0.49  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.27/0.55  Running first-order model finding
% 0.27/0.55  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/0.64  % (3984786)Will run a generic schedule for satisfiability detection.
% 0.31/0.64  % (3984795)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3632585547:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.31/0.64  % (3984792)% WARNING: option uhcvi not known.
% 0.31/0.64  % (3984792)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2092597899:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.31/0.64  % (3984791)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2825391271_2999 on theBenchmark for (2999ds/0Mi)
% 0.31/0.64  % (3984794)dis+10_1_sil=32000:sp=arity:random_seed=3459808071:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.31/0.64  % (3984793)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3016954682:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.31/0.64  % (3984797)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=549327096:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.31/0.64  % (3984796)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3772884104:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.31/0.64  % TRYING [1]
% 0.31/0.64  % TRYING [2]
% 0.31/0.64  % TRYING [3]
% 0.31/0.64  % (3984795) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3984786-3984795"...
% 0.31/0.64  % (3984795)...printing done.
% 0.31/0.64  % (3984795)Refutation found. Thanks to Tanya!
% 0.31/0.64  % SZS status Unsatisfiable for theBenchmark
% 0.31/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 0.31/0.64  % (3984795)------------------------------
% 0.31/0.64  % (3984795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.64  % (3984795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.64  % (3984795)CaDiCaL version: 2.1.3
% 0.31/0.64  % (3984795)Termination reason: Refutation
% 0.31/0.64  % (3984795)Time elapsed: 0.041 s
% 0.31/0.64  % (3984795)Peak memory usage: 12 MB
% 0.31/0.64  % (3984795)Instructions burned: 81 (million)
% 0.31/0.64  % (3984786)Success in time 0.077 s
% 0.31/0.64  % Vampire exiting
%------------------------------------------------------------------------------