%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG034-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:35:14 PM UTC 2026
% Result : Unsatisfiable 18.60s 3.55s
% Output : Refutation 19.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 78 unt; 0 def)
% Number of atoms : 104 ( 103 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 21 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 222 ( 222 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f6,axiom,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_inverse) ).
fof(f7,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X0),additive_inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_of_inverses) ).
fof(f9,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f10,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_over_add1) ).
fof(f11,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_over_add2) ).
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_alternative) ).
fof(f19,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f20,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f21,axiom,
! [X2,X0,X1] :
( add(X0,X1) != add(X2,X1)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation_for_addition) ).
fof(f23,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associator) ).
fof(f24,negated_conjecture,
associator(cy,cx,cz) != additive_inverse(associator(cx,cy,cz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_skew_symmetry) ).
fof(f25,plain,
add(multiply(multiply(cy,cx),cz),additive_inverse(multiply(cy,multiply(cx,cz)))) != additive_inverse(add(multiply(multiply(cx,cy),cz),additive_inverse(multiply(cx,multiply(cy,cz))))),
inference(definition_unfolding,[],[f24,f23,f23]) ).
fof(f26,plain,
add(multiply(multiply(cy,cx),cz),additive_inverse(multiply(cy,multiply(cx,cz)))) != additive_inverse(add(additive_inverse(multiply(cx,multiply(cy,cz))),multiply(multiply(cx,cy),cz))),
inference(backward_demodulation,[],[f25,f19]) ).
fof(f27,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(forward_demodulation,[],[f7,f19]) ).
fof(f28,plain,
additive_inverse(add(additive_inverse(multiply(cx,multiply(cy,cz))),multiply(multiply(cx,cy),cz))) != add(additive_inverse(multiply(cy,multiply(cx,cz))),multiply(multiply(cy,cx),cz)),
inference(forward_demodulation,[],[f26,f19]) ).
fof(f60,plain,
! [X0,X1] : additive_inverse(add(X1,additive_inverse(X0))) = add(additive_inverse(X1),X0),
inference(superposition,[],[f8,f9]) ).
fof(f67,plain,
additive_inverse(add(additive_inverse(multiply(cx,multiply(cy,cz))),multiply(multiply(cx,cy),cz))) != additive_inverse(add(multiply(cy,multiply(cx,cz)),additive_inverse(multiply(multiply(cy,cx),cz)))),
inference(backward_demodulation,[],[f28,f60]) ).
fof(f71,plain,
additive_inverse(add(multiply(cy,multiply(cx,cz)),additive_inverse(multiply(multiply(cy,cx),cz)))) != additive_inverse(additive_inverse(add(multiply(cx,multiply(cy,cz)),additive_inverse(multiply(multiply(cx,cy),cz))))),
inference(forward_demodulation,[],[f67,f60]) ).
fof(f74,plain,
additive_inverse(add(multiply(cy,multiply(cx,cz)),additive_inverse(multiply(multiply(cy,cx),cz)))) != add(multiply(cx,multiply(cy,cz)),additive_inverse(multiply(multiply(cx,cy),cz))),
inference(forward_demodulation,[],[f71,f9]) ).
fof(f80,plain,
! [X0,X1] :
( add(X0,X1) != X1
| additive_identity = X0 ),
inference(superposition,[],[f21,f1]) ).
fof(f81,plain,
! [X0,X1] :
( additive_identity != add(X1,additive_inverse(X0))
| X0 = X1 ),
inference(superposition,[],[f21,f27]) ).
fof(f97,plain,
! [X0,X1] :
( additive_identity != add(X1,X0)
| additive_inverse(X0) = X1 ),
inference(superposition,[],[f81,f9]) ).
fof(f108,plain,
! [X0,X1] :
( additive_identity != add(X0,X1)
| additive_inverse(X0) = X1 ),
inference(superposition,[],[f97,f19]) ).
fof(f135,plain,
! [X0,X1] : add(X0,additive_inverse(X1)) = additive_inverse(add(X1,additive_inverse(X0))),
inference(superposition,[],[f19,f60]) ).
fof(f169,plain,
! [X2,X0,X1] : additive_inverse(add(add(X1,additive_inverse(X0)),additive_inverse(X2))) = add(X2,add(X0,additive_inverse(X1))),
inference(superposition,[],[f135,f135]) ).
fof(f197,plain,
! [X0,X1] : additive_identity = add(add(X1,additive_inverse(X0)),add(X0,additive_inverse(X1))),
inference(superposition,[],[f27,f135]) ).
fof(f198,plain,
! [X2,X0,X1] : additive_inverse(add(add(X1,additive_inverse(X0)),additive_inverse(X2))) = add(add(X0,additive_inverse(X1)),X2),
inference(superposition,[],[f60,f135]) ).
fof(f201,plain,
! [X2,X0,X1] : additive_inverse(add(add(X1,additive_inverse(X0)),additive_inverse(X2))) = add(X0,add(additive_inverse(X1),X2)),
inference(forward_demodulation,[],[f198,f20]) ).
fof(f202,plain,
! [X0,X1] : additive_identity = add(X1,add(additive_inverse(X0),add(X0,additive_inverse(X1)))),
inference(forward_demodulation,[],[f197,f20]) ).
fof(f216,plain,
! [X2,X0,X1] : add(X2,add(X0,additive_inverse(X1))) = additive_inverse(add(X1,add(additive_inverse(X0),additive_inverse(X2)))),
inference(forward_demodulation,[],[f169,f20]) ).
fof(f219,plain,
! [X2,X0,X1] : additive_inverse(add(add(X1,additive_inverse(X0)),additive_inverse(X2))) = add(X0,additive_inverse(add(X1,additive_inverse(X2)))),
inference(forward_demodulation,[],[f201,f60]) ).
fof(f220,plain,
! [X0,X1] : additive_identity = add(X1,additive_inverse(add(X0,additive_inverse(add(X0,additive_inverse(X1)))))),
inference(forward_demodulation,[],[f202,f60]) ).
fof(f227,plain,
! [X2,X0,X1] : add(X2,add(X0,additive_inverse(X1))) = additive_inverse(add(X1,additive_inverse(add(X0,additive_inverse(additive_inverse(X2)))))),
inference(forward_demodulation,[],[f216,f60]) ).
fof(f230,plain,
! [X2,X0,X1] : additive_inverse(add(X1,add(additive_inverse(X0),additive_inverse(X2)))) = add(X0,additive_inverse(add(X1,additive_inverse(X2)))),
inference(forward_demodulation,[],[f219,f20]) ).
fof(f234,plain,
! [X2,X0,X1] : add(X2,add(X0,additive_inverse(X1))) = additive_inverse(add(X1,additive_inverse(add(X0,X2)))),
inference(forward_demodulation,[],[f227,f9]) ).
fof(f236,plain,
! [X2,X0,X1] : add(X0,additive_inverse(add(X1,additive_inverse(X2)))) = additive_inverse(add(X1,additive_inverse(add(X0,additive_inverse(additive_inverse(X2)))))),
inference(forward_demodulation,[],[f230,f60]) ).
fof(f239,plain,
! [X2,X0,X1] : add(X0,additive_inverse(add(X1,additive_inverse(X2)))) = additive_inverse(add(X1,additive_inverse(add(X0,X2)))),
inference(forward_demodulation,[],[f236,f9]) ).
fof(f240,plain,
! [X0,X1] : additive_identity = add(X1,additive_inverse(additive_inverse(add(X0,additive_inverse(add(X0,X1)))))),
inference(backward_demodulation,[],[f220,f239]) ).
fof(f241,plain,
! [X0,X1] : additive_identity = add(X1,add(X0,additive_inverse(add(X0,X1)))),
inference(forward_demodulation,[],[f240,f9]) ).
fof(f291,plain,
! [X0,X1] :
( additive_identity != additive_identity
| additive_inverse(X1) = add(X0,additive_inverse(add(X0,X1))) ),
inference(superposition,[],[f108,f241]) ).
fof(f293,plain,
! [X0,X1] : additive_inverse(X1) = add(X0,additive_inverse(add(X0,X1))),
inference(trivial_inequality_removal,[],[f291]) ).
fof(f337,plain,
! [X0,X1] : additive_inverse(X1) = add(X0,additive_inverse(add(X1,X0))),
inference(superposition,[],[f293,f19]) ).
fof(f536,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(superposition,[],[f20,f19]) ).
fof(f553,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(superposition,[],[f19,f20]) ).
fof(f557,plain,
! [X2,X0,X1] :
( add(X1,add(X2,X0)) != X0
| additive_identity = add(X1,X2) ),
inference(superposition,[],[f80,f20]) ).
fof(f579,plain,
! [X2,X0,X1] :
( add(X1,add(X2,X0)) != X0
| additive_inverse(X2) = X1 ),
inference(forward_literal_rewriting,[],[f557,f97]) ).
fof(f626,plain,
! [X2,X0,X1] : add(X2,add(X1,X0)) = add(X1,add(X2,X0)),
inference(superposition,[],[f20,f536]) ).
fof(f682,plain,
! [X2,X3,X0,X1] : add(X3,add(X2,add(X0,X1))) = add(add(X2,X0),add(X3,X1)),
inference(superposition,[],[f553,f553]) ).
fof(f748,plain,
! [X2,X3,X0,X1] : add(X3,add(X2,add(X0,X1))) = add(X2,add(X0,add(X3,X1))),
inference(forward_demodulation,[],[f682,f20]) ).
fof(f789,plain,
! [X2,X0,X1] :
( add(X2,add(X0,X1)) != X0
| additive_inverse(X1) = X2 ),
inference(superposition,[],[f579,f19]) ).
fof(f842,plain,
! [X2,X3,X0,X1] : add(X3,add(X2,add(X0,X1))) = add(X1,add(X3,add(X2,X0))),
inference(superposition,[],[f626,f553]) ).
fof(f893,plain,
! [X2,X0,X1] : additive_inverse(add(X0,X1)) = add(X2,additive_inverse(add(X0,add(X2,X1)))),
inference(superposition,[],[f293,f626]) ).
fof(f1021,plain,
! [X2,X0,X1] :
( add(X2,additive_inverse(X1)) != X0
| additive_inverse(additive_inverse(add(X0,X1))) = X2 ),
inference(superposition,[],[f789,f293]) ).
fof(f1043,plain,
! [X2,X0,X1] :
( add(X2,additive_inverse(X1)) != X0
| add(X0,X1) = X2 ),
inference(forward_demodulation,[],[f1021,f9]) ).
fof(f1082,plain,
! [X2,X0,X1] :
( add(X1,X0) != X2
| add(X2,additive_inverse(X0)) = X1 ),
inference(superposition,[],[f1043,f9]) ).
fof(f1132,plain,
! [X2,X0,X1] :
( add(X0,X1) != X2
| add(X2,additive_inverse(X0)) = X1 ),
inference(superposition,[],[f1082,f19]) ).
fof(f1291,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = multiply(add(multiply(add(X1,X0),X1),multiply(add(X1,X0),X0)),X2),
inference(superposition,[],[f13,f10]) ).
fof(f1298,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(multiply(add(X1,X0),X1),X2),multiply(multiply(add(X1,X0),X0),X2)),
inference(forward_demodulation,[],[f1291,f11]) ).
fof(f1318,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(multiply(add(X1,X0),X1),X2),multiply(add(multiply(X1,X0),multiply(X0,X0)),X2)),
inference(forward_demodulation,[],[f1298,f11]) ).
fof(f1336,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(add(multiply(X1,X0),multiply(X0,X0)),X2),multiply(multiply(add(X1,X0),X1),X2)),
inference(forward_demodulation,[],[f1318,f19]) ).
fof(f1352,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(add(multiply(X1,X0),multiply(X0,X0)),X2),multiply(add(multiply(X1,X1),multiply(X0,X1)),X2)),
inference(forward_demodulation,[],[f1336,f11]) ).
fof(f1358,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(add(multiply(X1,X0),multiply(X0,X0)),X2),add(multiply(multiply(X1,X1),X2),multiply(multiply(X0,X1),X2))),
inference(forward_demodulation,[],[f1352,f11]) ).
fof(f1361,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(add(multiply(X1,X0),multiply(X0,X0)),X2),add(multiply(X1,multiply(X1,X2)),multiply(multiply(X0,X1),X2))),
inference(forward_demodulation,[],[f1358,f13]) ).
fof(f1364,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(X1,multiply(X1,X2)),add(multiply(add(multiply(X1,X0),multiply(X0,X0)),X2),multiply(multiply(X0,X1),X2))),
inference(forward_demodulation,[],[f1361,f626]) ).
fof(f1367,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(X1,multiply(X1,X2)),add(add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X0),X2)),multiply(multiply(X0,X1),X2))),
inference(forward_demodulation,[],[f1364,f11]) ).
fof(f1370,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),add(multiply(multiply(X0,X0),X2),multiply(multiply(X0,X1),X2)))),
inference(forward_demodulation,[],[f1367,f20]) ).
fof(f1373,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),add(multiply(X0,multiply(X0,X2)),multiply(multiply(X0,X1),X2)))),
inference(forward_demodulation,[],[f1370,f13]) ).
fof(f1376,plain,
! [X2,X0,X1] : multiply(add(X1,X0),multiply(add(X1,X0),X2)) = add(multiply(X0,multiply(X0,X2)),add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)))),
inference(forward_demodulation,[],[f1373,f748]) ).
fof(f1379,plain,
! [X2,X0,X1] : add(multiply(X0,multiply(X0,X2)),add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)))) = add(multiply(X1,multiply(add(X1,X0),X2)),multiply(X0,multiply(add(X1,X0),X2))),
inference(forward_demodulation,[],[f1376,f11]) ).
fof(f1382,plain,
! [X2,X0,X1] : add(multiply(X0,multiply(X0,X2)),add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)))) = add(multiply(X1,add(multiply(X1,X2),multiply(X0,X2))),multiply(X0,add(multiply(X1,X2),multiply(X0,X2)))),
inference(forward_demodulation,[],[f1379,f11]) ).
fof(f1385,plain,
! [X2,X0,X1] : add(multiply(X0,multiply(X0,X2)),add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)))) = add(multiply(X1,add(multiply(X1,X2),multiply(X0,X2))),add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X0,X2)))),
inference(forward_demodulation,[],[f1382,f10]) ).
fof(f1388,plain,
! [X2,X0,X1] : add(multiply(X0,multiply(X0,X2)),add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)))) = add(add(multiply(X1,multiply(X1,X2)),multiply(X1,multiply(X0,X2))),add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X0,X2)))),
inference(forward_demodulation,[],[f1385,f10]) ).
fof(f1391,plain,
! [X2,X0,X1] : add(multiply(X0,multiply(X0,X2)),add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)))) = add(multiply(X1,multiply(X1,X2)),add(multiply(X1,multiply(X0,X2)),add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X0,X2))))),
inference(forward_demodulation,[],[f1388,f20]) ).
fof(f1393,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2))) = add(add(multiply(X1,multiply(X1,X2)),add(multiply(X1,multiply(X0,X2)),add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X0,X2))))),additive_inverse(multiply(X0,multiply(X0,X2)))),
inference(forward_literal_rewriting,[],[f1391,f1132]) ).
fof(f1394,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2))) = add(multiply(X1,multiply(X1,X2)),add(add(multiply(X1,multiply(X0,X2)),add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X0,X2)))),additive_inverse(multiply(X0,multiply(X0,X2))))),
inference(forward_demodulation,[],[f1393,f20]) ).
fof(f1395,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2))) = add(multiply(X1,multiply(X1,X2)),add(multiply(X1,multiply(X0,X2)),add(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X0,X2))),additive_inverse(multiply(X0,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f1394,f20]) ).
fof(f1396,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2))) = add(multiply(X1,multiply(X1,X2)),add(multiply(X1,multiply(X0,X2)),add(multiply(X0,multiply(X1,X2)),add(multiply(X0,multiply(X0,X2)),additive_inverse(multiply(X0,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f1395,f20]) ).
fof(f1397,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2))) = add(multiply(X1,multiply(X1,X2)),add(multiply(X1,multiply(X0,X2)),add(multiply(X0,multiply(X1,X2)),additive_identity))),
inference(forward_demodulation,[],[f1396,f27]) ).
fof(f1398,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2))) = add(additive_identity,add(multiply(X1,multiply(X1,X2)),add(multiply(X1,multiply(X0,X2)),multiply(X0,multiply(X1,X2))))),
inference(forward_demodulation,[],[f1397,f842]) ).
fof(f1399,plain,
! [X2,X0,X1] : add(multiply(X1,multiply(X1,X2)),add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2))) = add(multiply(X1,multiply(X1,X2)),add(multiply(X1,multiply(X0,X2)),multiply(X0,multiply(X1,X2)))),
inference(forward_demodulation,[],[f1398,f1]) ).
fof(f1400,plain,
! [X2,X0,X1] : add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)) = add(add(multiply(X1,multiply(X1,X2)),add(multiply(X1,multiply(X0,X2)),multiply(X0,multiply(X1,X2)))),additive_inverse(multiply(X1,multiply(X1,X2)))),
inference(forward_literal_rewriting,[],[f1399,f1132]) ).
fof(f1401,plain,
! [X2,X0,X1] : add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)) = add(multiply(X1,multiply(X1,X2)),add(add(multiply(X1,multiply(X0,X2)),multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X1,multiply(X1,X2))))),
inference(forward_demodulation,[],[f1400,f20]) ).
fof(f1402,plain,
! [X2,X0,X1] : add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)) = additive_inverse(add(multiply(X1,multiply(X1,X2)),additive_inverse(add(add(multiply(X1,multiply(X0,X2)),multiply(X0,multiply(X1,X2))),multiply(X1,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1401,f234]) ).
fof(f1403,plain,
! [X2,X0,X1] : add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)) = additive_inverse(additive_inverse(add(multiply(X1,multiply(X0,X2)),multiply(X0,multiply(X1,X2))))),
inference(forward_demodulation,[],[f1402,f337]) ).
fof(f1404,plain,
! [X2,X0,X1] : add(multiply(multiply(X1,X0),X2),multiply(multiply(X0,X1),X2)) = add(multiply(X1,multiply(X0,X2)),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f1403,f9]) ).
fof(f1405,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(add(multiply(X1,multiply(X0,X2)),multiply(X0,multiply(X1,X2))),additive_inverse(multiply(multiply(X1,X0),X2))),
inference(forward_literal_rewriting,[],[f1404,f1132]) ).
fof(f1406,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(multiply(X1,multiply(X0,X2)),add(multiply(X0,multiply(X1,X2)),additive_inverse(multiply(multiply(X1,X0),X2)))),
inference(forward_demodulation,[],[f1405,f20]) ).
fof(f1407,plain,
additive_inverse(add(multiply(cy,multiply(cx,cz)),additive_inverse(multiply(multiply(cy,cx),cz)))) != add(multiply(cx,multiply(cy,cz)),additive_inverse(add(multiply(cy,multiply(cx,cz)),add(multiply(cx,multiply(cy,cz)),additive_inverse(multiply(multiply(cy,cx),cz)))))),
inference(backward_demodulation,[],[f74,f1406]) ).
fof(f1408,plain,
$false,
inference(forward_subsumption_resolution,[],[f1407,f893]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG034-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 23:01:16 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 18.60/3.55 % (1273432)Input is clausal, will run a generic CNF schedule.
% 18.60/3.55 % (1273534)lrs+10_1_sil=8000:sp=occurrence:random_seed=2024032780:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.60/3.55 % (1273534)Instruction limit reached!
% 18.60/3.55 % (1273534)------------------------------
% 18.60/3.55 % (1273534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273534)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273534)Termination reason: Instruction limit
% 18.60/3.55 % (1273534)Termination phase: Saturation
% 18.60/3.55 % (1273534)Time elapsed: 0.036 s
% 18.60/3.55 % (1273534)Peak memory usage: 89 MB
% 18.60/3.55 % (1273534)Instructions burned: 107 (million)
% 18.60/3.55 % (1273533)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1390554334:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.60/3.55 % (1273535)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4020987804:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.60/3.55 % (1273537)dis-21_1_sil=8000:lcm=predicate:random_seed=1574851656:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 18.60/3.55 % (1273531)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3779735911:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.60/3.55 % (1273536)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=501899953:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.60/3.55 % (1273532)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=142385581:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.60/3.55 % (1273537)Refutation not found, incomplete strategy
% 18.60/3.55 % (1273537)------------------------------
% 18.60/3.55 % (1273537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273537)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273537)Termination reason: Refutation not found, incomplete strategy
% 18.60/3.55 % (1273537)Time elapsed: 0.002 s
% 18.60/3.55 % (1273537)Peak memory usage: 87 MB
% 18.60/3.55 % (1273537)Instructions burned: 1 (million)
% 18.60/3.55 % (1273535)Instruction limit reached!
% 18.60/3.55 % (1273535)------------------------------
% 18.60/3.55 % (1273535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273535)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273535)Termination reason: Instruction limit
% 18.60/3.55 % (1273535)Termination phase: Saturation
% 18.60/3.55 % (1273535)Time elapsed: 0.072 s
% 18.60/3.55 % (1273535)Peak memory usage: 89 MB
% 18.60/3.55 % (1273535)Instructions burned: 115 (million)
% 18.60/3.55 % (1273536)Instruction limit reached!
% 18.60/3.55 % (1273536)------------------------------
% 18.60/3.55 % (1273536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273536)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273536)Termination reason: Instruction limit
% 18.60/3.55 % (1273536)Termination phase: Saturation
% 18.60/3.55 % (1273536)Time elapsed: 0.104 s
% 18.60/3.55 % (1273536)Peak memory usage: 89 MB
% 18.60/3.55 % (1273536)Instructions burned: 180 (million)
% 18.60/3.55 % (1273545)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3400201334:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 18.60/3.55 % (1273545)Refutation not found, incomplete strategy
% 18.60/3.55 % (1273545)------------------------------
% 18.60/3.55 % (1273545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273545)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273545)Termination reason: Refutation not found, incomplete strategy
% 18.60/3.55 % (1273545)Time elapsed: 0.001 s
% 18.60/3.55 % (1273545)Peak memory usage: 88 MB
% 18.60/3.55 % (1273545)Instructions burned: 1 (million)
% 18.60/3.55 % (1273559)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2470166378:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 18.60/3.55 % (1273537)------------------------------
% 18.60/3.55 % (1273537)------------------------------
% 18.60/3.55 % (1273560)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=800604971:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 18.60/3.55 % (1273560)Refutation not found, incomplete strategy
% 18.60/3.55 % (1273560)------------------------------
% 18.60/3.55 % (1273560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273560)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273560)Termination reason: Refutation not found, incomplete strategy
% 18.60/3.55 % (1273560)Time elapsed: 0.002 s
% 18.60/3.55 % (1273560)Peak memory usage: 88 MB
% 18.60/3.55 % (1273560)Instructions burned: 1 (million)
% 18.60/3.55 % (1273559)Instruction limit reached!
% 18.60/3.55 % (1273559)------------------------------
% 18.60/3.55 % (1273559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273559)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273559)Termination reason: Instruction limit
% 18.60/3.55 % (1273559)Termination phase: Saturation
% 18.60/3.55 % (1273559)Time elapsed: 0.106 s
% 18.60/3.55 % (1273559)Peak memory usage: 89 MB
% 18.60/3.55 % (1273559)Instructions burned: 191 (million)
% 18.60/3.55 % (1273545)------------------------------
% 18.60/3.55 % (1273545)------------------------------
% 18.60/3.55 % (1273563)lrs+10_64_to=lpo:sil=8000:random_seed=3777520229:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 18.60/3.55 % (1273560)------------------------------
% 18.60/3.55 % (1273560)------------------------------
% 18.60/3.55 % (1273563)Instruction limit reached!
% 18.60/3.55 % (1273563)------------------------------
% 18.60/3.55 % (1273563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273563)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273563)Termination reason: Instruction limit
% 18.60/3.55 % (1273563)Termination phase: Saturation
% 18.60/3.55 % (1273563)Time elapsed: 0.117 s
% 18.60/3.55 % (1273563)Peak memory usage: 88 MB
% 18.60/3.55 % (1273563)Instructions burned: 127 (million)
% 18.60/3.55 % (1273565)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=472566280:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 18.60/3.55 % (1273572)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=150419775:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 18.60/3.55 % (1273577)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3846740154:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 18.60/3.55 % (1273578)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2177981819:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 18.60/3.55 % (1273565)Instruction limit reached!
% 18.60/3.55 % (1273565)------------------------------
% 18.60/3.55 % (1273565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273565)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273565)Termination reason: Instruction limit
% 18.60/3.55 % (1273565)Termination phase: Saturation
% 18.60/3.55 % (1273565)Time elapsed: 0.183 s
% 18.60/3.55 % (1273565)Peak memory usage: 89 MB
% 18.60/3.55 % (1273565)Instructions burned: 194 (million)
% 18.60/3.55 % (1273578)Instruction limit reached!
% 18.60/3.55 % (1273578)------------------------------
% 18.60/3.55 % (1273578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273578)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273578)Termination reason: Instruction limit
% 18.60/3.55 % (1273578)Termination phase: Saturation
% 18.60/3.55 % (1273578)Time elapsed: 0.086 s
% 18.60/3.55 % (1273578)Peak memory usage: 88 MB
% 18.60/3.55 % (1273578)Instructions burned: 106 (million)
% 18.60/3.55 % (1273572)Instruction limit reached!
% 18.60/3.55 % (1273572)------------------------------
% 18.60/3.55 % (1273572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273572)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273572)Termination reason: Instruction limit
% 18.60/3.55 % (1273572)Termination phase: Saturation
% 18.60/3.55 % (1273572)Time elapsed: 0.174 s
% 18.60/3.55 % (1273572)Peak memory usage: 91 MB
% 18.60/3.55 % (1273572)Instructions burned: 157 (million)
% 18.60/3.55 % (1273591)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2500841090:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 18.60/3.55 % (1273591)Refutation not found, incomplete strategy
% 18.60/3.55 % (1273591)------------------------------
% 18.60/3.55 % (1273591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273591)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273591)Termination reason: Refutation not found, incomplete strategy
% 18.60/3.55 % (1273591)Time elapsed: 0.002 s
% 18.60/3.55 % (1273591)Peak memory usage: 88 MB
% 18.60/3.55 % (1273591)Instructions burned: 1 (million)
% 18.60/3.55 % (1273592)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1742951676:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 18.60/3.55 % (1273593)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2630871536:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 18.60/3.55 % (1273592)Instruction limit reached!
% 18.60/3.55 % (1273592)------------------------------
% 18.60/3.55 % (1273592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273592)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273592)Termination reason: Instruction limit
% 18.60/3.55 % (1273592)Termination phase: Saturation
% 18.60/3.55 % (1273592)Time elapsed: 0.225 s
% 18.60/3.55 % (1273592)Peak memory usage: 90 MB
% 18.60/3.55 % (1273592)Instructions burned: 242 (million)
% 18.60/3.55 % (1273591)------------------------------
% 18.60/3.55 % (1273591)------------------------------
% 18.60/3.55 % (1273605)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1218589276:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 18.60/3.55 % (1273606)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1653810037:i=499:bd=all_2984 on theBenchmark for (2984ds/499Mi)
% 18.60/3.55 % (1273605)Instruction limit reached!
% 18.60/3.55 % (1273605)------------------------------
% 18.60/3.55 % (1273605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273605)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273605)Termination reason: Instruction limit
% 18.60/3.55 % (1273605)Termination phase: Saturation
% 18.60/3.55 % (1273605)Time elapsed: 0.093 s
% 18.60/3.55 % (1273605)Peak memory usage: 88 MB
% 18.60/3.55 % (1273605)Instructions burned: 136 (million)
% 18.60/3.55 % (1273611)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3598006792:i=191:fgj=on:bd=all_2981 on theBenchmark for (2981ds/191Mi)
% 18.60/3.55 % (1273611)First to succeed.
% 18.60/3.55 % (1273611)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1273432"
% 18.60/3.55 % (1273606)Instruction limit reached!
% 18.60/3.55 % (1273606)------------------------------
% 18.60/3.55 % (1273606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/3.55 % (1273606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/3.55 % (1273606)CaDiCaL version: 2.1.3
% 18.60/3.55 % (1273606)Termination reason: Instruction limit
% 18.60/3.55 % (1273606)Termination phase: Saturation
% 18.60/3.55 % (1273606)Time elapsed: 0.495 s
% 18.60/3.55 % (1273606)Peak memory usage: 92 MB
% 18.60/3.55 % (1273606)Instructions burned: 500 (million)
% 18.60/3.55 % (1273613)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1068767612:i=264:kws=precedence:fsr=off_2976 on theBenchmark for (2976ds/264Mi)
% 18.60/3.55 % (1273611)Refutation found. Thanks to Tanya!
% 18.60/3.55 % SZS status Unsatisfiable for theBenchmark
% 18.60/3.55 % SZS output start Proof for theBenchmark
% See solution above
% 19.53/3.85 % (1273611)------------------------------
% 19.53/3.85 % (1273611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.85 % (1273611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.85 % (1273611)CaDiCaL version: 2.1.3
% 19.53/3.85 % (1273611)Termination reason: Refutation
% 19.53/3.85 % (1273611)Time elapsed: 0.086 s
% 19.53/3.85 % (1273611)Peak memory usage: 89 MB
% 19.53/3.85 % (1273611)Instructions burned: 80 (million)
% 19.53/3.85 % (1273611)------------------------------
% 19.53/3.85 % (1273611)------------------------------
% 19.53/3.85 % (1273432)Success in time 2.668 s
% 19.53/3.85 % Vampire exiting
%------------------------------------------------------------------------------