%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP344-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 10:17:33 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 35
% Syntax : Number of formulae : 238 ( 18 unt; 18 def)
% Number of atoms : 742 ( 200 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 984 ( 480 ~; 486 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',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/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f24]) ).
fof(f30,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f32]) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c7
| inverse(X1) != sk_c6
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| inverse(X2) != sk_c6
| inverse(X3) != sk_c5
| multiply(X3,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6)
| sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2)
| sk_c5 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6) ),
inference(reorient_equations,[],[f38]) ).
fof(f41,definition,
( spl0_1
<=> ! [X3] :
( sk_c5 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f42,plain,
( ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c5 != inverse(X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f45,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,definition,
( spl0_3
<=> ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f48,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c5)
| sk_c6 != inverse(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,definition,
( spl0_4
<=> ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f51,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c7 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,definition,
( spl0_5
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f54,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f39,f53,f50,f47,f44,f41]) ).
fof(f58,definition,
( spl0_6
<=> sk_c5 = multiply(sk_c4,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f60,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f62,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f64,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f67,definition,
( spl0_8
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f69,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f72,definition,
( spl0_9
<=> sk_c6 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f74,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f33,f62,f72]) ).
fof(f77,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f31,f62,f77]) ).
fof(f82,definition,
( spl0_11
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f84,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f87,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f25,f82,f72]) ).
fof(f88,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f23,f82,f77]) ).
fof(f90,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f91,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| spl0_12 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f92,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f21,f90,f58]) ).
fof(f94,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f19,f90,f67]) ).
fof(f95,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f17,f90,f72]) ).
fof(f96,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f15,f90,f77]) ).
fof(f98,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f100,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f13,f98,f58]) ).
fof(f102,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f11,f98,f67]) ).
fof(f103,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f9,f98,f72]) ).
fof(f104,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f7,f98,f77]) ).
fof(f105,plain,
spl0_5,
inference(avatar_split_clause,[],[f5,f53]) ).
fof(f107,plain,
( sk_c7 != sk_c7
| sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f45,f79]) ).
fof(f108,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f107]) ).
fof(f109,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f108,f74]) ).
fof(f110,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f109]) ).
fof(f113,definition,
( spl0_14
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f114,plain,
( sk_c7 = sk_c5
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f115,plain,
( sk_c7 != sk_c5
| spl0_14 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f117,definition,
( spl0_15
<=> sk_c6 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f118,plain,
( sk_c6 = sk_c5
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( sk_c6 != sk_c5
| spl0_15 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f121,plain,
( sk_c7 != sk_c7
| sk_c6 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f45,f92]) ).
fof(f122,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f121]) ).
fof(f123,plain,
( sk_c6 != sk_c7
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f122,f100]) ).
fof(f125,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f3,f69]) ).
fof(f126,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f3,f84]) ).
fof(f127,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f100]) ).
fof(f134,definition,
( spl0_17
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f135,plain,
( identity = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f136,plain,
( identity != sk_c7
| spl0_17 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f140,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f141,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_5 ),
inference(superposition,[],[f4,f54]) ).
fof(f147,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f140,f1]) ).
fof(f152,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f126]) ).
fof(f153,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f152,f1]) ).
fof(f154,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f127]) ).
fof(f155,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f170,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f153,f64]) ).
fof(f187,definition,
( spl0_18
<=> sk_c6 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f188,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f192,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f155,f92]) ).
fof(f206,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f141,f192]) ).
fof(f208,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f206,f170]) ).
fof(f258,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f147,f54]) ).
fof(f264,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f147,f208]) ).
fof(f284,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f264,f3]) ).
fof(f288,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f284,f136]) ).
fof(f289,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f291,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_17 ),
inference(superposition,[],[f1,f135]) ).
fof(f297,plain,
( sk_c6 = sk_c7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f291,f192]) ).
fof(f300,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f155,f291]) ).
fof(f301,plain,
( sk_c6 = sk_c7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f192,f291]) ).
fof(f302,plain,
( identity = sk_c1
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f127,f291]) ).
fof(f309,plain,
( sk_c7 = sk_c1
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f302,f135]) ).
fof(f313,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f297,f123]) ).
fof(f314,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f320,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f51,f92]) ).
fof(f321,plain,
( sk_c7 != sk_c5
| sk_c7 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f51,f60]) ).
fof(f322,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f320]) ).
fof(f323,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f322,f100]) ).
fof(f324,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f336,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f100,f309]) ).
fof(f344,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f336,f301]) ).
fof(f348,plain,
( spl0_18
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f344,f134,f98,f90,f187]) ).
fof(f356,plain,
( sk_c7 != sk_c5
| sk_c5 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f42,f92]) ).
fof(f357,plain,
( sk_c5 != sk_c5
| sk_c5 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f42,f60]) ).
fof(f358,plain,
( sk_c5 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f357]) ).
fof(f360,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f358,f69]) ).
fof(f361,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f428,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_18 ),
inference(superposition,[],[f3,f188]) ).
fof(f429,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f428,f170]) ).
fof(f433,plain,
( sk_c7 = sk_c5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f429,f135]) ).
fof(f440,plain,
( sk_c6 != sk_c5
| sk_c5 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f356,f301]) ).
fof(f444,plain,
( sk_c6 = sk_c5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f433,f301]) ).
fof(f449,plain,
( $false
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f444,f119]) ).
fof(f450,plain,
( ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f463,plain,
( sk_c5 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f440,f118]) ).
fof(f472,plain,
( sk_c7 != sk_c5
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f463,f100]) ).
fof(f481,plain,
( sk_c6 != sk_c7
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f472,f118]) ).
fof(f490,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f481,f301]) ).
fof(f491,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f508,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) )
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f48,f118]) ).
fof(f514,plain,
( sk_c6 != sk_c7
| sk_c6 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f508,f92]) ).
fof(f517,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f514,f301]) ).
fof(f522,plain,
( sk_c6 != sk_c7
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f517,f100]) ).
fof(f529,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f522,f301]) ).
fof(f530,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f543,definition,
( spl0_21
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f551,plain,
( sk_c6 != sk_c7
| spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f91,f300]) ).
fof(f555,plain,
( sk_c6 = sk_c7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f114,f118]) ).
fof(f564,plain,
( ~ spl0_21
| spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f551,f134,f98,f90,f543]) ).
fof(f566,plain,
( spl0_21
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f555,f117,f113,f543]) ).
fof(f586,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_9 ),
inference(superposition,[],[f3,f74]) ).
fof(f587,plain,
( sk_c7 = multiply(sk_c6,sk_c3)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f586,f135]) ).
fof(f588,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f147,f79]) ).
fof(f591,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f588,f74]) ).
fof(f606,plain,
( sk_c7 != sk_c5
| sk_c7 != sk_c5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f321,f69]) ).
fof(f607,plain,
( sk_c7 != sk_c5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f606]) ).
fof(f611,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f607,f114]) ).
fof(f612,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f660,plain,
( sk_c3 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f147,f587]) ).
fof(f671,plain,
( sk_c6 = sk_c5
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f591,f54]) ).
fof(f674,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f147,f591]) ).
fof(f676,plain,
( identity = sk_c7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f674,f3]) ).
fof(f679,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f671,f119]) ).
fof(f680,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f711,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f508,f60]) ).
fof(f715,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f711,f118]) ).
fof(f720,plain,
( sk_c6 != sk_c5
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f715,f69]) ).
fof(f725,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f720,f118]) ).
fof(f726,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f735,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f125,f118]) ).
fof(f738,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f258,f118]) ).
fof(f739,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f738,f3]) ).
fof(f740,plain,
( sk_c7 = multiply(sk_c6,sk_c4)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f735,f135]) ).
fof(f808,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f147,f740]) ).
fof(f811,plain,
( sk_c3 = sk_c4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f808,f660]) ).
fof(f813,plain,
( sk_c5 = multiply(sk_c3,sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f60,f811]) ).
fof(f824,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f813,f79]) ).
fof(f826,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f824,f115]) ).
fof(f827,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f834,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f676,f136]) ).
fof(f835,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f840,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f739,f136]) ).
fof(f841,plain,
( ~ spl0_5
| ~ spl0_15
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f840]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f56]) ).
cnf(s4,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f75]) ).
cnf(s5,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f80]) ).
cnf(s8,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f87]) ).
cnf(s9,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f88]) ).
cnf(s10,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f93]) ).
cnf(s11,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f94]) ).
cnf(s12,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f95]) ).
cnf(s13,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f96]) ).
cnf(s14,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f101]) ).
cnf(s15,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f102]) ).
cnf(s16,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f103]) ).
cnf(s17,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f104]) ).
cnf(s18,plain,
spl0_5,
inference(sat_conversion,[],[f105]) ).
cnf(s19,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f110]) ).
cnf(s24,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f289]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f314]) ).
cnf(s27,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f324]) ).
cnf(s30,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f348]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f361]) ).
cnf(s37,plain,
( ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f450]) ).
cnf(s42,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f491]) ).
cnf(s51,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f530]) ).
cnf(s57,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(sat_conversion,[],[f564]) ).
cnf(s58,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f566]) ).
cnf(s68,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(sat_conversion,[],[f612]) ).
cnf(s71,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f680]) ).
cnf(s73,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15 ),
inference(sat_conversion,[],[f726]) ).
cnf(s74,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f827]) ).
cnf(s75,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f835]) ).
cnf(s77,plain,
( ~ spl0_5
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f841]) ).
cnf(s78,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(rat,[],[s1,s18]) ).
cnf(s79,plain,
( spl0_6
| ~ spl0_4 ),
inference(rat,[],[s27,s10,s14]) ).
cnf(s80,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s68,s74,s71,s75,s15,s16,s17,s79,s18]) ).
cnf(s81,plain,
~ spl0_4,
inference(rat,[],[s68,s74,s71,s75,s11,s12,s13,s27,s80,s79,s18]) ).
cnf(s82,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s73,s71,s15,s16,s17,s18]) ).
cnf(s83,plain,
( spl0_10
| spl0_15
| ~ spl0_12
| ~ spl0_13 ),
inference(rat,[],[s37,s30,s24,s5,s9,s18]) ).
cnf(s84,plain,
( spl0_15
| ~ spl0_12
| ~ spl0_13 ),
inference(rat,[],[s37,s30,s24,s4,s8,s71,s83,s18]) ).
cnf(s85,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s51,s77,s84,s18]) ).
cnf(s86,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s73,s71,s11,s12,s13,s85,s82,s18]) ).
cnf(s87,plain,
~ spl0_3,
inference(rat,[],[s85,s10,s14,s86]) ).
cnf(s88,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s19,s12,s13]) ).
cnf(s89,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s77,s26,s84,s88,s18]) ).
cnf(s90,plain,
~ spl0_2,
inference(rat,[],[s19,s16,s17,s89]) ).
cnf(s91,plain,
spl0_1,
inference(rat,[],[s78,s81,s87,s90]) ).
cnf(s92,plain,
( spl0_15
| ~ spl0_13 ),
inference(rat,[],[s71,s12,s13,s84,s18]) ).
cnf(s93,plain,
( ~ spl0_15
| ~ spl0_17
| ~ spl0_13 ),
inference(rat,[],[s74,s58,s10,s11,s12,s13,s57,s42,s91]) ).
cnf(s94,plain,
~ spl0_13,
inference(rat,[],[s93,s77,s92,s18]) ).
cnf(s97,plain,
spl0_8,
inference(rat,[],[s15,s94]) ).
cnf(s98,plain,
spl0_6,
inference(rat,[],[s14,s94]) ).
cnf(s102,plain,
$false,
inference(rat,[],[s31,s91,s97,s98]) ).
fof(f846,plain,
$false,
inference(avatar_sat_refutation,[],[s102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP344-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n006.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 09:54:40 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.46 % (2745238)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (2745247)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2955679297:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (2745244)% WARNING: option uhcvi not known.
% 0.16/0.46 % (2745243)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3965890347_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (2745244)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1293585520:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (2745245)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4099140236:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (2745248)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3998430854:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (2745246)dis+10_1_sil=32000:sp=arity:random_seed=1289611321:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (2745249)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2086847729:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % (2745247) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2745238-2745247"...
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % (2745247)...printing done.
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % (2745247)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (2745247)------------------------------
% 0.16/0.47 % (2745247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (2745247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (2745247)CaDiCaL version: 2.1.3
% 0.16/0.47 % (2745247)Termination reason: Refutation
% 0.16/0.47 % (2745247)Time elapsed: 0.010 s
% 0.16/0.47 % (2745247)Peak memory usage: 12 MB
% 0.16/0.47 % (2745247)Instructions burned: 27 (million)
% 0.16/0.47 % (2745238)Success in time 0.043 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------