%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n006.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 12:35:10 PM UTC 2026
% Result : Unsatisfiable 3.04s 1.32s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 57 unt; 1 def)
% Number of atoms : 57 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 20 ( 20 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f3,axiom,
! [X0] : multiply(additive_identity,X0) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_multiplicative_zero) ).
fof(f4,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : multiply(X0,additive_identity) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_zero) ).
fof(f6,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f8,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f10,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute2) ).
fof(f14,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f15,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',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(f23,definition,
~ sP0(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))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f24,plain,
sP0(additive_identity),
inference(inequality_splitting,[],[f22,f23]) ).
fof(f25,plain,
~ sP0(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(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(backward_demodulation,[],[f23,f15]) ).
fof(f26,plain,
~ sP0(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(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(forward_demodulation,[],[f25,f15]) ).
fof(f27,plain,
~ sP0(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(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(forward_demodulation,[],[f26,f15]) ).
fof(f28,plain,
~ sP0(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(add(multiply(multiply(a,multiply(b,c)),d),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),additive_inverse(multiply(a,multiply(b,c)))),d))))))))),
inference(forward_demodulation,[],[f27,f15]) ).
fof(f29,plain,
~ sP0(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(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),additive_inverse(multiply(a,multiply(b,c)))),d)))))))))),
inference(forward_demodulation,[],[f28,f15]) ).
fof(f30,plain,
~ sP0(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(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))))),add(multiply(multiply(multiply(a,b),c),d),multiply(additive_inverse(multiply(a,multiply(b,c))),d))))))))))),
inference(forward_demodulation,[],[f29,f13]) ).
fof(f31,plain,
~ sP0(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(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(add(multiply(a,multiply(multiply(b,c),d)),multiply(a,additive_inverse(multiply(b,multiply(c,d))))),add(multiply(multiply(multiply(a,b),c),d),multiply(additive_inverse(multiply(a,multiply(b,c))),d))))))))))),
inference(forward_demodulation,[],[f30,f12]) ).
fof(f32,plain,
~ sP0(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(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,multiply(multiply(b,c),d)),add(multiply(a,additive_inverse(multiply(b,multiply(c,d)))),add(multiply(multiply(multiply(a,b),c),d),multiply(additive_inverse(multiply(a,multiply(b,c))),d)))))))))))),
inference(forward_demodulation,[],[f31,f15]) ).
fof(f55,plain,
~ sP0(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(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,multiply(multiply(b,c),d)),add(multiply(a,additive_inverse(multiply(b,multiply(c,d)))),add(multiply(additive_inverse(multiply(a,multiply(b,c))),d),multiply(multiply(multiply(a,b),c),d)))))))))))),
inference(superposition,[],[f32,f14]) ).
fof(f57,plain,
! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1)),
inference(superposition,[],[f15,f10]) ).
fof(f62,plain,
! [X0,X1] : add(additive_identity,X1) = add(additive_inverse(X0),add(X0,X1)),
inference(superposition,[],[f15,f8]) ).
fof(f68,plain,
! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))),
inference(superposition,[],[f10,f15]) ).
fof(f71,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[],[f62,f1]) ).
fof(f73,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f57,f1]) ).
fof(f75,plain,
~ sP0(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(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,multiply(multiply(b,c),d)),add(multiply(a,additive_inverse(multiply(b,multiply(c,d)))),add(multiply(additive_inverse(multiply(a,multiply(b,c))),d),multiply(multiply(multiply(a,b),c),d)))))))))),
inference(backward_demodulation,[],[f55,f71]) ).
fof(f77,plain,
~ sP0(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(multiply(a,additive_inverse(multiply(b,multiply(c,d)))),add(multiply(additive_inverse(multiply(a,multiply(b,c))),d),multiply(multiply(multiply(a,b),c),d)))))))),
inference(forward_demodulation,[],[f75,f71]) ).
fof(f108,plain,
! [X0,X1] : add(additive_inverse(X1),add(X0,X1)) = X0,
inference(superposition,[],[f71,f14]) ).
fof(f124,plain,
! [X0,X1] : multiply(X0,additive_identity) = add(multiply(X0,additive_inverse(X1)),multiply(X0,X1)),
inference(superposition,[],[f12,f8]) ).
fof(f143,plain,
! [X0,X1] : additive_identity = add(multiply(X0,additive_inverse(X1)),multiply(X0,X1)),
inference(forward_demodulation,[],[f124,f6]) ).
fof(f208,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(superposition,[],[f73,f14]) ).
fof(f231,plain,
! [X0,X1] : multiply(additive_identity,X1) = add(multiply(additive_inverse(X0),X1),multiply(X0,X1)),
inference(superposition,[],[f13,f8]) ).
fof(f246,plain,
! [X0,X1] : additive_identity = add(multiply(additive_inverse(X0),X1),multiply(X0,X1)),
inference(forward_demodulation,[],[f231,f4]) ).
fof(f328,plain,
! [X0,X1] : add(X1,additive_inverse(add(X0,X1))) = add(additive_inverse(X0),additive_identity),
inference(superposition,[],[f71,f68]) ).
fof(f339,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(forward_demodulation,[],[f328,f2]) ).
fof(f380,plain,
! [X2,X0,X1] : add(X0,X2) = add(X1,add(add(X0,additive_inverse(X1)),X2)),
inference(superposition,[],[f15,f208]) ).
fof(f390,plain,
! [X2,X0,X1] : add(X0,X2) = add(X1,add(X0,add(additive_inverse(X1),X2))),
inference(forward_demodulation,[],[f380,f15]) ).
fof(f416,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = add(additive_inverse(multiply(X0,X1)),additive_identity),
inference(superposition,[],[f108,f143]) ).
fof(f417,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(forward_demodulation,[],[f416,f2]) ).
fof(f441,plain,
~ sP0(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(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(additive_inverse(multiply(a,multiply(b,c))),d),multiply(multiply(multiply(a,b),c),d)))))))),
inference(backward_demodulation,[],[f77,f417]) ).
fof(f470,plain,
! [X0,X1] : additive_inverse(X1) = add(X0,additive_inverse(add(X0,X1))),
inference(superposition,[],[f339,f14]) ).
fof(f534,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = add(additive_inverse(multiply(X0,X1)),additive_identity),
inference(superposition,[],[f108,f246]) ).
fof(f537,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f534,f2]) ).
fof(f561,plain,
~ sP0(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(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(additive_inverse(multiply(multiply(a,multiply(b,c)),d)),multiply(multiply(multiply(a,b),c),d)))))))),
inference(backward_demodulation,[],[f441,f537]) ).
fof(f570,plain,
~ sP0(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(b,multiply(c,d)))),multiply(multiply(multiply(a,b),c),d)))))),
inference(forward_demodulation,[],[f561,f390]) ).
fof(f582,plain,
~ sP0(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(multiply(a,b),c),d)))),
inference(forward_demodulation,[],[f570,f470]) ).
fof(f588,plain,
~ sP0(additive_identity),
inference(forward_demodulation,[],[f582,f10]) ).
fof(f593,plain,
$false,
inference(forward_subsumption_resolution,[],[f588,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG026-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n006.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 22:59:26 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 3.04/1.32 % (3427701)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.04/1.32 % (3427708)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1375467207:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.04/1.32 % (3427710)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1310644983:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.04/1.32 % (3427709)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=822607043:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.04/1.32 % (3427707)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=3359563242:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.04/1.32 % (3427712)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2800649900:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.04/1.32 % (3427706)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=163244014:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.04/1.32 % (3427711)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2211459692:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.04/1.32 % (3427710)Refutation not found, incomplete strategy
% 3.04/1.32 % (3427710)------------------------------
% 3.04/1.32 % (3427710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.32 % (3427710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.32 % (3427710)CaDiCaL version: 2.1.3
% 3.04/1.32 % (3427710)Termination reason: Refutation not found, incomplete strategy
% 3.04/1.32 % (3427710)Time elapsed: 0.002 s
% 3.04/1.32 % (3427710)Peak memory usage: 88 MB
% 3.04/1.32 % (3427710)Instructions burned: 2 (million)
% 3.04/1.32 % (3427709)First to succeed.
% 3.04/1.32 % (3427709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3427701"
% 3.04/1.32 % (3427711)Also succeeded, but the first one will report.
% 3.04/1.32 % (3427710)------------------------------
% 3.04/1.32 % (3427710)------------------------------
% 3.04/1.32 % (3427709)Refutation found. Thanks to Tanya!
% 3.04/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.04/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.41 % (3427709)------------------------------
% 3.68/1.41 % (3427709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.41 % (3427709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.41 % (3427709)CaDiCaL version: 2.1.3
% 3.68/1.41 % (3427709)Termination reason: Refutation
% 3.68/1.41 % (3427709)Time elapsed: 0.019 s
% 3.68/1.41 % (3427709)Peak memory usage: 88 MB
% 3.68/1.41 % (3427709)Instructions burned: 30 (million)
% 3.68/1.41 % (3427709)------------------------------
% 3.68/1.41 % (3427709)------------------------------
% 3.68/1.41 % (3427701)Success in time 0.443 s
% 3.68/1.41 % Vampire exiting
%------------------------------------------------------------------------------