%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP091-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 10:12:33 AM UTC 2026
% Result : Unsatisfiable 4.90s 1.61s
% Output : Refutation 5.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 9
% Syntax : Number of formulae : 112 ( 65 unt; 4 def)
% Number of atoms : 167 ( 102 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 106 ( 51 ~; 51 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 167 ( 0 sgn 167 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f5]) ).
fof(f8,definition,
( spl0_1
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f10,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f12,definition,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f14,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f16,definition,
( spl0_3
<=> a2 = multiply(multiply(inverse(b2),b2),a2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f18,plain,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| spl0_3 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f20,definition,
( spl0_4
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f22,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_4 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f23,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f6,f20,f16,f12,f8]) ).
fof(f24,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(forward_demodulation,[],[f3,f4]) ).
fof(f25,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f26,plain,
( multiply(a4,b4) != divide(b4,divide(identity,a4))
| spl0_1 ),
inference(forward_demodulation,[],[f10,f25]) ).
fof(f27,plain,
( divide(b4,divide(identity,a4)) != divide(a4,divide(identity,b4))
| spl0_1 ),
inference(forward_demodulation,[],[f26,f25]) ).
fof(f28,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X0) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f33,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f28,f4]) ).
fof(f36,plain,
! [X0,X1] : divide(divide(X1,X0),divide(identity,X0)) = X1,
inference(superposition,[],[f1,f28]) ).
fof(f40,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(X1,X0),X1),
inference(superposition,[],[f28,f33]) ).
fof(f41,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f28,f33]) ).
fof(f47,plain,
! [X0,X1] : divide(X0,divide(divide(X0,identity),X1)) = X1,
inference(superposition,[],[f1,f41]) ).
fof(f49,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f47,f41]) ).
fof(f61,plain,
! [X0,X1] : divide(X0,divide(identity,divide(X1,X0))) = X1,
inference(superposition,[],[f36,f49]) ).
fof(f62,plain,
! [X2,X0,X1] : divide(X1,divide(divide(X1,X2),X0)) = divide(X0,divide(identity,X2)),
inference(superposition,[],[f36,f1]) ).
fof(f75,plain,
! [X0,X1] : divide(X0,X1) = divide(identity,divide(X1,X0)),
inference(superposition,[],[f40,f49]) ).
fof(f95,plain,
! [X2,X0,X1] : divide(X1,divide(identity,X0)) = divide(X2,divide(divide(X2,X1),X0)),
inference(superposition,[],[f61,f1]) ).
fof(f106,plain,
! [X2,X0,X1] : divide(divide(X1,X0),X2) = divide(identity,divide(X0,divide(X1,X2))),
inference(superposition,[],[f1,f61]) ).
fof(f114,plain,
! [X2,X0,X1] : divide(X0,divide(identity,X2)) = divide(X1,divide(identity,divide(X2,divide(X1,X0)))),
inference(backward_demodulation,[],[f62,f106]) ).
fof(f116,plain,
! [X0,X1] : divide(identity,divide(X0,divide(X1,divide(identity,X0)))) = X1,
inference(backward_demodulation,[],[f36,f106]) ).
fof(f128,plain,
! [X2,X0,X1] : divide(X1,divide(identity,X0)) = divide(X2,divide(identity,divide(X1,divide(X2,X0)))),
inference(forward_demodulation,[],[f95,f106]) ).
fof(f177,plain,
( divide(a4,divide(identity,b4)) != divide(identity,divide(divide(identity,a4),b4))
| spl0_1 ),
inference(superposition,[],[f27,f75]) ).
fof(f183,plain,
( divide(a4,divide(identity,b4)) != divide(identity,divide(identity,divide(a4,divide(identity,b4))))
| spl0_1 ),
inference(forward_demodulation,[],[f177,f106]) ).
fof(f186,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f183,f128]) ).
fof(f187,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f190,plain,
( multiply(multiply(a3,b3),c3) != divide(a3,divide(identity,multiply(b3,c3)))
| spl0_2 ),
inference(forward_demodulation,[],[f14,f25]) ).
fof(f192,plain,
( multiply(multiply(a3,b3),c3) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f190,f25]) ).
fof(f194,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(multiply(a3,b3),divide(identity,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f192,f25]) ).
fof(f196,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(divide(identity,c3),multiply(a3,b3)))
| spl0_2 ),
inference(forward_demodulation,[],[f194,f75]) ).
fof(f197,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(identity,divide(c3,divide(identity,multiply(a3,b3)))))
| spl0_2 ),
inference(forward_demodulation,[],[f196,f106]) ).
fof(f198,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(c3,divide(identity,multiply(a3,b3)))
| spl0_2 ),
inference(forward_demodulation,[],[f197,f49]) ).
fof(f199,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(c3,divide(identity,divide(a3,divide(identity,b3))))
| spl0_2 ),
inference(forward_demodulation,[],[f198,f25]) ).
fof(f200,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(divide(identity,divide(a3,divide(identity,b3))),c3))
| spl0_2 ),
inference(forward_demodulation,[],[f199,f75]) ).
fof(f201,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(identity,divide(divide(a3,divide(identity,b3)),divide(identity,c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f200,f106]) ).
fof(f202,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f201,f49]) ).
fof(f203,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(divide(identity,b3),divide(a3,divide(identity,c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f202,f106]) ).
fof(f204,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(identity,divide(b3,divide(identity,divide(a3,divide(identity,c3))))))
| spl0_2 ),
inference(forward_demodulation,[],[f203,f106]) ).
fof(f205,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(b3,divide(identity,divide(a3,divide(identity,c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f204,f49]) ).
fof(f206,plain,
! [X2,X0,X1] : divide(identity,divide(divide(X1,X0),divide(X2,divide(X0,X1)))) = X2,
inference(superposition,[],[f116,f75]) ).
fof(f225,plain,
! [X0,X1] : divide(identity,X0) = divide(X1,divide(X0,divide(identity,X1))),
inference(superposition,[],[f49,f116]) ).
fof(f239,plain,
! [X2,X0,X1] : divide(identity,divide(identity,divide(X0,divide(X1,divide(X2,divide(X0,X1)))))) = X2,
inference(forward_demodulation,[],[f206,f106]) ).
fof(f247,plain,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
inference(forward_demodulation,[],[f239,f49]) ).
fof(f278,plain,
! [X0,X1] : divide(X0,divide(identity,X1)) = divide(X1,divide(identity,X0)),
inference(superposition,[],[f49,f225]) ).
fof(f327,plain,
! [X2,X0,X1] : divide(X1,X0) = divide(X2,divide(X0,divide(X1,X2))),
inference(superposition,[],[f49,f247]) ).
fof(f491,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(X0,divide(X2,divide(identity,divide(X0,X1)))),
inference(superposition,[],[f327,f75]) ).
fof(f533,plain,
! [X2,X0,X1] : divide(X1,divide(X0,X2)) = divide(X2,divide(X0,X1)),
inference(superposition,[],[f49,f327]) ).
fof(f630,plain,
! [X2,X0,X1] : divide(X0,divide(X1,X2)) = divide(X2,divide(identity,divide(X0,X1))),
inference(superposition,[],[f533,f75]) ).
fof(f1052,plain,
! [X2,X3,X0,X1] : divide(identity,divide(divide(X1,X0),divide(X2,X3))) = divide(divide(X0,divide(X1,X2)),X3),
inference(superposition,[],[f106,f533]) ).
fof(f1114,plain,
! [X2,X3,X0,X1] : divide(identity,divide(divide(X1,X0),divide(X2,X3))) = divide(identity,divide(divide(X1,X2),divide(X0,X3))),
inference(forward_demodulation,[],[f1052,f106]) ).
fof(f1128,plain,
! [X2,X3,X0,X1] : divide(identity,divide(divide(X1,X0),divide(X2,X3))) = divide(identity,divide(identity,divide(X2,divide(X1,divide(X0,X3))))),
inference(forward_demodulation,[],[f1114,f106]) ).
fof(f1142,plain,
! [X2,X3,X0,X1] : divide(identity,divide(divide(X1,X0),divide(X2,X3))) = divide(X2,divide(X1,divide(X0,X3))),
inference(forward_demodulation,[],[f1128,f49]) ).
fof(f1154,plain,
! [X2,X3,X0,X1] : divide(X2,divide(X1,divide(X0,X3))) = divide(identity,divide(identity,divide(X0,divide(X1,divide(X2,X3))))),
inference(forward_demodulation,[],[f1142,f106]) ).
fof(f1165,plain,
! [X2,X3,X0,X1] : divide(X0,divide(X1,divide(X2,X3))) = divide(X2,divide(X1,divide(X0,X3))),
inference(forward_demodulation,[],[f1154,f49]) ).
fof(f1468,plain,
! [X2,X0,X1] : divide(divide(X0,divide(identity,X1)),X2) = divide(X1,divide(X2,X0)),
inference(superposition,[],[f491,f247]) ).
fof(f1600,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X0)) = divide(identity,divide(divide(identity,X1),divide(X0,X2))),
inference(forward_demodulation,[],[f1468,f106]) ).
fof(f1666,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X0)) = divide(identity,divide(identity,divide(X1,divide(identity,divide(X0,X2))))),
inference(forward_demodulation,[],[f1600,f106]) ).
fof(f1708,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X0)) = divide(X1,divide(identity,divide(X0,X2))),
inference(forward_demodulation,[],[f1666,f49]) ).
fof(f2457,plain,
! [X2,X3,X0,X1] : divide(X2,divide(identity,divide(X3,divide(X1,X0)))) = divide(X3,divide(identity,divide(X0,divide(X1,X2)))),
inference(superposition,[],[f630,f106]) ).
fof(f2957,plain,
! [X2,X3,X0,X1] : divide(X3,divide(X0,divide(X1,X2))) = divide(X3,divide(identity,divide(divide(identity,divide(X0,X1)),X2))),
inference(superposition,[],[f1708,f630]) ).
fof(f3227,plain,
! [X2,X3,X0,X1] : divide(X3,divide(X0,divide(X1,X2))) = divide(X3,divide(identity,divide(identity,divide(divide(X0,X1),divide(identity,X2))))),
inference(forward_demodulation,[],[f2957,f106]) ).
fof(f3292,plain,
! [X2,X3,X0,X1] : divide(X3,divide(X0,divide(X1,X2))) = divide(X3,divide(divide(X0,X1),divide(identity,X2))),
inference(forward_demodulation,[],[f3227,f49]) ).
fof(f3329,plain,
! [X2,X3,X0,X1] : divide(X3,divide(X0,divide(X1,X2))) = divide(X3,divide(identity,divide(X1,divide(X0,divide(identity,X2))))),
inference(forward_demodulation,[],[f3292,f106]) ).
fof(f3520,plain,
! [X2,X3,X0,X1] : divide(identity,divide(divide(identity,divide(X1,divide(X2,X0))),divide(X2,X3))) = divide(divide(X0,divide(identity,X1)),X3),
inference(superposition,[],[f106,f114]) ).
fof(f3554,plain,
! [X2,X3,X0,X1] : divide(identity,divide(divide(identity,divide(X1,divide(X2,X0))),divide(X2,X3))) = divide(identity,divide(divide(identity,X1),divide(X0,X3))),
inference(forward_demodulation,[],[f3520,f106]) ).
fof(f3698,plain,
! [X2,X3,X0,X1] : divide(identity,divide(divide(identity,divide(X1,divide(X2,X0))),divide(X2,X3))) = divide(identity,divide(identity,divide(X1,divide(identity,divide(X0,X3))))),
inference(forward_demodulation,[],[f3554,f106]) ).
fof(f3795,plain,
! [X2,X3,X0,X1] : divide(X1,divide(identity,divide(X0,X3))) = divide(identity,divide(divide(identity,divide(X1,divide(X2,X0))),divide(X2,X3))),
inference(forward_demodulation,[],[f3698,f49]) ).
fof(f3848,plain,
! [X2,X3,X0,X1] : divide(X1,divide(identity,divide(X0,X3))) = divide(identity,divide(identity,divide(divide(X1,divide(X2,X0)),divide(identity,divide(X2,X3))))),
inference(forward_demodulation,[],[f3795,f106]) ).
fof(f3878,plain,
! [X2,X3,X0,X1] : divide(X1,divide(identity,divide(X0,X3))) = divide(divide(X1,divide(X2,X0)),divide(identity,divide(X2,X3))),
inference(forward_demodulation,[],[f3848,f49]) ).
fof(f3894,plain,
! [X2,X3,X0,X1] : divide(X1,divide(identity,divide(X0,X3))) = divide(X2,divide(identity,divide(divide(X1,divide(X2,X0)),X3))),
inference(forward_demodulation,[],[f3878,f1165]) ).
fof(f3906,plain,
! [X2,X3,X0,X1] : divide(X1,divide(identity,divide(X0,X3))) = divide(X2,divide(identity,divide(identity,divide(divide(X2,X0),divide(X1,X3))))),
inference(forward_demodulation,[],[f3894,f106]) ).
fof(f3916,plain,
! [X2,X3,X0,X1] : divide(X1,divide(identity,divide(X0,X3))) = divide(X2,divide(divide(X2,X0),divide(X1,X3))),
inference(forward_demodulation,[],[f3906,f49]) ).
fof(f3920,plain,
! [X2,X3,X0,X1] : divide(X1,divide(identity,divide(X0,X3))) = divide(X2,divide(identity,divide(X0,divide(X2,divide(X1,X3))))),
inference(forward_demodulation,[],[f3916,f106]) ).
fof(f4099,plain,
( ! [X0] : divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(X0,divide(identity,divide(b3,divide(X0,divide(a3,divide(identity,c3))))))
| spl0_2 ),
inference(superposition,[],[f205,f128]) ).
fof(f4161,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f4099,f3920]) ).
fof(f4162,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f4161]) ).
fof(f4383,plain,
( a2 != divide(multiply(inverse(b2),b2),divide(identity,a2))
| spl0_3 ),
inference(forward_demodulation,[],[f18,f25]) ).
fof(f4385,plain,
( a2 != divide(a2,divide(identity,multiply(inverse(b2),b2)))
| spl0_3 ),
inference(forward_demodulation,[],[f4383,f278]) ).
fof(f4387,plain,
( a2 != divide(a2,divide(identity,divide(inverse(b2),divide(identity,b2))))
| spl0_3 ),
inference(forward_demodulation,[],[f4385,f25]) ).
fof(f4389,plain,
( a2 != divide(b2,divide(identity,divide(a2,divide(identity,inverse(b2)))))
| spl0_3 ),
inference(forward_demodulation,[],[f4387,f2457]) ).
fof(f4391,plain,
( a2 != divide(b2,divide(identity,divide(a2,divide(identity,divide(identity,b2)))))
| spl0_3 ),
inference(forward_demodulation,[],[f4389,f24]) ).
fof(f4392,plain,
( a2 != divide(b2,divide(identity,divide(a2,b2)))
| spl0_3 ),
inference(forward_demodulation,[],[f4391,f3329]) ).
fof(f4393,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f4392,f61]) ).
fof(f4394,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f4393]) ).
fof(f4396,plain,
( multiply(inverse(a1),a1) != divide(inverse(b1),divide(identity,b1))
| spl0_4 ),
inference(forward_demodulation,[],[f22,f25]) ).
fof(f4398,plain,
( multiply(inverse(a1),a1) != divide(b1,divide(identity,inverse(b1)))
| spl0_4 ),
inference(forward_demodulation,[],[f4396,f278]) ).
fof(f4400,plain,
( multiply(inverse(a1),a1) != divide(b1,divide(identity,divide(identity,b1)))
| spl0_4 ),
inference(forward_demodulation,[],[f4398,f24]) ).
fof(f4402,plain,
( identity != multiply(inverse(a1),a1)
| spl0_4 ),
inference(forward_demodulation,[],[f4400,f61]) ).
fof(f4404,plain,
( identity != divide(inverse(a1),divide(identity,a1))
| spl0_4 ),
inference(forward_demodulation,[],[f4402,f25]) ).
fof(f4406,plain,
( identity != divide(a1,divide(identity,inverse(a1)))
| spl0_4 ),
inference(forward_demodulation,[],[f4404,f278]) ).
fof(f4407,plain,
( identity != divide(a1,divide(identity,divide(identity,a1)))
| spl0_4 ),
inference(forward_demodulation,[],[f4406,f24]) ).
fof(f4408,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f4407,f61]) ).
fof(f4409,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f4408]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f23]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f187]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f4162]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f4394]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f4409]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s4,s3,s2]) ).
fof(f4410,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP091-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:22:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.90/1.61 % (1389160)Input is clausal, will run a generic CNF schedule.
% 4.90/1.61 % (1389169)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1912511966:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.90/1.61 % (1389170)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3445236009:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.90/1.61 % (1389168)lrs+10_1_sil=8000:sp=occurrence:random_seed=1127918844:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.90/1.61 % (1389167)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1089821208:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.90/1.61 % (1389171)dis-21_1_sil=8000:lcm=predicate:random_seed=1133137631: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)
% 4.90/1.61 % (1389165)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=3028133258:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.90/1.61 % (1389166)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2151503112:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.90/1.61 % (1389171)Refutation not found, incomplete strategy
% 4.90/1.61 % (1389171)------------------------------
% 4.90/1.61 % (1389171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.61 % (1389171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.61 % (1389171)CaDiCaL version: 2.1.3
% 4.90/1.61 % (1389171)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.61 % (1389171)Time elapsed: 0.001 s
% 4.90/1.61 % (1389171)Peak memory usage: 88 MB
% 4.90/1.61 % (1389169)Instruction limit reached!
% 4.90/1.61 % (1389169)------------------------------
% 4.90/1.61 % (1389169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.61 % (1389169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.61 % (1389169)CaDiCaL version: 2.1.3
% 4.90/1.61 % (1389169)Termination reason: Instruction limit
% 4.90/1.61 % (1389169)Termination phase: Saturation
% 4.90/1.61 % (1389169)Time elapsed: 0.044 s
% 4.90/1.61 % (1389169)Peak memory usage: 89 MB
% 4.90/1.61 % (1389169)Instructions burned: 128 (million)
% 4.90/1.61 % (1389170)Instruction limit reached!
% 4.90/1.61 % (1389170)------------------------------
% 4.90/1.61 % (1389170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.61 % (1389170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.61 % (1389170)CaDiCaL version: 2.1.3
% 4.90/1.61 % (1389170)Termination reason: Instruction limit
% 4.90/1.61 % (1389170)Termination phase: Saturation
% 4.90/1.61 % (1389170)Time elapsed: 0.063 s
% 4.90/1.61 % (1389170)Peak memory usage: 89 MB
% 4.90/1.61 % (1389170)Instructions burned: 180 (million)
% 4.90/1.61 % (1389168)Instruction limit reached!
% 4.90/1.61 % (1389168)------------------------------
% 4.90/1.61 % (1389168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.61 % (1389168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.61 % (1389168)CaDiCaL version: 2.1.3
% 4.90/1.61 % (1389168)Termination reason: Instruction limit
% 4.90/1.61 % (1389168)Termination phase: Saturation
% 4.90/1.61 % (1389168)Time elapsed: 0.065 s
% 4.90/1.61 % (1389168)Peak memory usage: 89 MB
% 4.90/1.61 % (1389168)Instructions burned: 108 (million)
% 4.90/1.61 % (1389179)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=568980510:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.90/1.61 % (1389179)Refutation not found, incomplete strategy
% 4.90/1.61 % (1389179)------------------------------
% 4.90/1.61 % (1389179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.61 % (1389179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.61 % (1389179)CaDiCaL version: 2.1.3
% 4.90/1.61 % (1389179)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.61 % (1389179)Time elapsed: 0.001 s
% 4.90/1.61 % (1389179)Peak memory usage: 88 MB
% 4.90/1.61 % (1389180)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1238989445: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)
% 4.90/1.61 % (1389180)Refutation not found, incomplete strategy
% 4.90/1.61 % (1389180)------------------------------
% 4.90/1.61 % (1389180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.61 % (1389180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.61 % (1389180)CaDiCaL version: 2.1.3
% 4.90/1.61 % (1389180)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.61 % (1389180)Time elapsed: 0.001 s
% 4.90/1.61 % (1389180)Peak memory usage: 88 MB
% 4.90/1.61 % (1389181)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2658741716:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.90/1.61 % (1389181)Refutation not found, incomplete strategy
% 4.90/1.61 % (1389181)------------------------------
% 4.90/1.61 % (1389181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.61 % (1389181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.61 % (1389181)CaDiCaL version: 2.1.3
% 4.90/1.61 % (1389181)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.61 % (1389181)Time elapsed: 0.001 s
% 4.90/1.61 % (1389181)Peak memory usage: 88 MB
% 4.90/1.61 % (1389171)------------------------------
% 4.90/1.61 % (1389171)------------------------------
% 4.90/1.61 % (1389180)------------------------------
% 4.90/1.61 % (1389180)------------------------------
% 4.90/1.61 % (1389179)------------------------------
% 4.90/1.61 % (1389179)------------------------------
% 4.90/1.61 % (1389185)lrs+10_64_to=lpo:sil=8000:random_seed=3271588932:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.90/1.61 % (1389186)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3900498681:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.90/1.61 % (1389181)------------------------------
% 4.90/1.61 % (1389181)------------------------------
% 4.90/1.61 % (1389185)Instruction limit reached!
% 4.90/1.61 % (1389185)------------------------------
% 4.90/1.61 % (1389185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.61 % (1389185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.61 % (1389185)CaDiCaL version: 2.1.3
% 4.90/1.61 % (1389185)Termination reason: Instruction limit
% 4.90/1.61 % (1389185)Termination phase: Saturation
% 4.90/1.61 % (1389185)Time elapsed: 0.068 s
% 4.90/1.61 % (1389185)Peak memory usage: 88 MB
% 4.90/1.61 % (1389185)Instructions burned: 127 (million)
% 4.90/1.61 % (1389186)First to succeed.
% 4.90/1.61 % (1389186)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1389160"
% 4.90/1.61 % (1389188)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=629937980:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 4.90/1.61 % (1389190)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1634430788:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 4.90/1.61 % (1389191)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=2730562658:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.90/1.61 % (1389188)Instruction limit reached!
% 4.90/1.61 % (1389188)------------------------------
% 4.90/1.61 % (1389188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.61 % (1389188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.61 % (1389188)CaDiCaL version: 2.1.3
% 4.90/1.61 % (1389188)Termination reason: Instruction limit
% 4.90/1.61 % (1389188)Termination phase: Saturation
% 4.90/1.61 % (1389188)Time elapsed: 0.101 s
% 4.90/1.61 % (1389188)Peak memory usage: 91 MB
% 4.90/1.61 % (1389188)Instructions burned: 158 (million)
% 4.90/1.61 % (1389186)Refutation found. Thanks to Tanya!
% 4.90/1.61 % SZS status Unsatisfiable for theBenchmark
% 4.90/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 5.99/1.81 % (1389186)------------------------------
% 5.99/1.81 % (1389186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.81 % (1389186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.81 % (1389186)CaDiCaL version: 2.1.3
% 5.99/1.81 % (1389186)Termination reason: Refutation
% 5.99/1.81 % (1389186)Time elapsed: 0.065 s
% 5.99/1.81 % (1389186)Peak memory usage: 91 MB
% 5.99/1.81 % (1389186)Instructions burned: 200 (million)
% 5.99/1.81 % (1389186)------------------------------
% 5.99/1.81 % (1389186)------------------------------
% 5.99/1.81 % (1389160)Success in time 0.759 s
% 5.99/1.81 % Vampire exiting
%------------------------------------------------------------------------------