%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG025-6 : 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 : 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 12:35:10 PM UTC 2026
% Result : Unsatisfiable 6.12s 2.13s
% Output : Refutation 6.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 17
% Syntax : Number of formulae : 104 ( 81 unt; 2 def)
% Number of atoms : 128 ( 94 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 25 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 222 ( 0 sgn 222 !; 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(f11,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/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(f16,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_alternative) ).
fof(f17,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_alternative) ).
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,
associator(x,y,x) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_flexible_law) ).
fof(f21,plain,
additive_identity != associator(x,y,x),
inference(reorient_equations,[],[f20]) ).
fof(f23,definition,
( spl0_1
<=> additive_identity = associator(x,y,x) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f25,plain,
( additive_identity != associator(x,y,x)
| spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f26,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f21,f23]) ).
fof(f29,plain,
additive_identity = additive_inverse(additive_identity),
inference(superposition,[],[f2,f8]) ).
fof(f31,definition,
( spl0_2
<=> additive_identity = additive_inverse(additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f33,plain,
( additive_identity = additive_inverse(additive_identity)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,plain,
spl0_2,
inference(avatar_split_clause,[],[f29,f31]) ).
fof(f54,plain,
! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1)),
inference(superposition,[],[f15,f10]) ).
fof(f56,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(superposition,[],[f15,f14]) ).
fof(f59,plain,
! [X0,X1] : add(additive_identity,X1) = add(additive_inverse(X0),add(X0,X1)),
inference(superposition,[],[f15,f8]) ).
fof(f68,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[],[f59,f1]) ).
fof(f70,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[],[f56,f15]) ).
fof(f72,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f54,f1]) ).
fof(f88,plain,
! [X0,X1] : add(additive_inverse(X1),add(X0,X1)) = X0,
inference(superposition,[],[f68,f14]) ).
fof(f102,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(superposition,[],[f72,f14]) ).
fof(f126,plain,
! [X0,X1] : additive_inverse(X1) = add(additive_inverse(add(X1,X0)),X0),
inference(superposition,[],[f88,f68]) ).
fof(f127,plain,
! [X0,X1] : additive_inverse(X1) = add(additive_inverse(add(X0,X1)),X0),
inference(superposition,[],[f88,f88]) ).
fof(f158,plain,
! [X2,X0,X1] : add(X0,X1) = add(X2,add(X0,add(X1,additive_inverse(X2)))),
inference(superposition,[],[f102,f15]) ).
fof(f197,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(superposition,[],[f14,f126]) ).
fof(f215,plain,
! [X0,X1] : add(additive_inverse(X0),X1) = additive_inverse(add(X0,additive_inverse(X1))),
inference(superposition,[],[f127,f102]) ).
fof(f310,plain,
! [X0,X1] : multiply(X0,additive_identity) = add(multiply(X0,X1),multiply(X0,additive_inverse(X1))),
inference(superposition,[],[f12,f10]) ).
fof(f331,plain,
! [X0,X1] : additive_identity = add(multiply(X0,X1),multiply(X0,additive_inverse(X1))),
inference(forward_demodulation,[],[f310,f6]) ).
fof(f485,plain,
! [X0,X1] : multiply(additive_identity,X1) = add(multiply(X0,X1),multiply(additive_inverse(X0),X1)),
inference(superposition,[],[f13,f10]) ).
fof(f504,plain,
! [X0,X1] : additive_identity = add(multiply(X0,X1),multiply(additive_inverse(X0),X1)),
inference(forward_demodulation,[],[f485,f4]) ).
fof(f549,plain,
! [X0,X1] : additive_identity = add(multiply(multiply(X0,additive_inverse(X1)),X1),multiply(X0,multiply(additive_inverse(X1),additive_inverse(X1)))),
inference(superposition,[],[f331,f16]) ).
fof(f554,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(multiply(X0,additive_inverse(X1)),additive_inverse(additive_identity)),
inference(superposition,[],[f197,f331]) ).
fof(f557,plain,
( ! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(multiply(X0,additive_inverse(X1)),additive_identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f554,f33]) ).
fof(f573,plain,
( ! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f557,f2]) ).
fof(f585,plain,
( ! [X0,X1] : additive_identity = add(multiply(additive_inverse(multiply(X0,X1)),X1),multiply(X0,multiply(additive_inverse(X1),additive_inverse(X1))))
| ~ spl0_2 ),
inference(backward_demodulation,[],[f549,f573]) ).
fof(f599,plain,
( ! [X0,X1] : additive_identity = add(multiply(additive_inverse(multiply(X0,X1)),X1),multiply(X0,additive_inverse(multiply(additive_inverse(X1),X1))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f585,f573]) ).
fof(f608,plain,
( ! [X0,X1] : additive_identity = add(multiply(additive_inverse(multiply(X0,X1)),X1),additive_inverse(multiply(X0,multiply(additive_inverse(X1),X1))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f599,f573]) ).
fof(f631,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(multiply(additive_inverse(X0),X1),additive_inverse(additive_identity)),
inference(superposition,[],[f197,f504]) ).
fof(f634,plain,
( ! [X0,X1] : additive_inverse(multiply(X0,X1)) = add(multiply(additive_inverse(X0),X1),additive_identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f631,f33]) ).
fof(f648,plain,
( ! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f634,f2]) ).
fof(f665,plain,
( ! [X0,X1] : additive_identity = add(additive_inverse(multiply(multiply(X0,X1),X1)),additive_inverse(multiply(X0,multiply(additive_inverse(X1),X1))))
| ~ spl0_2 ),
inference(backward_demodulation,[],[f608,f648]) ).
fof(f673,plain,
( ! [X0,X1] : additive_identity = additive_inverse(add(multiply(multiply(X0,X1),X1),additive_inverse(additive_inverse(multiply(X0,multiply(additive_inverse(X1),X1))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f665,f215]) ).
fof(f685,plain,
( ! [X0,X1] : additive_identity = additive_inverse(add(multiply(multiply(X0,X1),X1),multiply(X0,multiply(additive_inverse(X1),X1))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f673,f11]) ).
fof(f694,plain,
( ! [X0,X1] : additive_identity = additive_inverse(add(multiply(multiply(X0,X1),X1),multiply(X0,additive_inverse(multiply(X1,X1)))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f685,f648]) ).
fof(f695,plain,
( ! [X0,X1] : additive_identity = additive_inverse(add(multiply(multiply(X0,X1),X1),additive_inverse(multiply(X0,multiply(X1,X1)))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f694,f573]) ).
fof(f696,plain,
( ! [X0,X1] : additive_identity = additive_inverse(associator(X0,X1,X1))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f695,f18]) ).
fof(f705,plain,
( ! [X0,X1] : additive_inverse(additive_identity) = associator(X0,X1,X1)
| ~ spl0_2 ),
inference(superposition,[],[f11,f696]) ).
fof(f708,plain,
( ! [X0,X1] : additive_identity = associator(X0,X1,X1)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f705,f33]) ).
fof(f826,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),additive_inverse(multiply(X0,multiply(add(X1,X2),X3)))),
inference(superposition,[],[f18,f12]) ).
fof(f828,plain,
! [X2,X3,X0,X1] : associator(add(X0,X2),X1,X3) = add(multiply(add(multiply(X0,X1),multiply(X2,X1)),X3),additive_inverse(multiply(add(X0,X2),multiply(X1,X3)))),
inference(superposition,[],[f18,f13]) ).
fof(f832,plain,
! [X0,X1] : add(multiply(X0,multiply(X0,X1)),additive_inverse(multiply(X0,multiply(X0,X1)))) = associator(X0,X0,X1),
inference(superposition,[],[f18,f17]) ).
fof(f850,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),
inference(superposition,[],[f102,f18]) ).
fof(f896,plain,
! [X0,X1] : additive_identity = associator(X0,X0,X1),
inference(forward_demodulation,[],[f832,f10]) ).
fof(f900,plain,
! [X2,X3,X0,X1] : associator(add(X0,X2),X1,X3) = add(multiply(add(multiply(X0,X1),multiply(X2,X1)),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X2,multiply(X1,X3))))),
inference(forward_demodulation,[],[f828,f13]) ).
fof(f902,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),additive_inverse(multiply(X0,add(multiply(X1,X3),multiply(X2,X3))))),
inference(forward_demodulation,[],[f826,f13]) ).
fof(f939,plain,
! [X2,X3,X0,X1] : associator(add(X0,X2),X1,X3) = add(add(multiply(multiply(X0,X1),X3),multiply(multiply(X2,X1),X3)),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X2,multiply(X1,X3))))),
inference(forward_demodulation,[],[f900,f13]) ).
fof(f941,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))),
inference(forward_demodulation,[],[f902,f12]) ).
fof(f974,plain,
! [X2,X3,X0,X1] : associator(add(X0,X2),X1,X3) = add(multiply(multiply(X0,X1),X3),add(multiply(multiply(X2,X1),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X2,multiply(X1,X3)))))),
inference(forward_demodulation,[],[f939,f15]) ).
fof(f976,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(add(multiply(multiply(X0,X1),X3),multiply(multiply(X0,X2),X3)),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))),
inference(forward_demodulation,[],[f941,f13]) ).
fof(f1001,plain,
! [X2,X3,X0,X1] : associator(add(X0,X2),X1,X3) = add(multiply(multiply(X0,X1),X3),add(add(multiply(X2,multiply(X1,X3)),associator(X2,X1,X3)),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X2,multiply(X1,X3)))))),
inference(forward_demodulation,[],[f974,f850]) ).
fof(f1003,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(multiply(X0,X1),X3),add(multiply(multiply(X0,X2),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))),
inference(forward_demodulation,[],[f976,f15]) ).
fof(f1017,plain,
! [X2,X3,X0,X1] : associator(add(X0,X2),X1,X3) = add(multiply(multiply(X0,X1),X3),add(multiply(X2,multiply(X1,X3)),add(associator(X2,X1,X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X2,multiply(X1,X3))))))),
inference(forward_demodulation,[],[f1001,f15]) ).
fof(f1018,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(multiply(X0,X1),X3),add(add(multiply(X0,multiply(X2,X3)),associator(X0,X2,X3)),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))),
inference(forward_demodulation,[],[f1003,f850]) ).
fof(f1028,plain,
! [X2,X3,X0,X1] : associator(add(X0,X2),X1,X3) = add(add(multiply(X0,multiply(X1,X3)),associator(X0,X1,X3)),add(multiply(X2,multiply(X1,X3)),add(associator(X2,X1,X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X2,multiply(X1,X3))))))),
inference(forward_demodulation,[],[f1017,f850]) ).
fof(f1029,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(multiply(X0,X1),X3),add(multiply(X0,multiply(X2,X3)),add(associator(X0,X2,X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f1018,f15]) ).
fof(f1038,plain,
! [X2,X3,X0,X1] : associator(add(X0,X2),X1,X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(multiply(X2,multiply(X1,X3)),add(associator(X2,X1,X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X2,multiply(X1,X3)))))))),
inference(forward_demodulation,[],[f1028,f15]) ).
fof(f1039,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(add(multiply(X0,multiply(X1,X3)),associator(X0,X1,X3)),add(multiply(X0,multiply(X2,X3)),add(associator(X0,X2,X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f1029,f850]) ).
fof(f1044,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(multiply(X0,multiply(X2,X3)),add(associator(X0,X2,X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))))),
inference(forward_demodulation,[],[f1039,f15]) ).
fof(f1051,plain,
! [X2,X0,X1] : add(associator(X0,X0,X1),X2) = X2,
inference(superposition,[],[f1,f896]) ).
fof(f1052,plain,
! [X2,X0,X1] : add(X2,associator(X0,X0,X1)) = X2,
inference(superposition,[],[f2,f896]) ).
fof(f1445,plain,
! [X2,X0,X1] : add(X1,add(X2,additive_inverse(add(X0,X1)))) = add(X2,additive_inverse(X0)),
inference(superposition,[],[f70,f197]) ).
fof(f1542,plain,
! [X2,X3,X0,X1] : associator(add(X0,X2),X1,X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(associator(X2,X1,X3),additive_inverse(multiply(X0,multiply(X1,X3)))))),
inference(backward_demodulation,[],[f1038,f1445]) ).
fof(f1543,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(associator(X0,X2,X3),additive_inverse(multiply(X0,multiply(X1,X3)))))),
inference(backward_demodulation,[],[f1044,f1445]) ).
fof(f1564,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),associator(X0,X2,X3)),
inference(forward_demodulation,[],[f1543,f158]) ).
fof(f1565,plain,
! [X2,X3,X0,X1] : associator(add(X0,X2),X1,X3) = add(associator(X0,X1,X3),associator(X2,X1,X3)),
inference(forward_demodulation,[],[f1542,f158]) ).
fof(f1586,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,add(X1,X0),X2),
inference(superposition,[],[f1052,f1564]) ).
fof(f2080,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(add(X0,X1),X0,X2),
inference(superposition,[],[f1051,f1565]) ).
fof(f2182,plain,
! [X2,X0,X1] : associator(add(X0,additive_inverse(X1)),X1,X2) = associator(add(X0,additive_inverse(X1)),X0,X2),
inference(superposition,[],[f1586,f102]) ).
fof(f2213,plain,
! [X2,X0,X1] : associator(add(X0,additive_inverse(X1)),X1,X2) = associator(additive_inverse(X1),X0,X2),
inference(forward_demodulation,[],[f2182,f2080]) ).
fof(f2240,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(add(X0,additive_inverse(X1)),X1,X2),
inference(superposition,[],[f2080,f102]) ).
fof(f2277,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(additive_inverse(X1),X0,X2),
inference(forward_demodulation,[],[f2240,f2213]) ).
fof(f2608,plain,
( ! [X0,X1] : additive_identity = associator(X0,X1,X0)
| ~ spl0_2 ),
inference(superposition,[],[f2277,f708]) ).
fof(f2610,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[],[f25,f2608]) ).
fof(f2611,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f2610]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f26]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f34]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f2611]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s4,s2]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5]) ).
fof(f2626,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG025-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n004.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 22:59:52 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.53 Running first-order theorem proving
% 0.25/0.53 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
% 6.12/2.13 % (3985207)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.12/2.13 % (3985223)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=855489940:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.12/2.13 % (3985221)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=1267845644:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.12/2.13 % (3985222)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=672494622:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.12/2.13 % (3985226)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4116397909:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.12/2.13 % (3985227)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1314424448:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.12/2.13 % (3985225)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3349374714:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.12/2.13 % (3985224)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1347414174:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.12/2.13 % (3985226)First to succeed.
% 6.12/2.13 % (3985226)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3985207"
% 6.12/2.13 % (3985224)Instruction limit reached!
% 6.12/2.13 % (3985224)------------------------------
% 6.12/2.13 % (3985224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/2.13 % (3985224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/2.13 % (3985224)CaDiCaL version: 2.1.3
% 6.12/2.13 % (3985224)Termination reason: Instruction limit
% 6.12/2.13 % (3985224)Termination phase: Saturation
% 6.12/2.13 % (3985224)Time elapsed: 0.113 s
% 6.12/2.13 % (3985224)Peak memory usage: 88 MB
% 6.12/2.13 % (3985224)Instructions burned: 137 (million)
% 6.12/2.13 % (3985225)Instruction limit reached!
% 6.12/2.13 % (3985225)------------------------------
% 6.12/2.13 % (3985225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/2.13 % (3985225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/2.13 % (3985225)CaDiCaL version: 2.1.3
% 6.12/2.13 % (3985225)Termination reason: Instruction limit
% 6.12/2.13 % (3985225)Termination phase: Saturation
% 6.12/2.13 % (3985225)Time elapsed: 0.171 s
% 6.12/2.13 % (3985225)Peak memory usage: 89 MB
% 6.12/2.13 % (3985225)Instructions burned: 182 (million)
% 6.12/2.13 % (3985243)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3508009088:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 6.12/2.13 % (3985244)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2593387121:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 6.12/2.13 % (3985226)Refutation found. Thanks to Tanya!
% 6.12/2.13 % SZS status Unsatisfiable for theBenchmark
% 6.12/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 6.90/2.45 % (3985226)------------------------------
% 6.90/2.45 % (3985226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/2.45 % (3985226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/2.45 % (3985226)CaDiCaL version: 2.1.3
% 6.90/2.45 % (3985226)Termination reason: Refutation
% 6.90/2.45 % (3985226)Time elapsed: 0.103 s
% 6.90/2.45 % (3985226)Peak memory usage: 90 MB
% 6.90/2.45 % (3985226)Instructions burned: 100 (million)
% 6.90/2.45 % (3985226)------------------------------
% 6.90/2.45 % (3985226)------------------------------
% 6.90/2.45 % (3985207)Success in time 0.831 s
% 6.90/2.45 % Vampire exiting
%------------------------------------------------------------------------------