%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP181-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 10:13:13 AM UTC 2026
% Result : Unsatisfiable 233.22s 36.13s
% Output : Refutation 250.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 133 ( 76 unt; 6 def)
% Number of atoms : 203 ( 113 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 136 ( 66 ~; 64 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 194 ( 0 sgn 194 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f6,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f7,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_glb) ).
fof(f8,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_lub) ).
fof(f11,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb1) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub2) ).
fof(f16,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb2) ).
fof(f17,axiom,
inverse(identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).
fof(f18,plain,
identity = inverse(identity),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_2) ).
fof(f20,axiom,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_3) ).
fof(f21,axiom,
greatest_lower_bound(a,c) = greatest_lower_bound(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_4) ).
fof(f22,axiom,
least_upper_bound(a,c) = least_upper_bound(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_5) ).
fof(f23,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p12) ).
fof(f25,definition,
( spl0_1
<=> a = b ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f27,plain,
( a != b
| spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f23,f25]) ).
fof(f30,definition,
( spl0_2
<=> least_upper_bound(a,c) = least_upper_bound(b,c) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f32,plain,
( least_upper_bound(a,c) = least_upper_bound(b,c)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
spl0_2,
inference(avatar_split_clause,[],[f22,f30]) ).
fof(f35,definition,
( spl0_3
<=> greatest_lower_bound(a,c) = greatest_lower_bound(b,c) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f37,plain,
( greatest_lower_bound(a,c) = greatest_lower_bound(b,c)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,plain,
spl0_3,
inference(avatar_split_clause,[],[f21,f35]) ).
fof(f40,definition,
( spl0_4
<=> identity = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f42,plain,
( identity = inverse(identity)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
spl0_4,
inference(avatar_split_clause,[],[f18,f40]) ).
fof(f44,plain,
( least_upper_bound(a,c) = least_upper_bound(c,b)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f32,f6]) ).
fof(f45,plain,
( greatest_lower_bound(a,c) = greatest_lower_bound(c,b)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f37,f5]) ).
fof(f46,plain,
( least_upper_bound(c,b) = least_upper_bound(c,a)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f44,f6]) ).
fof(f47,plain,
( greatest_lower_bound(c,b) = greatest_lower_bound(c,a)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f45,f5]) ).
fof(f49,definition,
( spl0_5
<=> least_upper_bound(c,b) = least_upper_bound(c,a) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f51,plain,
( least_upper_bound(c,b) = least_upper_bound(c,a)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f46,f30,f49]) ).
fof(f54,definition,
( spl0_6
<=> greatest_lower_bound(c,b) = greatest_lower_bound(c,a) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f56,plain,
( greatest_lower_bound(c,b) = greatest_lower_bound(c,a)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f47,f35,f54]) ).
fof(f58,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
inference(superposition,[],[f20,f19]) ).
fof(f60,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = multiply(inverse(multiply(X0,X1)),X2),
inference(superposition,[],[f4,f20]) ).
fof(f101,plain,
! [X0,X1] : greatest_lower_bound(X1,least_upper_bound(X0,X1)) = X1,
inference(superposition,[],[f12,f6]) ).
fof(f115,plain,
! [X0,X1] : least_upper_bound(X1,greatest_lower_bound(X0,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f121,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(greatest_lower_bound(X0,X1),X0),
inference(superposition,[],[f101,f11]) ).
fof(f123,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X0,X1)),
inference(forward_demodulation,[],[f121,f5]) ).
fof(f127,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(least_upper_bound(X0,X1),X0),
inference(superposition,[],[f115,f12]) ).
fof(f143,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X0,X1)),
inference(forward_demodulation,[],[f127,f6]) ).
fof(f158,plain,
( ! [X0] : multiply(inverse(X0),identity) = inverse(multiply(identity,X0))
| ~ spl0_4 ),
inference(superposition,[],[f20,f42]) ).
fof(f162,plain,
( ! [X0] : inverse(X0) = multiply(inverse(X0),identity)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f158,f1]) ).
fof(f176,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f3,f19]) ).
fof(f185,plain,
! [X0,X1] : multiply(greatest_lower_bound(inverse(X0),X1),X0) = greatest_lower_bound(identity,multiply(X1,X0)),
inference(superposition,[],[f16,f3]) ).
fof(f187,plain,
! [X0,X1] : multiply(least_upper_bound(inverse(X0),X1),X0) = least_upper_bound(identity,multiply(X1,X0)),
inference(superposition,[],[f15,f3]) ).
fof(f188,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f4,f3]) ).
fof(f189,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f188,f1]) ).
fof(f296,plain,
! [X0,X1] : multiply(inverse(X0),greatest_lower_bound(X0,X1)) = greatest_lower_bound(identity,multiply(inverse(X0),X1)),
inference(superposition,[],[f14,f3]) ).
fof(f304,plain,
! [X0,X1] : multiply(inverse(X0),greatest_lower_bound(X1,X0)) = greatest_lower_bound(multiply(inverse(X0),X1),identity),
inference(superposition,[],[f14,f3]) ).
fof(f306,plain,
! [X2,X0,X1] : multiply(inverse(X1),greatest_lower_bound(X2,multiply(X1,X0))) = greatest_lower_bound(multiply(inverse(X1),X2),X0),
inference(superposition,[],[f14,f189]) ).
fof(f321,plain,
! [X0,X1] : greatest_lower_bound(identity,multiply(inverse(X0),X1)) = multiply(inverse(X0),greatest_lower_bound(X1,X0)),
inference(forward_demodulation,[],[f304,f5]) ).
fof(f339,plain,
! [X0,X1] : least_upper_bound(multiply(X0,X1),identity) = multiply(X0,least_upper_bound(X1,inverse(X0))),
inference(superposition,[],[f13,f176]) ).
fof(f343,plain,
! [X0,X1] : multiply(inverse(X0),least_upper_bound(X1,X0)) = least_upper_bound(multiply(inverse(X0),X1),identity),
inference(superposition,[],[f13,f3]) ).
fof(f345,plain,
! [X2,X0,X1] : multiply(inverse(X1),least_upper_bound(X2,multiply(X1,X0))) = least_upper_bound(multiply(inverse(X1),X2),X0),
inference(superposition,[],[f13,f189]) ).
fof(f360,plain,
! [X0,X1] : least_upper_bound(identity,multiply(inverse(X0),X1)) = multiply(inverse(X0),least_upper_bound(X1,X0)),
inference(forward_demodulation,[],[f343,f6]) ).
fof(f363,plain,
! [X0,X1] : least_upper_bound(identity,multiply(X0,X1)) = multiply(X0,least_upper_bound(X1,inverse(X0))),
inference(forward_demodulation,[],[f339,f6]) ).
fof(f408,plain,
! [X2,X0,X1] : greatest_lower_bound(X0,X1) = least_upper_bound(greatest_lower_bound(X0,X1),greatest_lower_bound(X0,greatest_lower_bound(X1,X2))),
inference(superposition,[],[f11,f7]) ).
fof(f433,plain,
! [X0,X1] : multiply(inverse(greatest_lower_bound(inverse(X1),X0)),greatest_lower_bound(identity,multiply(X0,X1))) = X1,
inference(superposition,[],[f189,f185]) ).
fof(f467,plain,
! [X2,X0,X1] : least_upper_bound(X0,X1) = greatest_lower_bound(least_upper_bound(X0,X1),least_upper_bound(X0,least_upper_bound(X1,X2))),
inference(superposition,[],[f12,f8]) ).
fof(f492,plain,
! [X0,X1] : multiply(inverse(least_upper_bound(inverse(X1),X0)),least_upper_bound(identity,multiply(X0,X1))) = X1,
inference(superposition,[],[f189,f187]) ).
fof(f1497,plain,
! [X0,X1] : least_upper_bound(X1,inverse(X0)) = multiply(inverse(greatest_lower_bound(inverse(least_upper_bound(X1,inverse(X0))),X0)),greatest_lower_bound(identity,least_upper_bound(identity,multiply(X0,X1)))),
inference(superposition,[],[f433,f363]) ).
fof(f1518,plain,
! [X0,X1] : least_upper_bound(X1,inverse(X0)) = multiply(inverse(greatest_lower_bound(inverse(least_upper_bound(X1,inverse(X0))),X0)),identity),
inference(forward_demodulation,[],[f1497,f12]) ).
fof(f1541,plain,
( ! [X0,X1] : least_upper_bound(X1,inverse(X0)) = inverse(greatest_lower_bound(inverse(least_upper_bound(X1,inverse(X0))),X0))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1518,f162]) ).
fof(f1558,plain,
( ! [X0,X1] : least_upper_bound(X1,inverse(X0)) = inverse(greatest_lower_bound(X0,inverse(least_upper_bound(X1,inverse(X0)))))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1541,f5]) ).
fof(f1892,plain,
! [X0,X1] : least_upper_bound(X1,X0) = multiply(inverse(greatest_lower_bound(inverse(least_upper_bound(X1,X0)),inverse(X0))),greatest_lower_bound(identity,least_upper_bound(identity,multiply(inverse(X0),X1)))),
inference(superposition,[],[f433,f360]) ).
fof(f1895,plain,
! [X0,X1] : least_upper_bound(X1,X0) = multiply(inverse(greatest_lower_bound(inverse(least_upper_bound(X1,X0)),inverse(X0))),identity),
inference(forward_demodulation,[],[f1892,f12]) ).
fof(f1943,plain,
( ! [X0,X1] : least_upper_bound(X1,X0) = inverse(greatest_lower_bound(inverse(least_upper_bound(X1,X0)),inverse(X0)))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1895,f162]) ).
fof(f1976,plain,
( ! [X0,X1] : least_upper_bound(X1,X0) = inverse(greatest_lower_bound(inverse(X0),inverse(least_upper_bound(X1,X0))))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1943,f5]) ).
fof(f2079,plain,
! [X0,X1] : greatest_lower_bound(X1,X0) = multiply(inverse(least_upper_bound(inverse(greatest_lower_bound(X1,X0)),inverse(X0))),least_upper_bound(identity,greatest_lower_bound(identity,multiply(inverse(X0),X1)))),
inference(superposition,[],[f492,f321]) ).
fof(f2080,plain,
! [X0,X1] : greatest_lower_bound(X1,X0) = multiply(inverse(least_upper_bound(inverse(greatest_lower_bound(X1,X0)),inverse(X0))),identity),
inference(forward_demodulation,[],[f2079,f11]) ).
fof(f2130,plain,
( ! [X0,X1] : greatest_lower_bound(X1,X0) = inverse(least_upper_bound(inverse(greatest_lower_bound(X1,X0)),inverse(X0)))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2080,f162]) ).
fof(f2166,plain,
( ! [X0,X1] : greatest_lower_bound(X1,X0) = inverse(least_upper_bound(inverse(X0),inverse(greatest_lower_bound(X1,X0))))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2130,f6]) ).
fof(f2278,plain,
! [X0,X1] : multiply(inverse(greatest_lower_bound(inverse(X0),X1)),greatest_lower_bound(identity,multiply(greatest_lower_bound(inverse(X0),X1),X0))) = X0,
inference(superposition,[],[f433,f123]) ).
fof(f2286,plain,
! [X0,X1] : greatest_lower_bound(multiply(inverse(greatest_lower_bound(inverse(X0),X1)),identity),X0) = X0,
inference(forward_demodulation,[],[f2278,f306]) ).
fof(f2296,plain,
! [X0,X1] : greatest_lower_bound(X0,multiply(inverse(greatest_lower_bound(inverse(X0),X1)),identity)) = X0,
inference(forward_demodulation,[],[f2286,f5]) ).
fof(f2298,plain,
( ! [X0,X1] : greatest_lower_bound(X0,inverse(greatest_lower_bound(inverse(X0),X1))) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2296,f162]) ).
fof(f2868,plain,
! [X0,X1] : multiply(inverse(least_upper_bound(inverse(X0),X1)),least_upper_bound(identity,multiply(least_upper_bound(inverse(X0),X1),X0))) = X0,
inference(superposition,[],[f492,f143]) ).
fof(f2876,plain,
! [X0,X1] : least_upper_bound(multiply(inverse(least_upper_bound(inverse(X0),X1)),identity),X0) = X0,
inference(forward_demodulation,[],[f2868,f345]) ).
fof(f2886,plain,
! [X0,X1] : least_upper_bound(X0,multiply(inverse(least_upper_bound(inverse(X0),X1)),identity)) = X0,
inference(forward_demodulation,[],[f2876,f6]) ).
fof(f2888,plain,
( ! [X0,X1] : least_upper_bound(X0,inverse(least_upper_bound(inverse(X0),X1))) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2886,f162]) ).
fof(f4128,plain,
( ! [X0,X1] : inverse(greatest_lower_bound(inverse(X0),X1)) = least_upper_bound(inverse(greatest_lower_bound(inverse(X0),X1)),X0)
| ~ spl0_4 ),
inference(superposition,[],[f115,f2298]) ).
fof(f4160,plain,
( ! [X0,X1] : inverse(greatest_lower_bound(inverse(X0),X1)) = least_upper_bound(X0,inverse(greatest_lower_bound(inverse(X0),X1)))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f4128,f6]) ).
fof(f4330,plain,
( ! [X0,X1] : inverse(least_upper_bound(inverse(X0),X1)) = greatest_lower_bound(inverse(least_upper_bound(inverse(X0),X1)),X0)
| ~ spl0_4 ),
inference(superposition,[],[f101,f2888]) ).
fof(f4357,plain,
( ! [X0,X1] : inverse(least_upper_bound(inverse(X0),X1)) = greatest_lower_bound(X0,inverse(least_upper_bound(inverse(X0),X1)))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f4330,f5]) ).
fof(f11081,plain,
( ! [X0,X1] : inverse(greatest_lower_bound(X0,X1)) = least_upper_bound(inverse(X1),inverse(greatest_lower_bound(X0,X1)))
| ~ spl0_4 ),
inference(superposition,[],[f19,f2166]) ).
fof(f11275,plain,
( ! [X2,X0,X1] : greatest_lower_bound(X2,X0) = least_upper_bound(greatest_lower_bound(X2,X0),greatest_lower_bound(X2,inverse(least_upper_bound(inverse(X0),X1))))
| ~ spl0_4 ),
inference(superposition,[],[f408,f4357]) ).
fof(f11436,plain,
( ! [X0,X1] : inverse(least_upper_bound(X0,X1)) = greatest_lower_bound(inverse(X1),inverse(least_upper_bound(X0,X1)))
| ~ spl0_4 ),
inference(superposition,[],[f19,f1976]) ).
fof(f11438,plain,
( ! [X2,X0,X1] : multiply(least_upper_bound(X0,X1),inverse(X2)) = inverse(multiply(X2,greatest_lower_bound(inverse(X1),inverse(least_upper_bound(X0,X1)))))
| ~ spl0_4 ),
inference(superposition,[],[f20,f1976]) ).
fof(f11654,plain,
( ! [X2,X0,X1] : least_upper_bound(X2,X0) = greatest_lower_bound(least_upper_bound(X2,X0),least_upper_bound(X2,inverse(greatest_lower_bound(inverse(X0),X1))))
| ~ spl0_4 ),
inference(superposition,[],[f467,f4160]) ).
fof(f18246,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X2)),greatest_lower_bound(X0,X1)) = multiply(inverse(X2),greatest_lower_bound(identity,multiply(inverse(X0),X1))),
inference(superposition,[],[f60,f296]) ).
fof(f29997,plain,
( ! [X0,X1] : greatest_lower_bound(inverse(X1),X0) = least_upper_bound(greatest_lower_bound(inverse(X1),X0),inverse(least_upper_bound(inverse(X0),X1)))
| ~ spl0_4 ),
inference(superposition,[],[f11275,f11436]) ).
fof(f30283,plain,
( ! [X0,X1] : least_upper_bound(inverse(X1),X0) = greatest_lower_bound(least_upper_bound(inverse(X1),X0),inverse(greatest_lower_bound(inverse(X0),X1)))
| ~ spl0_4 ),
inference(superposition,[],[f11654,f11081]) ).
fof(f83890,plain,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(identity,multiply(inverse(X1),X2))) = multiply(inverse(multiply(X1,inverse(X0))),greatest_lower_bound(X1,X2)),
inference(superposition,[],[f18246,f19]) ).
fof(f83900,plain,
( ! [X2,X3,X0,X1] : multiply(least_upper_bound(X0,X1),greatest_lower_bound(identity,multiply(inverse(X2),X3))) = multiply(inverse(multiply(X2,greatest_lower_bound(inverse(X1),inverse(least_upper_bound(X0,X1))))),greatest_lower_bound(X2,X3))
| ~ spl0_4 ),
inference(superposition,[],[f18246,f1976]) ).
fof(f84438,plain,
( ! [X2,X3,X0,X1] : multiply(least_upper_bound(X0,X1),greatest_lower_bound(identity,multiply(inverse(X2),X3))) = multiply(multiply(least_upper_bound(X0,X1),inverse(X2)),greatest_lower_bound(X2,X3))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f83900,f11438]) ).
fof(f84444,plain,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(identity,multiply(inverse(X1),X2))) = multiply(multiply(X0,inverse(X1)),greatest_lower_bound(X1,X2)),
inference(forward_demodulation,[],[f83890,f58]) ).
fof(f84763,plain,
( ! [X2,X3,X0,X1] : multiply(least_upper_bound(X0,X1),multiply(inverse(X2),greatest_lower_bound(X2,X3))) = multiply(least_upper_bound(X0,X1),greatest_lower_bound(identity,multiply(inverse(X2),X3)))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f84438,f4]) ).
fof(f84768,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X1),greatest_lower_bound(X1,X2))) = multiply(X0,greatest_lower_bound(identity,multiply(inverse(X1),X2))),
inference(forward_demodulation,[],[f84444,f4]) ).
fof(f268323,plain,
( ! [X0,X1] : greatest_lower_bound(inverse(X0),X1) = inverse(greatest_lower_bound(least_upper_bound(inverse(X1),X0),inverse(greatest_lower_bound(inverse(X0),X1))))
| ~ spl0_4 ),
inference(superposition,[],[f1558,f29997]) ).
fof(f268520,plain,
( ! [X0,X1] : greatest_lower_bound(inverse(X0),X1) = inverse(least_upper_bound(inverse(X1),X0))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f268323,f30283]) ).
fof(f269218,plain,
( ! [X0,X1] : inverse(least_upper_bound(X0,X1)) = greatest_lower_bound(inverse(X1),inverse(X0))
| ~ spl0_4 ),
inference(superposition,[],[f268520,f19]) ).
fof(f270224,plain,
( ! [X0,X1] : multiply(inverse(inverse(least_upper_bound(X0,X1))),greatest_lower_bound(identity,multiply(inverse(X0),X1))) = X1
| ~ spl0_4 ),
inference(superposition,[],[f433,f269218]) ).
fof(f270545,plain,
( ! [X0,X1] : multiply(least_upper_bound(X0,X1),greatest_lower_bound(identity,multiply(inverse(X0),X1))) = X1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f270224,f19]) ).
fof(f272922,plain,
( b = multiply(least_upper_bound(c,a),greatest_lower_bound(identity,multiply(inverse(c),b)))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f270545,f51]) ).
fof(f273153,plain,
( ! [X0,X1] : multiply(least_upper_bound(X1,X0),multiply(inverse(X1),greatest_lower_bound(X1,X0))) = X0
| ~ spl0_4 ),
inference(superposition,[],[f84768,f270545]) ).
fof(f273541,plain,
( b = multiply(least_upper_bound(c,a),multiply(inverse(c),greatest_lower_bound(c,b)))
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f272922,f84763]) ).
fof(f273826,plain,
( b = multiply(least_upper_bound(c,a),multiply(inverse(c),greatest_lower_bound(c,a)))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f273541,f56]) ).
fof(f274043,plain,
( a = b
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f273826,f273153]) ).
fof(f274205,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f274043,f27]) ).
fof(f274206,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f274205]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f28]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f33]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f38]) ).
cnf(s4,plain,
spl0_4,
inference(sat_conversion,[],[f43]) ).
cnf(s5,plain,
( ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f52]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f57]) ).
cnf(s564,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f274206]) ).
cnf(s565,plain,
spl0_6,
inference(rat,[],[s6,s3]) ).
cnf(s737,plain,
spl0_5,
inference(rat,[],[s5,s2]) ).
cnf(s761,plain,
spl0_1,
inference(rat,[],[s564,s565,s4,s737]) ).
cnf(s994,plain,
$false,
inference(rat,[],[s1,s761]) ).
fof(f274514,plain,
$false,
inference(avatar_sat_refutation,[],[s994]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP181-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 09:34:10 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 86.91/13.08 % (1156760)Detected a unit-equality problem, will run specialized UEQ schedule.
% 86.91/13.08 % (1156771)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2353188713:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 86.91/13.08 % (1156766)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=543541323:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 86.91/13.08 % (1156765)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=3907773029:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 86.91/13.08 % (1156769)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3128679716:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 86.91/13.08 % (1156767)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4202306134:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 86.91/13.08 % (1156768)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=320868955:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 86.91/13.08 % (1156770)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1311207318:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 86.91/13.08 % (1156768)Instruction limit reached!
% 86.91/13.08 % (1156768)------------------------------
% 86.91/13.08 % (1156768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.91/13.08 % (1156768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.91/13.08 % (1156768)CaDiCaL version: 2.1.3
% 86.91/13.08 % (1156768)Termination reason: Instruction limit
% 86.91/13.08 % (1156768)Termination phase: Saturation
% 86.91/13.08 % (1156768)Time elapsed: 0.081 s
% 86.91/13.08 % (1156768)Peak memory usage: 88 MB
% 86.91/13.08 % (1156768)Instructions burned: 137 (million)
% 86.91/13.08 % (1156769)Instruction limit reached!
% 86.91/13.08 % (1156769)------------------------------
% 86.91/13.08 % (1156769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.91/13.08 % (1156769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.91/13.08 % (1156769)CaDiCaL version: 2.1.3
% 86.91/13.08 % (1156769)Termination reason: Instruction limit
% 86.91/13.08 % (1156769)Termination phase: Saturation
% 86.91/13.08 % (1156769)Time elapsed: 0.104 s
% 86.91/13.08 % (1156769)Peak memory usage: 89 MB
% 86.91/13.08 % (1156769)Instructions burned: 181 (million)
% 86.91/13.08 % (1156770)Instruction limit reached!
% 86.91/13.08 % (1156770)------------------------------
% 86.91/13.08 % (1156770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.91/13.08 % (1156770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.91/13.08 % (1156770)CaDiCaL version: 2.1.3
% 86.91/13.08 % (1156770)Termination reason: Instruction limit
% 86.91/13.08 % (1156770)Termination phase: Saturation
% 86.91/13.08 % (1156770)Time elapsed: 0.162 s
% 86.91/13.08 % (1156770)Peak memory usage: 90 MB
% 86.91/13.08 % (1156770)Instructions burned: 257 (million)
% 86.91/13.08 % (1156779)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2236896642:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 86.91/13.08 % (1156780)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=492545655:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 86.91/13.08 % (1156781)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2326073894:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 86.91/13.08 % (1156771)Instruction limit reached!
% 86.91/13.08 % (1156771)------------------------------
% 86.91/13.08 % (1156771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.91/13.08 % (1156771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.91/13.08 % (1156771)CaDiCaL version: 2.1.3
% 86.91/13.08 % (1156771)Termination reason: Instruction limit
% 86.91/13.08 % (1156771)Termination phase: Saturation
% 86.91/13.08 % (1156771)Time elapsed: 0.347 s
% 130.25/19.20 % (1156771)Peak memory usage: 99 MB
% 130.25/19.20 % (1156771)Instructions burned: 1189 (million)
% 130.25/19.20 % (1156785)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=1846468855:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 130.25/19.20 % (1156781)Instruction limit reached!
% 130.25/19.20 % (1156781)------------------------------
% 130.25/19.20 % (1156781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 130.25/19.20 % (1156781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 130.25/19.20 % (1156781)CaDiCaL version: 2.1.3
% 130.25/19.20 % (1156781)Termination reason: Instruction limit
% 130.25/19.20 % (1156781)Termination phase: Saturation
% 130.25/19.20 % (1156781)Time elapsed: 0.121 s
% 130.25/19.20 % (1156781)Peak memory usage: 92 MB
% 130.25/19.20 % (1156781)Instructions burned: 216 (million)
% 130.25/19.20 % (1156785)Instruction limit reached!
% 130.25/19.20 % (1156785)------------------------------
% 130.25/19.20 % (1156785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 130.25/19.20 % (1156785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 130.25/19.20 % (1156785)CaDiCaL version: 2.1.3
% 130.25/19.20 % (1156785)Termination reason: Instruction limit
% 130.25/19.20 % (1156785)Termination phase: Saturation
% 130.25/19.20 % (1156785)Time elapsed: 0.096 s
% 130.25/19.20 % (1156785)Peak memory usage: 91 MB
% 130.25/19.20 % (1156785)Instructions burned: 319 (million)
% 130.25/19.20 % (1156787)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=198760388:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/12125Mi)
% 130.25/19.20 % (1156788)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3419378926:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2993 on theBenchmark for (2993ds/2836Mi)
% 130.25/19.20 % (1156779)Instruction limit reached!
% 130.25/19.20 % (1156779)------------------------------
% 130.25/19.20 % (1156779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 130.25/19.20 % (1156779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 130.25/19.20 % (1156779)CaDiCaL version: 2.1.3
% 130.25/19.20 % (1156779)Termination reason: Instruction limit
% 130.25/19.20 % (1156779)Termination phase: Saturation
% 130.25/19.20 % (1156779)Time elapsed: 1.317 s
% 130.25/19.20 % (1156779)Peak memory usage: 142 MB
% 130.25/19.20 % (1156779)Instructions burned: 2051 (million)
% 130.25/19.20 % (1156788)Instruction limit reached!
% 130.25/19.20 % (1156788)------------------------------
% 130.25/19.20 % (1156788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 130.25/19.20 % (1156788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 130.25/19.20 % (1156788)CaDiCaL version: 2.1.3
% 130.25/19.20 % (1156788)Termination reason: Instruction limit
% 130.25/19.20 % (1156788)Termination phase: Saturation
% 130.25/19.20 % (1156788)Time elapsed: 1.011 s
% 130.25/19.20 % (1156788)Peak memory usage: 134 MB
% 130.25/19.20 % (1156788)Instructions burned: 2837 (million)
% 130.25/19.20 % (1156791)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2094704722:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 130.25/19.20 % (1156792)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=679350296:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2982 on theBenchmark for (2982ds/11832Mi)
% 130.25/19.20 % (1156780)Instruction limit reached!
% 130.25/19.20 % (1156780)------------------------------
% 130.25/19.20 % (1156780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 130.25/19.20 % (1156780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 130.25/19.20 % (1156780)CaDiCaL version: 2.1.3
% 130.25/19.20 % (1156780)Termination reason: Instruction limit
% 130.25/19.20 % (1156780)Termination phase: Saturation
% 130.25/19.20 % (1156780)Time elapsed: 2.941 s
% 130.25/19.20 % (1156780)Peak memory usage: 168 MB
% 130.25/19.20 % (1156780)Instructions burned: 4949 (million)
% 130.25/19.20 % (1156795)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=156047805:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 130.25/19.20 % (1156795)Instruction limit reached!
% 130.25/19.20 % (1156795)------------------------------
% 203.86/29.53 % (1156795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 203.86/29.53 % (1156795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 203.86/29.53 % (1156795)CaDiCaL version: 2.1.3
% 203.86/29.53 % (1156795)Termination reason: Instruction limit
% 203.86/29.53 % (1156795)Termination phase: Saturation
% 203.86/29.53 % (1156795)Time elapsed: 1.398 s
% 203.86/29.53 % (1156795)Peak memory usage: 141 MB
% 203.86/29.53 % (1156795)Instructions burned: 2279 (million)
% 203.86/29.53 % (1156797)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=1532282942:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2951 on theBenchmark for (2951ds/6225Mi)
% 203.86/29.53 % (1156792)Instruction limit reached!
% 203.86/29.53 % (1156792)------------------------------
% 203.86/29.53 % (1156792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 203.86/29.53 % (1156792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 203.86/29.53 % (1156792)CaDiCaL version: 2.1.3
% 203.86/29.53 % (1156792)Termination reason: Instruction limit
% 203.86/29.53 % (1156792)Termination phase: Saturation
% 203.86/29.53 % (1156792)Time elapsed: 4.067 s
% 203.86/29.53 % (1156792)Peak memory usage: 231 MB
% 203.86/29.53 % (1156792)Instructions burned: 11833 (million)
% 203.86/29.53 % (1156799)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=1902822611:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2940 on theBenchmark for (2940ds/21755Mi)
% 203.86/29.53 % (1156787)Instruction limit reached!
% 203.86/29.53 % (1156787)------------------------------
% 203.86/29.53 % (1156787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 203.86/29.53 % (1156787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 203.86/29.53 % (1156787)CaDiCaL version: 2.1.3
% 203.86/29.53 % (1156787)Termination reason: Instruction limit
% 203.86/29.53 % (1156787)Termination phase: Saturation
% 203.86/29.53 % (1156787)Time elapsed: 7.238 s
% 203.86/29.53 % (1156787)Peak memory usage: 237 MB
% 203.86/29.53 % (1156787)Instructions burned: 12125 (million)
% 203.86/29.53 % (1156801)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=734724084:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2920 on theBenchmark for (2920ds/16427Mi)
% 203.86/29.53 % (1156797)Instruction limit reached!
% 203.86/29.53 % (1156797)------------------------------
% 203.86/29.53 % (1156797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 203.86/29.53 % (1156797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 203.86/29.53 % (1156797)CaDiCaL version: 2.1.3
% 203.86/29.53 % (1156797)Termination reason: Instruction limit
% 203.86/29.53 % (1156797)Termination phase: Saturation
% 203.86/29.53 % (1156797)Time elapsed: 3.774 s
% 203.86/29.53 % (1156797)Peak memory usage: 171 MB
% 203.86/29.53 % (1156797)Instructions burned: 6225 (million)
% 203.86/29.53 % (1156803)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=789061012:i=9356:fgj=on:bd=preordered:av=off_2912 on theBenchmark for (2912ds/9356Mi)
% 203.86/29.53 % (1156791)Instruction limit reached!
% 203.86/29.53 % (1156791)------------------------------
% 203.86/29.53 % (1156791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 203.86/29.53 % (1156791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 203.86/29.53 % (1156791)CaDiCaL version: 2.1.3
% 203.86/29.53 % (1156791)Termination reason: Instruction limit
% 203.86/29.53 % (1156791)Termination phase: Saturation
% 203.86/29.53 % (1156791)Time elapsed: 9.025 s
% 203.86/29.53 % (1156791)Peak memory usage: 266 MB
% 203.86/29.53 % (1156791)Instructions burned: 14534 (million)
% 203.86/29.53 % (1156805)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=4239633054:i=2070:kws=inv_precedence:slsql=off:bd=all_2891 on theBenchmark for (2891ds/2070Mi)
% 203.86/29.53 % (1156805)Instruction limit reached!
% 203.86/29.53 % (1156805)------------------------------
% 203.86/29.53 % (1156805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 203.86/29.53 % (1156805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 203.86/29.53 % (1156805)CaDiCaL version: 2.1.3
% 203.86/29.53 % (1156805)Termination reason: Instruction limit
% 203.86/29.53 % (1156805)Termination phase: Saturation
% 233.22/36.13 % (1156805)Time elapsed: 1.262 s
% 233.22/36.13 % (1156805)Peak memory usage: 129 MB
% 233.22/36.13 % (1156805)Instructions burned: 2071 (million)
% 233.22/36.13 % (1156807)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=3145879391:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2877 on theBenchmark for (2877ds/6461Mi)
% 233.22/36.13 % (1156799)Instruction limit reached!
% 233.22/36.13 % (1156799)------------------------------
% 233.22/36.13 % (1156799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156799)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156799)Termination reason: Instruction limit
% 233.22/36.13 % (1156799)Termination phase: Saturation
% 233.22/36.13 % (1156799)Time elapsed: 8.497 s
% 233.22/36.13 % (1156799)Peak memory usage: 282 MB
% 233.22/36.13 % (1156799)Instructions burned: 21756 (million)
% 233.22/36.13 % (1156803)Instruction limit reached!
% 233.22/36.13 % (1156803)------------------------------
% 233.22/36.13 % (1156803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156803)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156803)Termination reason: Instruction limit
% 233.22/36.13 % (1156803)Termination phase: Saturation
% 233.22/36.13 % (1156803)Time elapsed: 5.655 s
% 233.22/36.13 % (1156803)Peak memory usage: 211 MB
% 233.22/36.13 % (1156803)Instructions burned: 9358 (million)
% 233.22/36.13 % (1156809)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=1269085025:i=2310:bd=all:ss=included_2855 on theBenchmark for (2855ds/2310Mi)
% 233.22/36.13 % (1156810)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=1136901627:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2854 on theBenchmark for (2854ds/2616Mi)
% 233.22/36.13 % (1156809)Instruction limit reached!
% 233.22/36.13 % (1156809)------------------------------
% 233.22/36.13 % (1156809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156809)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156809)Termination reason: Instruction limit
% 233.22/36.13 % (1156809)Termination phase: Saturation
% 233.22/36.13 % (1156809)Time elapsed: 0.737 s
% 233.22/36.13 % (1156809)Peak memory usage: 102 MB
% 233.22/36.13 % (1156809)Instructions burned: 2311 (million)
% 233.22/36.13 % (1156813)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=3162313354:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2846 on theBenchmark for (2846ds/30521Mi)
% 233.22/36.13 % (1156810)Instruction limit reached!
% 233.22/36.13 % (1156810)------------------------------
% 233.22/36.13 % (1156810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156810)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156810)Termination reason: Instruction limit
% 233.22/36.13 % (1156810)Termination phase: Saturation
% 233.22/36.13 % (1156810)Time elapsed: 1.515 s
% 233.22/36.13 % (1156810)Peak memory usage: 122 MB
% 233.22/36.13 % (1156810)Instructions burned: 2616 (million)
% 233.22/36.13 % (1156815)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=3241534898:i=3258:fgj=on:bd=all:ins=1_2837 on theBenchmark for (2837ds/3258Mi)
% 233.22/36.13 % (1156807)Instruction limit reached!
% 233.22/36.13 % (1156807)------------------------------
% 233.22/36.13 % (1156807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156807)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156807)Termination reason: Instruction limit
% 233.22/36.13 % (1156807)Termination phase: Saturation
% 233.22/36.13 % (1156807)Time elapsed: 4.015 s
% 233.22/36.13 % (1156807)Peak memory usage: 176 MB
% 233.22/36.13 % (1156807)Instructions burned: 6461 (million)
% 233.22/36.13 % (1156817)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=1074965204:i=5037:kws=precedence_2836 on theBenchmark for (2836ds/5037Mi)
% 233.22/36.13 % (1156815)Instruction limit reached!
% 233.22/36.13 % (1156815)------------------------------
% 233.22/36.13 % (1156815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156815)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156815)Termination reason: Instruction limit
% 233.22/36.13 % (1156815)Termination phase: Saturation
% 233.22/36.13 % (1156815)Time elapsed: 2.015 s
% 233.22/36.13 % (1156815)Peak memory usage: 153 MB
% 233.22/36.13 % (1156815)Instructions burned: 3259 (million)
% 233.22/36.13 % (1156801)Instruction limit reached!
% 233.22/36.13 % (1156801)------------------------------
% 233.22/36.13 % (1156801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156801)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156801)Termination reason: Instruction limit
% 233.22/36.13 % (1156801)Termination phase: Saturation
% 233.22/36.13 % (1156801)Time elapsed: 10.287 s
% 233.22/36.13 % (1156801)Peak memory usage: 264 MB
% 233.22/36.13 % (1156801)Instructions burned: 16427 (million)
% 233.22/36.13 % (1156819)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:acc=on:urr=on:bsr=unit_only:br=off:random_seed=1235965204:i=65240_2816 on theBenchmark for (2816ds/65240Mi)
% 233.22/36.13 % (1156820)lrs-1011_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:urr=ec_only:random_seed=206415490:i=16502:kws=inv_precedence:fgj=on:bd=preordered:ins=3:av=off_2816 on theBenchmark for (2816ds/16502Mi)
% 233.22/36.13 % (1156817)Instruction limit reached!
% 233.22/36.13 % (1156817)------------------------------
% 233.22/36.13 % (1156817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156817)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156817)Termination reason: Instruction limit
% 233.22/36.13 % (1156817)Termination phase: Saturation
% 233.22/36.13 % (1156817)Time elapsed: 3.028 s
% 233.22/36.13 % (1156817)Peak memory usage: 170 MB
% 233.22/36.13 % (1156817)Instructions burned: 5037 (million)
% 233.22/36.13 % (1156823)lrs-1011_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=32000:npcc=on:drc=off:sp=const_max:spb=goal_then_units:urr=ec_only:fd=preordered:random_seed=785999862:i=7623:bd=preordered:er=filter_2804 on theBenchmark for (2804ds/7623Mi)
% 233.22/36.13 % (1156823)Instruction limit reached!
% 233.22/36.13 % (1156823)------------------------------
% 233.22/36.13 % (1156823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156823)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156823)Termination reason: Instruction limit
% 233.22/36.13 % (1156823)Termination phase: Saturation
% 233.22/36.13 % (1156823)Time elapsed: 4.497 s
% 233.22/36.13 % (1156823)Peak memory usage: 190 MB
% 233.22/36.13 % (1156823)Instructions burned: 7624 (million)
% 233.22/36.13 % (1156825)dis+1010_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:tgt=full:npcc=on:sp=const_min:spb=non_intro:lcm=predicate:acc=on:urr=ec_only:rp=on:gs=on:random_seed=2610359965:i=8183:kws=frequency:add=off:gsp=on_2758 on theBenchmark for (2758ds/8183Mi)
% 233.22/36.13 % (1156813)Instruction limit reached!
% 233.22/36.13 % (1156813)------------------------------
% 233.22/36.13 % (1156813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156813)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156813)Termination reason: Instruction limit
% 233.22/36.13 % (1156813)Termination phase: Saturation
% 233.22/36.13 % (1156813)Time elapsed: 10.615 s
% 233.22/36.13 % (1156813)Peak memory usage: 364 MB
% 233.22/36.13 % (1156813)Instructions burned: 30523 (million)
% 233.22/36.13 % (1156827)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:bsr=unit_only:random_seed=2786851053:i=8387_2739 on theBenchmark for (2739ds/8387Mi)
% 233.22/36.13 % (1156820)Instruction limit reached!
% 233.22/36.13 % (1156820)------------------------------
% 233.22/36.13 % (1156820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156820)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156820)Termination reason: Instruction limit
% 233.22/36.13 % (1156820)Termination phase: Saturation
% 233.22/36.13 % (1156820)Time elapsed: 10.160 s
% 233.22/36.13 % (1156820)Peak memory usage: 285 MB
% 233.22/36.13 % (1156820)Instructions burned: 16503 (million)
% 233.22/36.13 % (1156981)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=1716537724:i=53964:kws=inv_arity_squared:fgj=on:bd=preordered_2712 on theBenchmark for (2712ds/53964Mi)
% 233.22/36.13 % (1156827)Instruction limit reached!
% 233.22/36.13 % (1156827)------------------------------
% 233.22/36.13 % (1156827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156827)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156827)Termination reason: Instruction limit
% 233.22/36.13 % (1156827)Termination phase: Saturation
% 233.22/36.13 % (1156827)Time elapsed: 2.754 s
% 233.22/36.13 % (1156827)Peak memory usage: 202 MB
% 233.22/36.13 % (1156827)Instructions burned: 8389 (million)
% 233.22/36.13 % (1156825)Instruction limit reached!
% 233.22/36.13 % (1156825)------------------------------
% 233.22/36.13 % (1156825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156825)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156825)Termination reason: Instruction limit
% 233.22/36.13 % (1156825)Termination phase: Saturation
% 233.22/36.13 % (1156825)Time elapsed: 4.590 s
% 233.22/36.13 % (1156825)Peak memory usage: 198 MB
% 233.22/36.13 % (1156825)Instructions burned: 8184 (million)
% 233.22/36.13 % (1156983)lrs-1011_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:tgt=full:npcc=on:sp=reverse_frequency:spb=goal:lsd=20:urr=on:flr=on:random_seed=1808633093:i=10575:s2at=5:gtg=position_2710 on theBenchmark for (2710ds/10575Mi)
% 233.22/36.13 % (1156984)ott-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=ground:npcc=on:lsd=50:urr=ec_only:random_seed=1641168528:i=12036:s2at=3:gtgl=2:kws=frequency:add=off:fgj=on:bd=preordered:ins=2:gtg=exists_sym_2710 on theBenchmark for (2710ds/12036Mi)
% 233.22/36.13 % (1156983)Instruction limit reached!
% 233.22/36.13 % (1156983)------------------------------
% 233.22/36.13 % (1156983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 233.22/36.13 % (1156983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 233.22/36.13 % (1156983)CaDiCaL version: 2.1.3
% 233.22/36.13 % (1156983)Termination reason: Instruction limit
% 233.22/36.13 % (1156983)Termination phase: Saturation
% 233.22/36.13 % (1156983)Time elapsed: 3.345 s
% 233.22/36.13 % (1156983)Peak memory usage: 217 MB
% 233.22/36.13 % (1156983)Instructions burned: 10576 (million)
% 233.22/36.13 % (1156988)lrs+1011_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=482797971:i=16065:fgj=on:bd=preordered:av=off_2676 on theBenchmark for (2676ds/16065Mi)
% 233.22/36.13 % (1156819)First to succeed.
% 233.22/36.13 % (1156819)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1156760"
% 233.22/36.13 % (1156819)Refutation found. Thanks to Tanya!
% 233.22/36.13 % SZS status Unsatisfiable for theBenchmark
% 233.22/36.13 % SZS output start Proof for theBenchmark
% See solution above
% 250.88/36.33 % (1156819)------------------------------
% 250.88/36.33 % (1156819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 250.88/36.33 % (1156819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 250.88/36.33 % (1156819)CaDiCaL version: 2.1.3
% 250.88/36.33 % (1156819)Termination reason: Refutation
% 250.88/36.33 % (1156819)Time elapsed: 16.418 s
% 250.88/36.33 % (1156819)Peak memory usage: 387 MB
% 250.88/36.33 % (1156819)Instructions burned: 25982 (million)
% 250.88/36.33 % (1156819)------------------------------
% 250.88/36.33 % (1156819)------------------------------
% 250.88/36.33 % (1156760)Success in time 35.281 s
% 250.88/36.33 % Vampire exiting
%------------------------------------------------------------------------------