%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ROB018-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:36:17 PM UTC 2026
% Result : Unsatisfiable 52.20s 8.27s
% Output : Refutation 52.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 5
% Syntax : Number of formulae : 171 ( 171 unt; 0 def)
% Number of atoms : 171 ( 170 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 243 ( 243 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f4,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f5,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f13,axiom,
negate(add(d,negate(e))) = negate(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f14,plain,
negate(e) = negate(add(d,negate(e))),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
add(e,multiply(successor(successor(one)),add(d,negate(add(d,negate(e)))))) != add(e,multiply(successor(one),add(d,negate(add(d,negate(e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_result) ).
fof(f17,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(superposition,[],[f4,f3]) ).
fof(f22,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[],[f3,f4]) ).
fof(f26,plain,
! [X2,X0,X1] : add(X2,add(X0,X1)) = add(X0,add(X2,X1)),
inference(superposition,[],[f22,f3]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : add(add(X0,X1),add(X3,X2)) = add(X3,add(X0,add(X1,X2))),
inference(superposition,[],[f22,f22]) ).
fof(f35,plain,
! [X2,X0,X1] : add(X1,add(X0,X2)) = add(X2,add(X0,X1)),
inference(superposition,[],[f22,f3]) ).
fof(f50,plain,
! [X2,X3,X0,X1] : add(X0,add(X1,add(X2,X3))) = add(X2,add(X3,add(X0,X1))),
inference(superposition,[],[f4,f22]) ).
fof(f59,plain,
! [X2,X3,X0,X1] : add(X3,add(X0,add(X1,X2))) = add(X0,add(X1,add(X3,X2))),
inference(forward_demodulation,[],[f27,f4]) ).
fof(f64,plain,
add(e,multiply(successor(successor(one)),add(d,negate(e)))) != add(e,multiply(successor(one),add(d,negate(e)))),
inference(superposition,[],[f15,f14]) ).
fof(f102,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(superposition,[],[f5,f3]) ).
fof(f105,plain,
! [X2,X0,X1] : add(X1,X0) = negate(add(negate(add(X0,add(X1,X2))),negate(add(add(X1,X0),negate(X2))))),
inference(superposition,[],[f5,f17]) ).
fof(f107,plain,
d = negate(add(negate(e),negate(add(d,negate(negate(e)))))),
inference(superposition,[],[f5,f14]) ).
fof(f109,plain,
! [X0] : negate(add(negate(add(X0,add(d,negate(e)))),negate(add(X0,negate(e))))) = X0,
inference(superposition,[],[f5,f14]) ).
fof(f110,plain,
! [X2,X0,X1] : negate(add(negate(add(X1,add(negate(add(X0,X2)),negate(add(X0,negate(X2)))))),negate(add(X1,X0)))) = X1,
inference(superposition,[],[f5,f5]) ).
fof(f112,plain,
! [X0,X1] : negate(add(negate(add(X1,X0)),negate(add(negate(X0),X1)))) = X1,
inference(superposition,[],[f5,f3]) ).
fof(f113,plain,
! [X2,X0,X1] : add(X1,X0) = negate(add(negate(add(add(X1,X0),X2)),negate(add(X0,add(X1,negate(X2)))))),
inference(superposition,[],[f5,f17]) ).
fof(f114,plain,
! [X2,X0,X1] : add(X0,X1) = negate(add(negate(add(add(X0,X1),X2)),negate(add(X0,add(X1,negate(X2)))))),
inference(superposition,[],[f5,f4]) ).
fof(f115,plain,
d = negate(add(negate(add(d,e)),negate(e))),
inference(superposition,[],[f5,f14]) ).
fof(f118,plain,
d = negate(add(negate(e),negate(add(d,e)))),
inference(forward_demodulation,[],[f115,f3]) ).
fof(f119,plain,
! [X2,X0,X1] : add(X0,X1) = negate(add(negate(add(X0,add(X1,X2))),negate(add(X0,add(X1,negate(X2)))))),
inference(forward_demodulation,[],[f114,f4]) ).
fof(f120,plain,
! [X2,X0,X1] : add(X1,X0) = negate(add(negate(add(X1,add(X0,X2))),negate(add(X0,add(X1,negate(X2)))))),
inference(forward_demodulation,[],[f113,f4]) ).
fof(f121,plain,
! [X2,X0,X1] : negate(add(negate(add(X1,X0)),negate(add(X1,add(negate(add(X0,X2)),negate(add(X0,negate(X2)))))))) = X1,
inference(forward_demodulation,[],[f110,f3]) ).
fof(f122,plain,
! [X0] : negate(add(negate(add(X0,negate(e))),negate(add(X0,add(d,negate(e)))))) = X0,
inference(forward_demodulation,[],[f109,f3]) ).
fof(f124,plain,
! [X2,X0,X1] : add(X1,X0) = negate(add(negate(add(X0,add(X1,X2))),negate(add(X1,add(X0,negate(X2)))))),
inference(forward_demodulation,[],[f105,f4]) ).
fof(f126,plain,
d = negate(add(negate(e),negate(add(e,d)))),
inference(forward_demodulation,[],[f118,f3]) ).
fof(f153,plain,
! [X2,X0,X1] : add(X2,X1) = negate(add(negate(add(X2,add(X0,X1))),negate(add(X2,add(X1,negate(X0)))))),
inference(superposition,[],[f119,f3]) ).
fof(f165,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X0,add(X1,add(d,negate(e))))),negate(add(X0,add(X1,negate(e)))))),
inference(superposition,[],[f119,f14]) ).
fof(f172,plain,
! [X2,X3,X0,X1] : add(X3,add(X0,X1)) = negate(add(negate(add(X3,add(add(X0,X1),X2))),negate(add(X3,add(X0,add(X1,negate(X2))))))),
inference(superposition,[],[f119,f4]) ).
fof(f189,plain,
! [X2,X3,X0,X1] : add(X3,add(X0,X1)) = negate(add(negate(add(X3,add(X0,add(X1,X2)))),negate(add(X3,add(X0,add(X1,negate(X2))))))),
inference(forward_demodulation,[],[f172,f4]) ).
fof(f194,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X0,add(X1,negate(e)))),negate(add(X0,add(X1,add(d,negate(e))))))),
inference(forward_demodulation,[],[f165,f3]) ).
fof(f216,plain,
negate(e) = negate(add(negate(e),negate(add(negate(e),negate(d))))),
inference(superposition,[],[f102,f14]) ).
fof(f221,plain,
! [X0] : negate(add(negate(add(add(d,negate(e)),X0)),negate(add(X0,negate(e))))) = X0,
inference(superposition,[],[f102,f14]) ).
fof(f225,plain,
! [X0] : negate(add(negate(add(add(negate(e),negate(add(e,d))),X0)),negate(add(X0,d)))) = X0,
inference(superposition,[],[f102,f126]) ).
fof(f247,plain,
! [X0] : negate(add(negate(add(X0,d)),negate(add(add(negate(e),negate(add(e,d))),X0)))) = X0,
inference(forward_demodulation,[],[f225,f3]) ).
fof(f251,plain,
! [X0] : negate(add(negate(add(X0,negate(e))),negate(add(add(d,negate(e)),X0)))) = X0,
inference(forward_demodulation,[],[f221,f3]) ).
fof(f262,plain,
! [X0] : negate(add(negate(add(X0,d)),negate(add(negate(e),add(negate(add(e,d)),X0))))) = X0,
inference(forward_demodulation,[],[f247,f4]) ).
fof(f266,plain,
! [X0] : negate(add(negate(add(X0,negate(e))),negate(add(d,add(negate(e),X0))))) = X0,
inference(forward_demodulation,[],[f251,f4]) ).
fof(f271,plain,
! [X0] : negate(add(negate(add(negate(e),X0)),negate(add(d,add(negate(e),X0))))) = X0,
inference(superposition,[],[f266,f3]) ).
fof(f280,plain,
! [X0] : negate(add(X0,negate(e))) = negate(add(negate(add(add(d,add(negate(e),X0)),negate(add(X0,negate(e))))),X0)),
inference(superposition,[],[f102,f266]) ).
fof(f292,plain,
! [X0] : negate(add(X0,negate(e))) = negate(add(X0,negate(add(add(d,add(negate(e),X0)),negate(add(X0,negate(e))))))),
inference(forward_demodulation,[],[f280,f3]) ).
fof(f298,plain,
! [X0] : negate(add(X0,negate(e))) = negate(add(X0,negate(add(d,add(add(negate(e),X0),negate(add(X0,negate(e)))))))),
inference(forward_demodulation,[],[f292,f4]) ).
fof(f300,plain,
! [X0] : negate(add(X0,negate(e))) = negate(add(X0,negate(add(d,add(negate(e),add(X0,negate(add(X0,negate(e))))))))),
inference(forward_demodulation,[],[f298,f4]) ).
fof(f339,plain,
! [X2,X0,X1] : negate(add(negate(add(X1,add(negate(add(X0,X2)),negate(add(X0,negate(X2)))))),negate(add(X0,X1)))) = X1,
inference(superposition,[],[f112,f5]) ).
fof(f349,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(negate(add(negate(add(X0,negate(X1))),add(X0,X1))),X0)),
inference(superposition,[],[f112,f5]) ).
fof(f351,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(negate(add(negate(add(X0,negate(X1))),add(X1,X0))),X0)),
inference(superposition,[],[f112,f102]) ).
fof(f358,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X0,negate(add(negate(add(X0,X1)),negate(negate(add(negate(X1),X0))))))),
inference(superposition,[],[f5,f112]) ).
fof(f370,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(negate(add(X0,negate(X1))),add(X1,X0))))),
inference(forward_demodulation,[],[f351,f3]) ).
fof(f372,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(negate(add(X0,negate(X1))),add(X0,X1))))),
inference(forward_demodulation,[],[f349,f3]) ).
fof(f380,plain,
! [X2,X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,add(negate(add(X0,X2)),negate(add(X0,negate(X2)))))))) = X1,
inference(forward_demodulation,[],[f339,f3]) ).
fof(f396,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(add(X1,X0),negate(add(X0,negate(X1))))))),
inference(forward_demodulation,[],[f370,f3]) ).
fof(f398,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(add(X0,X1),negate(add(X0,negate(X1))))))),
inference(forward_demodulation,[],[f372,f3]) ).
fof(f404,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(X1,add(X0,negate(add(X0,negate(X1)))))))),
inference(forward_demodulation,[],[f396,f4]) ).
fof(f406,plain,
! [X0,X1] : negate(add(X0,negate(X1))) = negate(add(X0,negate(add(X0,add(X1,negate(add(X0,negate(X1)))))))),
inference(forward_demodulation,[],[f398,f4]) ).
fof(f509,plain,
negate(e) = negate(add(negate(add(negate(e),add(negate(e),negate(d)))),negate(e))),
inference(superposition,[],[f5,f216]) ).
fof(f523,plain,
negate(e) = negate(add(negate(e),negate(add(negate(e),add(negate(e),negate(d)))))),
inference(forward_demodulation,[],[f509,f3]) ).
fof(f567,plain,
! [X0] : d = negate(add(negate(e),negate(add(d,add(negate(add(negate(e),X0)),negate(add(negate(e),negate(X0)))))))),
inference(superposition,[],[f121,f14]) ).
fof(f1070,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X0,add(X2,X1)),
inference(superposition,[],[f22,f35]) ).
fof(f1240,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X2),X1),
inference(superposition,[],[f3,f26]) ).
fof(f1243,plain,
! [X2,X3,X0,X1] : add(add(X0,add(X1,X2)),X3) = add(add(X0,X2),add(X1,X3)),
inference(superposition,[],[f17,f26]) ).
fof(f1269,plain,
! [X2,X3,X0,X1] : add(add(X0,add(X1,X2)),X3) = add(X0,add(X2,add(X1,X3))),
inference(forward_demodulation,[],[f1243,f4]) ).
fof(f1298,plain,
! [X2,X3,X0,X1] : add(X0,add(add(X1,X2),X3)) = add(X0,add(X2,add(X1,X3))),
inference(forward_demodulation,[],[f1269,f4]) ).
fof(f1303,plain,
! [X2,X3,X0,X1] : add(X0,add(X1,add(X2,X3))) = add(X0,add(X2,add(X1,X3))),
inference(forward_demodulation,[],[f1298,f4]) ).
fof(f1317,plain,
! [X2,X3,X0,X1] : add(add(X0,add(X1,X2)),X3) = add(add(X0,X1),add(X3,X2)),
inference(superposition,[],[f1240,f4]) ).
fof(f1362,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(add(X0,X1),negate(e))),negate(add(X0,add(add(d,negate(e)),X1))))),
inference(superposition,[],[f122,f1240]) ).
fof(f1387,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(add(X0,X1),negate(e))),negate(add(X0,add(d,add(negate(e),X1)))))),
inference(forward_demodulation,[],[f1362,f4]) ).
fof(f1419,plain,
! [X2,X3,X0,X1] : add(add(X0,add(X1,X2)),X3) = add(X0,add(X1,add(X3,X2))),
inference(forward_demodulation,[],[f1317,f4]) ).
fof(f1433,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X0,add(X1,negate(e)))),negate(add(X0,add(d,add(negate(e),X1)))))),
inference(forward_demodulation,[],[f1387,f4]) ).
fof(f1447,plain,
! [X2,X3,X0,X1] : add(X0,add(add(X1,X2),X3)) = add(X0,add(X1,add(X3,X2))),
inference(forward_demodulation,[],[f1419,f4]) ).
fof(f1463,plain,
! [X2,X3,X0,X1] : add(X0,add(X1,add(X2,X3))) = add(X0,add(X1,add(X3,X2))),
inference(forward_demodulation,[],[f1447,f4]) ).
fof(f1506,plain,
! [X2,X0,X1] : add(X2,X1) = negate(add(negate(add(X2,add(X0,X1))),negate(add(X2,add(negate(X0),X1))))),
inference(superposition,[],[f153,f3]) ).
fof(f3449,plain,
! [X2,X0,X1] : negate(add(negate(add(add(negate(add(X0,add(X1,negate(e)))),negate(add(X0,add(X1,add(d,negate(e)))))),X2)),negate(add(X2,add(X0,X1))))) = X2,
inference(superposition,[],[f102,f194]) ).
fof(f3468,plain,
! [X2,X0,X1] : negate(add(negate(add(X2,add(X0,X1))),negate(add(add(negate(add(X0,add(X1,negate(e)))),negate(add(X0,add(X1,add(d,negate(e)))))),X2)))) = X2,
inference(forward_demodulation,[],[f3449,f3]) ).
fof(f3526,plain,
! [X2,X0,X1] : negate(add(negate(add(X2,add(X0,X1))),negate(add(negate(add(X0,add(X1,negate(e)))),add(negate(add(X0,add(X1,add(d,negate(e))))),X2))))) = X2,
inference(forward_demodulation,[],[f3468,f4]) ).
fof(f3590,plain,
! [X0] : negate(add(negate(add(d,X0)),negate(add(negate(e),add(negate(add(e,d)),X0))))) = X0,
inference(superposition,[],[f262,f3]) ).
fof(f4001,plain,
d = negate(add(negate(e),negate(add(d,add(negate(add(negate(e),add(negate(e),negate(d)))),negate(e)))))),
inference(superposition,[],[f567,f216]) ).
fof(f4063,plain,
d = negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(e),add(negate(e),negate(d))))))))),
inference(forward_demodulation,[],[f4001,f1070]) ).
fof(f5731,plain,
! [X0] : negate(e) = negate(add(negate(e),negate(add(negate(e),add(negate(add(d,X0)),negate(add(d,negate(X0)))))))),
inference(superposition,[],[f380,f14]) ).
fof(f9029,plain,
negate(add(negate(e),add(negate(e),negate(d)))) = negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(e),add(negate(e),negate(d))))))))),
inference(superposition,[],[f271,f523]) ).
fof(f9121,plain,
d = negate(add(negate(e),add(negate(e),negate(d)))),
inference(forward_demodulation,[],[f9029,f4063]) ).
fof(f9156,plain,
add(negate(e),negate(e)) = negate(add(negate(add(negate(e),add(negate(e),d))),d)),
inference(superposition,[],[f119,f9121]) ).
fof(f9235,plain,
add(negate(e),negate(e)) = negate(add(d,negate(add(negate(e),add(negate(e),d))))),
inference(forward_demodulation,[],[f9156,f3]) ).
fof(f9258,plain,
add(negate(e),negate(e)) = negate(add(d,negate(add(d,add(negate(e),negate(e)))))),
inference(forward_demodulation,[],[f9235,f22]) ).
fof(f13638,plain,
negate(e) = negate(add(negate(e),negate(add(negate(e),add(negate(add(d,add(d,negate(e)))),negate(add(d,negate(e)))))))),
inference(superposition,[],[f5731,f14]) ).
fof(f13905,plain,
negate(e) = negate(add(negate(e),negate(add(negate(e),add(negate(add(d,negate(e))),negate(add(d,add(d,negate(e))))))))),
inference(forward_demodulation,[],[f13638,f1070]) ).
fof(f13943,plain,
negate(e) = negate(add(negate(e),negate(add(negate(e),add(negate(e),negate(add(d,add(d,negate(e))))))))),
inference(forward_demodulation,[],[f13905,f14]) ).
fof(f13962,plain,
d = negate(add(negate(e),negate(add(d,add(negate(add(negate(e),add(negate(e),add(negate(e),negate(add(d,add(d,negate(e)))))))),negate(e)))))),
inference(superposition,[],[f567,f13943]) ).
fof(f13970,plain,
negate(e) = negate(add(negate(add(negate(e),add(negate(e),add(negate(e),negate(add(d,add(d,negate(e)))))))),negate(e))),
inference(superposition,[],[f5,f13943]) ).
fof(f14073,plain,
negate(e) = negate(add(negate(e),negate(add(negate(e),add(negate(e),add(negate(e),negate(add(d,add(d,negate(e)))))))))),
inference(forward_demodulation,[],[f13970,f3]) ).
fof(f14079,plain,
d = negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(e),add(negate(e),add(negate(e),negate(add(d,add(d,negate(e))))))))))))),
inference(forward_demodulation,[],[f13962,f1070]) ).
fof(f14102,plain,
negate(add(negate(e),add(negate(e),add(negate(e),negate(add(d,add(d,negate(e)))))))) = negate(add(negate(e),negate(add(d,add(negate(e),negate(add(negate(e),add(negate(e),add(negate(e),negate(add(d,add(d,negate(e))))))))))))),
inference(superposition,[],[f271,f14073]) ).
fof(f14218,plain,
d = negate(add(negate(e),add(negate(e),add(negate(e),negate(add(d,add(d,negate(e)))))))),
inference(forward_demodulation,[],[f14102,f14079]) ).
fof(f16631,plain,
add(negate(e),negate(e)) = negate(add(d,negate(add(d,add(add(d,add(negate(e),negate(e))),add(negate(e),negate(e))))))),
inference(superposition,[],[f406,f9258]) ).
fof(f16725,plain,
add(negate(e),negate(e)) = negate(add(d,negate(add(d,add(add(negate(e),negate(e)),add(d,add(negate(e),negate(e)))))))),
inference(forward_demodulation,[],[f16631,f1070]) ).
fof(f16763,plain,
add(negate(e),negate(e)) = negate(add(d,negate(add(d,add(d,add(add(negate(e),negate(e)),add(negate(e),negate(e)))))))),
inference(forward_demodulation,[],[f16725,f59]) ).
fof(f16778,plain,
add(negate(e),negate(e)) = negate(add(d,negate(add(d,add(d,add(negate(e),add(add(negate(e),negate(e)),negate(e)))))))),
inference(forward_demodulation,[],[f16763,f1303]) ).
fof(f16784,plain,
add(negate(e),negate(e)) = negate(add(d,negate(add(d,add(d,add(negate(e),add(negate(e),add(negate(e),negate(e))))))))),
inference(forward_demodulation,[],[f16778,f1463]) ).
fof(f18320,plain,
! [X2,X3,X0,X1,X4] : add(X4,add(X0,add(X1,add(X2,X3)))) = add(X2,add(X4,add(X3,add(X0,X1)))),
inference(superposition,[],[f26,f50]) ).
fof(f18354,plain,
! [X2,X3,X0,X1,X4] : add(X4,add(X0,add(X1,add(X2,X3)))) = add(X4,add(add(X3,add(X0,X1)),X2)),
inference(superposition,[],[f1070,f50]) ).
fof(f18392,plain,
! [X2,X3,X0,X1,X4] : add(X4,add(X0,add(X1,add(X2,X3)))) = add(X4,add(X3,add(add(X0,X1),X2))),
inference(forward_demodulation,[],[f18354,f4]) ).
fof(f18633,plain,
! [X2,X3,X0,X1,X4] : add(X4,add(X0,add(X1,add(X2,X3)))) = add(X4,add(X3,add(X0,add(X1,X2)))),
inference(forward_demodulation,[],[f18392,f4]) ).
fof(f24684,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X0,add(add(d,negate(e)),X1))),negate(add(X0,add(negate(e),X1))))),
inference(superposition,[],[f1506,f14]) ).
fof(f25062,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X0,add(negate(e),X1))),negate(add(X0,add(add(d,negate(e)),X1))))),
inference(forward_demodulation,[],[f24684,f3]) ).
fof(f25219,plain,
! [X0,X1] : add(X0,X1) = negate(add(negate(add(X0,add(negate(e),X1))),negate(add(X0,add(d,add(negate(e),X1)))))),
inference(forward_demodulation,[],[f25062,f4]) ).
fof(f45817,plain,
add(negate(e),add(negate(e),negate(e))) = negate(add(negate(add(negate(e),add(negate(e),add(negate(e),add(d,add(d,negate(e))))))),d)),
inference(superposition,[],[f189,f14218]) ).
fof(f45985,plain,
add(negate(e),add(negate(e),negate(e))) = negate(add(d,negate(add(negate(e),add(negate(e),add(negate(e),add(d,add(d,negate(e))))))))),
inference(forward_demodulation,[],[f45817,f3]) ).
fof(f46053,plain,
add(negate(e),add(negate(e),negate(e))) = negate(add(d,negate(add(d,add(negate(e),add(add(d,negate(e)),add(negate(e),negate(e)))))))),
inference(forward_demodulation,[],[f45985,f18320]) ).
fof(f46102,plain,
add(negate(e),add(negate(e),negate(e))) = negate(add(d,negate(add(d,add(negate(e),add(negate(e),add(add(d,negate(e)),negate(e)))))))),
inference(forward_demodulation,[],[f46053,f18633]) ).
fof(f46132,plain,
add(negate(e),add(negate(e),negate(e))) = negate(add(d,negate(add(d,add(negate(e),add(negate(e),add(negate(e),add(d,negate(e))))))))),
inference(forward_demodulation,[],[f46102,f18633]) ).
fof(f46147,plain,
add(negate(e),add(negate(e),negate(e))) = negate(add(d,negate(add(d,add(d,add(negate(e),add(negate(e),add(negate(e),negate(e))))))))),
inference(forward_demodulation,[],[f46132,f18320]) ).
fof(f46159,plain,
add(negate(e),negate(e)) = add(negate(e),add(negate(e),negate(e))),
inference(forward_demodulation,[],[f46147,f16784]) ).
fof(f46195,plain,
! [X0] : negate(add(negate(add(X0,add(negate(e),negate(e)))),negate(add(negate(add(negate(e),negate(e))),add(negate(add(negate(e),add(negate(e),add(d,negate(e))))),X0))))) = X0,
inference(superposition,[],[f3526,f46159]) ).
fof(f46234,plain,
add(negate(e),negate(e)) = negate(add(negate(add(negate(e),negate(e))),negate(add(d,add(negate(e),negate(e)))))),
inference(superposition,[],[f271,f46159]) ).
fof(f46240,plain,
! [X0] : add(X0,add(negate(e),negate(e))) = negate(add(negate(add(X0,add(negate(e),negate(e)))),negate(add(X0,add(d,add(negate(e),negate(e))))))),
inference(superposition,[],[f25219,f46159]) ).
fof(f46382,plain,
! [X0] : add(X0,negate(e)) = add(X0,add(negate(e),negate(e))),
inference(forward_demodulation,[],[f46240,f1433]) ).
fof(f46387,plain,
negate(e) = add(negate(e),negate(e)),
inference(forward_demodulation,[],[f46234,f266]) ).
fof(f46410,plain,
! [X0] : negate(add(negate(add(X0,add(negate(e),negate(e)))),negate(add(negate(add(negate(e),negate(e))),add(negate(add(d,add(negate(e),add(negate(e),negate(e))))),X0))))) = X0,
inference(forward_demodulation,[],[f46195,f50]) ).
fof(f46469,plain,
! [X0] : negate(add(negate(add(X0,add(negate(e),negate(e)))),negate(add(negate(add(negate(e),negate(e))),add(negate(add(d,add(negate(e),negate(e)))),X0))))) = X0,
inference(forward_demodulation,[],[f46410,f46382]) ).
fof(f46510,plain,
! [X0] : negate(add(negate(add(X0,add(negate(e),negate(e)))),negate(add(negate(add(negate(e),negate(e))),add(negate(add(d,negate(e))),X0))))) = X0,
inference(forward_demodulation,[],[f46469,f46382]) ).
fof(f46534,plain,
! [X0] : negate(add(negate(add(X0,add(negate(e),negate(e)))),negate(add(negate(add(d,negate(e))),add(X0,negate(add(negate(e),negate(e)))))))) = X0,
inference(forward_demodulation,[],[f46510,f22]) ).
fof(f46544,plain,
! [X0] : negate(add(negate(add(X0,negate(e))),negate(add(negate(add(d,negate(e))),add(X0,negate(negate(e))))))) = X0,
inference(forward_demodulation,[],[f46534,f46387]) ).
fof(f46550,plain,
! [X0] : negate(add(negate(add(X0,negate(e))),negate(add(negate(negate(e)),add(negate(add(d,negate(e))),X0))))) = X0,
inference(forward_demodulation,[],[f46544,f22]) ).
fof(f46555,plain,
! [X0] : negate(add(negate(add(X0,negate(e))),negate(add(negate(negate(e)),add(negate(e),X0))))) = X0,
inference(forward_demodulation,[],[f46550,f14]) ).
fof(f46559,plain,
! [X0] : negate(add(negate(add(X0,negate(e))),negate(add(negate(e),add(X0,negate(negate(e))))))) = X0,
inference(forward_demodulation,[],[f46555,f22]) ).
fof(f46634,plain,
! [X0] : add(X0,negate(e)) = add(negate(e),add(negate(e),X0)),
inference(superposition,[],[f35,f46387]) ).
fof(f46646,plain,
! [X0] : add(X0,negate(e)) = negate(add(negate(add(X0,negate(e))),negate(add(negate(e),add(X0,negate(negate(e))))))),
inference(superposition,[],[f120,f46387]) ).
fof(f46649,plain,
! [X0] : add(negate(e),X0) = negate(add(negate(add(X0,negate(e))),negate(add(negate(e),add(X0,negate(negate(e))))))),
inference(superposition,[],[f124,f46387]) ).
fof(f46715,plain,
! [X0] : add(negate(e),X0) = X0,
inference(forward_demodulation,[],[f46649,f46559]) ).
fof(f46716,plain,
! [X0] : add(X0,negate(e)) = X0,
inference(forward_demodulation,[],[f46646,f46559]) ).
fof(f46992,plain,
! [X0] : negate(add(negate(X0),negate(add(d,X0)))) = X0,
inference(superposition,[],[f271,f46715]) ).
fof(f46995,plain,
! [X0] : d = negate(add(negate(e),negate(add(d,add(negate(X0),negate(add(negate(e),negate(X0)))))))),
inference(superposition,[],[f567,f46715]) ).
fof(f47055,plain,
! [X0] : negate(X0) = negate(add(negate(e),negate(add(negate(X0),negate(negate(add(negate(X0),negate(e)))))))),
inference(superposition,[],[f358,f46715]) ).
fof(f47372,plain,
negate(negate(e)) = negate(add(negate(e),negate(add(d,add(negate(e),add(negate(e),negate(negate(e)))))))),
inference(superposition,[],[f300,f46715]) ).
fof(f47396,plain,
! [X0] : negate(add(negate(e),negate(X0))) = negate(negate(add(X0,add(negate(e),negate(add(negate(e),negate(X0))))))),
inference(superposition,[],[f404,f46715]) ).
fof(f47443,plain,
! [X0] : negate(add(negate(e),negate(X0))) = negate(negate(add(X0,negate(add(negate(e),negate(X0)))))),
inference(forward_demodulation,[],[f47396,f46715]) ).
fof(f47464,plain,
negate(negate(e)) = negate(negate(add(d,add(negate(e),add(negate(e),negate(negate(e))))))),
inference(forward_demodulation,[],[f47372,f46715]) ).
fof(f47729,plain,
! [X0] : negate(X0) = negate(negate(add(negate(X0),negate(negate(add(negate(X0),negate(e))))))),
inference(forward_demodulation,[],[f47055,f46715]) ).
fof(f47772,plain,
! [X0] : d = negate(negate(add(d,add(negate(X0),negate(add(negate(e),negate(X0))))))),
inference(forward_demodulation,[],[f46995,f46715]) ).
fof(f47803,plain,
! [X0] : negate(negate(X0)) = negate(negate(add(X0,negate(negate(X0))))),
inference(forward_demodulation,[],[f47443,f46715]) ).
fof(f47824,plain,
negate(negate(e)) = negate(negate(add(d,add(negate(negate(e)),negate(e))))),
inference(forward_demodulation,[],[f47464,f46634]) ).
fof(f48037,plain,
! [X0] : negate(X0) = negate(negate(add(negate(X0),negate(negate(negate(X0)))))),
inference(forward_demodulation,[],[f47729,f46716]) ).
fof(f48060,plain,
! [X0] : d = negate(negate(add(d,add(negate(X0),negate(negate(X0)))))),
inference(forward_demodulation,[],[f47772,f46715]) ).
fof(f48091,plain,
negate(negate(e)) = negate(negate(add(d,add(negate(e),negate(negate(e)))))),
inference(forward_demodulation,[],[f47824,f1070]) ).
fof(f48241,plain,
! [X0] : negate(X0) = negate(negate(negate(X0))),
inference(forward_demodulation,[],[f48037,f47803]) ).
fof(f48272,plain,
d = negate(negate(e)),
inference(forward_demodulation,[],[f48091,f48060]) ).
fof(f48516,plain,
! [X0] : negate(negate(X0)) = X0,
inference(superposition,[],[f48241,f3590]) ).
fof(f48667,plain,
! [X0,X1] : add(negate(add(X0,X1)),negate(add(X0,negate(X1)))) = negate(X0),
inference(superposition,[],[f48516,f5]) ).
fof(f48806,plain,
d = negate(add(negate(e),negate(add(d,e)))),
inference(superposition,[],[f107,f48516]) ).
fof(f48915,plain,
d = e,
inference(forward_demodulation,[],[f48806,f46992]) ).
fof(f52629,plain,
! [X0] : negate(negate(e)) = add(negate(X0),negate(add(negate(e),negate(X0)))),
inference(superposition,[],[f48667,f46715]) ).
fof(f53706,plain,
! [X0] : negate(negate(e)) = add(negate(X0),negate(negate(X0))),
inference(forward_demodulation,[],[f52629,f46715]) ).
fof(f54206,plain,
! [X0] : negate(negate(e)) = add(negate(X0),X0),
inference(forward_demodulation,[],[f53706,f48516]) ).
fof(f54656,plain,
! [X0] : negate(negate(e)) = add(X0,negate(X0)),
inference(forward_demodulation,[],[f54206,f3]) ).
fof(f55064,plain,
! [X0] : d = add(X0,negate(X0)),
inference(forward_demodulation,[],[f54656,f48272]) ).
fof(f55386,plain,
! [X0] : e = add(X0,negate(X0)),
inference(forward_demodulation,[],[f55064,f48915]) ).
fof(f56482,plain,
! [X0] : negate(add(negate(e),negate(add(X0,negate(negate(X0)))))) = X0,
inference(superposition,[],[f5,f55386]) ).
fof(f56643,plain,
! [X0] : negate(negate(add(X0,negate(negate(X0))))) = X0,
inference(forward_demodulation,[],[f56482,f46715]) ).
fof(f56918,plain,
! [X0] : add(X0,negate(negate(X0))) = X0,
inference(forward_demodulation,[],[f56643,f48516]) ).
fof(f57163,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f56918,f48516]) ).
fof(f58086,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X1,X0)),
inference(superposition,[],[f1240,f57163]) ).
fof(f60085,plain,
! [X0] : add(negate(X0),X0) = add(negate(X0),e),
inference(superposition,[],[f58086,f55386]) ).
fof(f60580,plain,
! [X0] : add(negate(X0),X0) = add(e,negate(X0)),
inference(forward_demodulation,[],[f60085,f3]) ).
fof(f60784,plain,
! [X0] : add(X0,negate(X0)) = add(e,negate(X0)),
inference(forward_demodulation,[],[f60580,f3]) ).
fof(f60934,plain,
! [X0] : e = add(e,negate(X0)),
inference(forward_demodulation,[],[f60784,f55386]) ).
fof(f61347,plain,
! [X0] : e = add(e,X0),
inference(superposition,[],[f60934,f48516]) ).
fof(f62517,plain,
e != add(e,multiply(successor(one),add(d,negate(e)))),
inference(superposition,[],[f64,f61347]) ).
fof(f62580,plain,
$false,
inference(forward_subsumption_resolution,[],[f62517,f61347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB018-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 23:27:17 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 52.20/8.27 % (1419931)Detected a unit-equality problem, will run specialized UEQ schedule.
% 52.20/8.27 % (1419940)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2648419257:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 52.20/8.27 % (1419939)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3649121889:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 52.20/8.27 % (1419938)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=777008218:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 52.20/8.27 % (1419937)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=2762826340:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 52.20/8.27 % (1419942)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1665392038:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 52.20/8.27 % (1419936)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=2202866022:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 52.20/8.27 % (1419941)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3963116276:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 52.20/8.27 % (1419940)Instruction limit reached!
% 52.20/8.27 % (1419940)------------------------------
% 52.20/8.27 % (1419940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419940)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419940)Termination reason: Instruction limit
% 52.20/8.27 % (1419940)Termination phase: Saturation
% 52.20/8.27 % (1419940)Time elapsed: 0.053 s
% 52.20/8.27 % (1419940)Peak memory usage: 90 MB
% 52.20/8.27 % (1419940)Instructions burned: 184 (million)
% 52.20/8.27 % (1419939)Instruction limit reached!
% 52.20/8.27 % (1419939)------------------------------
% 52.20/8.27 % (1419939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419939)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419939)Termination reason: Instruction limit
% 52.20/8.27 % (1419939)Termination phase: Saturation
% 52.20/8.27 % (1419939)Time elapsed: 0.079 s
% 52.20/8.27 % (1419939)Peak memory usage: 89 MB
% 52.20/8.27 % (1419939)Instructions burned: 136 (million)
% 52.20/8.27 % (1419950)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2813037280:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 52.20/8.27 % (1419941)Instruction limit reached!
% 52.20/8.27 % (1419941)------------------------------
% 52.20/8.27 % (1419941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419941)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419941)Termination reason: Instruction limit
% 52.20/8.27 % (1419941)Termination phase: Saturation
% 52.20/8.27 % (1419941)Time elapsed: 0.156 s
% 52.20/8.27 % (1419941)Peak memory usage: 91 MB
% 52.20/8.27 % (1419941)Instructions burned: 258 (million)
% 52.20/8.27 % (1419951)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1303083983:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 52.20/8.27 % (1419953)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3265231782:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 52.20/8.27 % (1419953)Instruction limit reached!
% 52.20/8.27 % (1419953)------------------------------
% 52.20/8.27 % (1419953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419953)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419953)Termination reason: Instruction limit
% 52.20/8.27 % (1419953)Termination phase: Saturation
% 52.20/8.27 % (1419953)Time elapsed: 0.109 s
% 52.20/8.27 % (1419953)Peak memory usage: 92 MB
% 52.20/8.27 % (1419953)Instructions burned: 217 (million)
% 52.20/8.27 % (1419942)Instruction limit reached!
% 52.20/8.27 % (1419942)------------------------------
% 52.20/8.27 % (1419942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419942)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419942)Termination reason: Instruction limit
% 52.20/8.27 % (1419942)Termination phase: Saturation
% 52.20/8.27 % (1419942)Time elapsed: 0.549 s
% 52.20/8.27 % (1419942)Peak memory usage: 95 MB
% 52.20/8.27 % (1419942)Instructions burned: 1188 (million)
% 52.20/8.27 % (1419956)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2157290757:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 52.20/8.27 % (1419957)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=600928905:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 52.20/8.27 % (1419956)Instruction limit reached!
% 52.20/8.27 % (1419956)------------------------------
% 52.20/8.27 % (1419956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419956)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419956)Termination reason: Instruction limit
% 52.20/8.27 % (1419956)Termination phase: Saturation
% 52.20/8.27 % (1419956)Time elapsed: 0.169 s
% 52.20/8.27 % (1419956)Peak memory usage: 91 MB
% 52.20/8.27 % (1419956)Instructions burned: 318 (million)
% 52.20/8.27 % (1419960)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3655508159:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 52.20/8.27 % (1419950)Instruction limit reached!
% 52.20/8.27 % (1419950)------------------------------
% 52.20/8.27 % (1419950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419950)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419950)Termination reason: Instruction limit
% 52.20/8.27 % (1419950)Termination phase: Saturation
% 52.20/8.27 % (1419950)Time elapsed: 0.841 s
% 52.20/8.27 % (1419950)Peak memory usage: 142 MB
% 52.20/8.27 % (1419950)Instructions burned: 2051 (million)
% 52.20/8.27 % (1419962)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3113554279:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2988 on theBenchmark for (2988ds/14534Mi)
% 52.20/8.27 % (1419951)Instruction limit reached!
% 52.20/8.27 % (1419951)------------------------------
% 52.20/8.27 % (1419951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419951)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419951)Termination reason: Instruction limit
% 52.20/8.27 % (1419951)Termination phase: Saturation
% 52.20/8.27 % (1419951)Time elapsed: 1.687 s
% 52.20/8.27 % (1419951)Peak memory usage: 170 MB
% 52.20/8.27 % (1419951)Instructions burned: 4952 (million)
% 52.20/8.27 % (1419964)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=380217178:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2978 on theBenchmark for (2978ds/11832Mi)
% 52.20/8.27 % (1419960)Instruction limit reached!
% 52.20/8.27 % (1419960)------------------------------
% 52.20/8.27 % (1419960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419960)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419960)Termination reason: Instruction limit
% 52.20/8.27 % (1419960)Termination phase: Saturation
% 52.20/8.27 % (1419960)Time elapsed: 1.664 s
% 52.20/8.27 % (1419960)Peak memory usage: 115 MB
% 52.20/8.27 % (1419960)Instructions burned: 2837 (million)
% 52.20/8.27 % (1419966)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=2978303506:i=2279:fgj=on:bd=all_2972 on theBenchmark for (2972ds/2279Mi)
% 52.20/8.27 % (1419966)Instruction limit reached!
% 52.20/8.27 % (1419966)------------------------------
% 52.20/8.27 % (1419966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419966)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419966)Termination reason: Instruction limit
% 52.20/8.27 % (1419966)Termination phase: Saturation
% 52.20/8.27 % (1419966)Time elapsed: 1.330 s
% 52.20/8.27 % (1419966)Peak memory usage: 142 MB
% 52.20/8.27 % (1419966)Instructions burned: 2279 (million)
% 52.20/8.27 % (1419968)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=3973863945:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2956 on theBenchmark for (2956ds/6225Mi)
% 52.20/8.27 % (1419964)Instruction limit reached!
% 52.20/8.27 % (1419964)------------------------------
% 52.20/8.27 % (1419964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.20/8.27 % (1419964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.20/8.27 % (1419964)CaDiCaL version: 2.1.3
% 52.20/8.27 % (1419964)Termination reason: Instruction limit
% 52.20/8.27 % (1419964)Termination phase: Saturation
% 52.20/8.27 % (1419964)Time elapsed: 3.809 s
% 52.20/8.27 % (1419964)Peak memory usage: 222 MB
% 52.20/8.27 % (1419964)Instructions burned: 11833 (million)
% 52.20/8.27 % (1419970)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=2551934144:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2939 on theBenchmark for (2939ds/21755Mi)
% 52.20/8.27 % (1419937)First to succeed.
% 52.20/8.27 % (1419937)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1419931"
% 52.20/8.27 % (1419937)Refutation found. Thanks to Tanya!
% 52.20/8.27 % SZS status Unsatisfiable for theBenchmark
% 52.20/8.27 % SZS output start Proof for theBenchmark
% See solution above
% 52.81/8.47 % (1419937)------------------------------
% 52.81/8.47 % (1419937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.81/8.47 % (1419937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.81/8.47 % (1419937)CaDiCaL version: 2.1.3
% 52.81/8.47 % (1419937)Termination reason: Refutation
% 52.81/8.47 % (1419937)Time elapsed: 6.915 s
% 52.81/8.47 % (1419937)Peak memory usage: 244 MB
% 52.81/8.47 % (1419937)Instructions burned: 12535 (million)
% 52.81/8.47 % (1419937)------------------------------
% 52.81/8.47 % (1419937)------------------------------
% 52.81/8.47 % (1419931)Success in time 7.392 s
% 52.81/8.47 % Vampire exiting
%------------------------------------------------------------------------------