%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP488-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 10:14:07 AM UTC 2026
% Result : Unsatisfiable 2.87s 1.24s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 132 ( 59 unt; 11 def)
% Number of atoms : 261 ( 96 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 250 ( 121 ~; 118 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0] : double_divide(X0,identity) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f6,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f7,plain,
a2 != multiply(identity,a2),
inference(reorient_equations,[],[f6]) ).
fof(f9,definition,
( spl0_1
<=> a2 = multiply(identity,a2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( a2 != multiply(identity,a2)
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f12,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f7,f9]) ).
fof(f13,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))),X1),identity)) = X2,
inference(backward_demodulation,[],[f1,f4]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f15,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))),X1))) = X2,
inference(forward_demodulation,[],[f13,f4]) ).
fof(f16,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))))) = X2,
inference(forward_demodulation,[],[f15,f14]) ).
fof(f17,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f14,f4]) ).
fof(f18,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[],[f14,f5]) ).
fof(f20,plain,
! [X0,X1] : multiply(identity,double_divide(X1,X0)) = inverse(multiply(X0,X1)),
inference(superposition,[],[f17,f14]) ).
fof(f21,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[],[f17,f17]) ).
fof(f30,plain,
! [X0] : inverse(identity) = multiply(multiply(identity,X0),inverse(X0)),
inference(superposition,[],[f18,f17]) ).
fof(f33,plain,
! [X0] : multiply(identity,identity) = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f17,f18]) ).
fof(f34,plain,
! [X0] : identity = double_divide(identity,multiply(inverse(X0),X0)),
inference(superposition,[],[f5,f18]) ).
fof(f38,plain,
! [X0,X1] : identity = double_divide(X1,multiply(X0,double_divide(identity,double_divide(inverse(X1),inverse(X0))))),
inference(superposition,[],[f16,f4]) ).
fof(f39,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity)))),
inference(superposition,[],[f16,f5]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : multiply(X3,double_divide(identity,double_divide(inverse(X2),double_divide(X3,X0)))) = double_divide(X1,multiply(X2,double_divide(identity,double_divide(inverse(X1),X0)))),
inference(superposition,[],[f16,f16]) ).
fof(f41,plain,
! [X2,X0,X1] : inverse(X0) = multiply(multiply(X1,double_divide(identity,double_divide(inverse(X2),double_divide(X1,X0)))),X2),
inference(superposition,[],[f14,f16]) ).
fof(f42,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0))))),
inference(forward_demodulation,[],[f39,f4]) ).
fof(f89,plain,
identity = inverse(inverse(double_divide(identity,inverse(inverse(identity))))),
inference(superposition,[],[f34,f42]) ).
fof(f90,plain,
identity = inverse(multiply(inverse(inverse(identity)),identity)),
inference(forward_demodulation,[],[f89,f14]) ).
fof(f95,definition,
( spl0_3
<=> identity = inverse(multiply(inverse(inverse(identity)),identity)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f97,plain,
( identity = inverse(multiply(inverse(inverse(identity)),identity))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
spl0_3,
inference(avatar_split_clause,[],[f90,f95]) ).
fof(f103,plain,
! [X0] : inverse(identity) = multiply(multiply(identity,inverse(X0)),multiply(identity,X0)),
inference(superposition,[],[f18,f21]) ).
fof(f114,plain,
( inverse(identity) = multiply(identity,multiply(inverse(inverse(identity)),identity))
| ~ spl0_3 ),
inference(superposition,[],[f18,f97]) ).
fof(f125,definition,
( spl0_5
<=> inverse(identity) = multiply(identity,multiply(inverse(inverse(identity)),identity)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f127,plain,
( inverse(identity) = multiply(identity,multiply(inverse(inverse(identity)),identity))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f114,f95,f125]) ).
fof(f215,plain,
! [X0] : identity = double_divide(X0,multiply(inverse(X0),double_divide(identity,identity))),
inference(superposition,[],[f38,f5]) ).
fof(f221,plain,
! [X0] : identity = double_divide(X0,multiply(inverse(X0),inverse(identity))),
inference(forward_demodulation,[],[f215,f4]) ).
fof(f234,plain,
! [X0] : multiply(identity,identity) = inverse(multiply(multiply(identity,inverse(X0)),multiply(identity,X0))),
inference(superposition,[],[f33,f21]) ).
fof(f246,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X0),X0),multiply(X1,double_divide(identity,double_divide(multiply(identity,identity),double_divide(X1,X2))))) = X2,
inference(superposition,[],[f16,f33]) ).
fof(f247,plain,
! [X0] : inverse(multiply(identity,identity)) = multiply(identity,multiply(inverse(X0),X0)),
inference(superposition,[],[f17,f33]) ).
fof(f250,plain,
! [X0] : inverse(identity) = multiply(multiply(identity,multiply(inverse(X0),X0)),multiply(identity,identity)),
inference(superposition,[],[f30,f33]) ).
fof(f253,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X1),multiply(X0,double_divide(identity,inverse(multiply(identity,identity))))),
inference(superposition,[],[f42,f33]) ).
fof(f254,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X1),multiply(X0,double_divide(identity,multiply(identity,inverse(identity))))),
inference(forward_demodulation,[],[f253,f21]) ).
fof(f258,plain,
! [X0] : multiply(identity,inverse(identity)) = multiply(identity,multiply(inverse(X0),X0)),
inference(forward_demodulation,[],[f247,f21]) ).
fof(f278,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity)))) = multiply(inverse(X1),inverse(identity)),
inference(superposition,[],[f16,f221]) ).
fof(f280,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0))))) = multiply(inverse(X1),inverse(identity)),
inference(forward_demodulation,[],[f278,f4]) ).
fof(f290,plain,
! [X1] : inverse(X1) = multiply(inverse(X1),inverse(identity)),
inference(forward_demodulation,[],[f280,f42]) ).
fof(f301,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),inverse(identity)),
inference(superposition,[],[f290,f14]) ).
fof(f303,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_3 ),
inference(superposition,[],[f290,f97]) ).
fof(f314,plain,
inverse(identity) = inverse(inverse(identity)),
inference(superposition,[],[f18,f290]) ).
fof(f317,definition,
( spl0_9
<=> inverse(identity) = inverse(inverse(identity)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f319,plain,
( inverse(identity) = inverse(inverse(identity))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f320,plain,
spl0_9,
inference(avatar_split_clause,[],[f314,f317]) ).
fof(f332,definition,
( spl0_11
<=> identity = multiply(identity,inverse(identity)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f334,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f335,plain,
( spl0_11
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f303,f95,f332]) ).
fof(f343,plain,
( inverse(identity) = multiply(identity,multiply(inverse(identity),identity))
| ~ spl0_5
| ~ spl0_9 ),
inference(backward_demodulation,[],[f127,f319]) ).
fof(f349,plain,
( ! [X0] : identity = multiply(identity,multiply(inverse(X0),X0))
| ~ spl0_11 ),
inference(backward_demodulation,[],[f258,f334]) ).
fof(f350,plain,
( ! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X1),multiply(X0,double_divide(identity,identity)))
| ~ spl0_11 ),
inference(backward_demodulation,[],[f254,f334]) ).
fof(f355,definition,
( spl0_12
<=> inverse(identity) = multiply(identity,multiply(inverse(identity),identity)) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f357,plain,
( inverse(identity) = multiply(identity,multiply(inverse(identity),identity))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f358,plain,
( spl0_12
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f343,f317,f125,f355]) ).
fof(f364,plain,
( ! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X1),multiply(X0,inverse(identity)))
| ~ spl0_11 ),
inference(forward_demodulation,[],[f350,f4]) ).
fof(f366,plain,
( inverse(identity) = multiply(identity,multiply(identity,identity))
| ~ spl0_11 ),
inference(backward_demodulation,[],[f250,f349]) ).
fof(f370,definition,
( spl0_14
<=> inverse(identity) = multiply(identity,multiply(identity,identity)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f372,plain,
( inverse(identity) = multiply(identity,multiply(identity,identity))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,plain,
( spl0_14
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f366,f332,f370]) ).
fof(f377,plain,
( identity = inverse(identity)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f357,f349]) ).
fof(f382,plain,
( ! [X0] : multiply(multiply(identity,inverse(X0)),multiply(identity,X0)) = multiply(identity,multiply(identity,identity))
| ~ spl0_14 ),
inference(backward_demodulation,[],[f103,f372]) ).
fof(f387,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),multiply(identity,multiply(identity,identity)))
| ~ spl0_14 ),
inference(backward_demodulation,[],[f301,f372]) ).
fof(f395,plain,
( ! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X1),multiply(X0,multiply(identity,multiply(identity,identity))))
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f364,f372]) ).
fof(f396,plain,
( identity = multiply(identity,multiply(identity,identity))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f377,f372]) ).
fof(f408,plain,
( multiply(identity,identity) = inverse(multiply(identity,multiply(identity,identity)))
| ~ spl0_14 ),
inference(backward_demodulation,[],[f234,f382]) ).
fof(f424,definition,
( spl0_17
<=> identity = multiply(identity,multiply(identity,identity)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f426,plain,
( identity = multiply(identity,multiply(identity,identity))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f427,plain,
( spl0_17
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f396,f370,f355,f332,f424]) ).
fof(f430,plain,
( multiply(identity,identity) = multiply(identity,inverse(multiply(identity,identity)))
| ~ spl0_14 ),
inference(forward_demodulation,[],[f408,f21]) ).
fof(f447,plain,
( multiply(identity,identity) = multiply(identity,multiply(identity,inverse(identity)))
| ~ spl0_14 ),
inference(forward_demodulation,[],[f430,f21]) ).
fof(f461,plain,
( multiply(identity,identity) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity))))
| ~ spl0_14 ),
inference(forward_demodulation,[],[f447,f372]) ).
fof(f466,definition,
( spl0_22
<=> multiply(identity,identity) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f468,plain,
( multiply(identity,identity) = multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity))))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f469,plain,
( spl0_22
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f461,f370,f466]) ).
fof(f478,plain,
( identity = inverse(identity)
| ~ spl0_14
| ~ spl0_17 ),
inference(backward_demodulation,[],[f372,f426]) ).
fof(f488,plain,
( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),identity)
| ~ spl0_14
| ~ spl0_17 ),
inference(backward_demodulation,[],[f387,f426]) ).
fof(f493,plain,
( ! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X1),multiply(X0,identity))
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17 ),
inference(backward_demodulation,[],[f395,f426]) ).
fof(f502,plain,
( multiply(identity,identity) = multiply(identity,multiply(identity,identity))
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f468,f426]) ).
fof(f505,definition,
( spl0_24
<=> identity = multiply(identity,identity) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f507,plain,
( identity = multiply(identity,identity)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f519,definition,
( spl0_25
<=> identity = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f521,plain,
( identity = inverse(identity)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f522,plain,
( spl0_25
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f478,f424,f370,f519]) ).
fof(f530,plain,
( identity = multiply(identity,identity)
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_demodulation,[],[f502,f426]) ).
fof(f537,plain,
( spl0_24
| ~ spl0_17
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f530,f466,f424,f505]) ).
fof(f549,plain,
( ! [X2,X0,X1] : double_divide(multiply(inverse(X0),X0),multiply(X1,double_divide(identity,double_divide(identity,double_divide(X1,X2))))) = X2
| ~ spl0_24 ),
inference(backward_demodulation,[],[f246,f507]) ).
fof(f570,plain,
( ! [X0,X1] : inverse(X0) = multiply(multiply(X1,double_divide(identity,double_divide(identity,double_divide(X1,X0)))),identity)
| ~ spl0_25 ),
inference(superposition,[],[f41,f521]) ).
fof(f588,plain,
( ! [X0,X1] : inverse(X0) = multiply(X1,double_divide(identity,double_divide(identity,double_divide(X1,X0))))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_demodulation,[],[f570,f488]) ).
fof(f592,plain,
( ! [X2,X0] : double_divide(multiply(inverse(X0),X0),inverse(X2)) = X2
| ~ spl0_14
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25 ),
inference(backward_demodulation,[],[f549,f588]) ).
fof(f614,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity))) = X1,
inference(superposition,[],[f16,f20]) ).
fof(f996,plain,
! [X2,X0,X1] : multiply(X2,double_divide(identity,double_divide(inverse(identity),double_divide(X2,X1)))) = double_divide(X0,inverse(multiply(double_divide(inverse(X0),X1),identity))),
inference(superposition,[],[f40,f20]) ).
fof(f1020,plain,
( ! [X2,X0,X1] : double_divide(X0,inverse(multiply(double_divide(inverse(X0),X1),identity))) = multiply(X2,double_divide(identity,double_divide(identity,double_divide(X2,X1))))
| ~ spl0_25 ),
inference(forward_demodulation,[],[f996,f521]) ).
fof(f1034,plain,
( ! [X0,X1] : inverse(X1) = double_divide(X0,inverse(multiply(double_divide(inverse(X0),X1),identity)))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1020,f588]) ).
fof(f1044,plain,
( ! [X1] : inverse(double_divide(identity,X1)) = X1
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25 ),
inference(backward_demodulation,[],[f614,f1034]) ).
fof(f1050,plain,
( ! [X1] : multiply(X1,identity) = X1
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1044,f14]) ).
fof(f1055,plain,
( ! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X1),X0)
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17
| ~ spl0_25 ),
inference(backward_demodulation,[],[f493,f1050]) ).
fof(f1072,plain,
( ! [X2] : inverse(inverse(X2)) = X2
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25 ),
inference(backward_demodulation,[],[f592,f1055]) ).
fof(f1136,plain,
( ! [X0] : multiply(identity,X0) = X0
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25 ),
inference(backward_demodulation,[],[f17,f1072]) ).
fof(f1224,plain,
( $false
| spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25 ),
inference(backward_subsumption_resolution,[],[f11,f1136]) ).
fof(f1235,plain,
( spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f12]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f98]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f128]) ).
cnf(s14,plain,
spl0_9,
inference(sat_conversion,[],[f320]) ).
cnf(s17,plain,
( ~ spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f335]) ).
cnf(s18,plain,
( ~ spl0_5
| ~ spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f358]) ).
cnf(s21,plain,
( ~ spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f373]) ).
cnf(s25,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f427]) ).
cnf(s30,plain,
( ~ spl0_14
| spl0_22 ),
inference(sat_conversion,[],[f469]) ).
cnf(s35,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_25 ),
inference(sat_conversion,[],[f522]) ).
cnf(s41,plain,
( ~ spl0_17
| ~ spl0_22
| spl0_24 ),
inference(sat_conversion,[],[f537]) ).
cnf(s44,plain,
( spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_17
| ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f1235]) ).
cnf(s46,plain,
spl0_11,
inference(rat,[],[s17,s3]) ).
cnf(s49,plain,
spl0_5,
inference(rat,[],[s7,s3]) ).
cnf(s51,plain,
spl0_14,
inference(rat,[],[s21,s46]) ).
cnf(s52,plain,
spl0_12,
inference(rat,[],[s18,s14,s49]) ).
cnf(s54,plain,
spl0_22,
inference(rat,[],[s30,s51]) ).
cnf(s61,plain,
spl0_17,
inference(rat,[],[s25,s51,s46,s52]) ).
cnf(s62,plain,
spl0_24,
inference(rat,[],[s41,s54,s61]) ).
cnf(s64,plain,
spl0_25,
inference(rat,[],[s35,s51,s61]) ).
cnf(s65,plain,
spl0_1,
inference(rat,[],[s44,s64,s62,s51,s46,s61]) ).
cnf(s67,plain,
$false,
inference(rat,[],[s1,s65]) ).
fof(f1772,plain,
$false,
inference(avatar_sat_refutation,[],[s67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP488-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:06:00 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 2.87/1.24 % (2172038)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.87/1.24 % (2172149)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3979919260:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.87/1.24 % (2172149)First to succeed.
% 2.87/1.24 % (2172149)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2172038"
% 2.87/1.24 % (2172148)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=410156582:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.87/1.24 % (2172150)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1768121412:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.87/1.24 % (2172145)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=1462041073:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.87/1.24 % (2172146)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2061792758:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.87/1.24 % (2172144)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=3120084476:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.87/1.24 % (2172147)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1038979292:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.87/1.24 % (2172150)Also succeeded, but the first one will report.
% 2.87/1.24 % (2172147)Also succeeded, but the first one will report.
% 2.87/1.24 % (2172148)Also succeeded, but the first one will report.
% 2.87/1.24 % (2172149)Refutation found. Thanks to Tanya!
% 2.87/1.24 % SZS status Unsatisfiable for theBenchmark
% 2.87/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.51 % (2172149)------------------------------
% 0.17/1.51 % (2172149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.51 % (2172149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.51 % (2172149)CaDiCaL version: 2.1.3
% 0.17/1.51 % (2172149)Termination reason: Refutation
% 0.17/1.51 % (2172149)Time elapsed: 0.028 s
% 0.17/1.51 % (2172149)Peak memory usage: 90 MB
% 0.17/1.51 % (2172149)Instructions burned: 81 (million)
% 0.17/1.51 % (2172149)------------------------------
% 0.17/1.51 % (2172149)------------------------------
% 0.17/1.51 % (2172038)Success in time 0.385 s
% 0.17/1.51 % Vampire exiting
%------------------------------------------------------------------------------