%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP227-1 : 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 : n005.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 10:17:13 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 41
% Syntax : Number of formulae : 248 ( 16 unt; 18 def)
% Number of atoms : 739 ( 250 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 922 ( 431 ~; 473 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 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,
( inverse(sk_c1) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c1) = sk_c8
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f12]) ).
fof(f16,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f24]) ).
fof(f28,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f28]) ).
fof(f34,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f36]) ).
fof(f40,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f40]) ).
fof(f46,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f48]) ).
fof(f52,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c8 = inverse(sk_c2)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f52]) ).
fof(f58,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f60]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c8
| multiply(sk_c8,X1) != sk_c7
| multiply(X2,sk_c8) != X1
| inverse(X2) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X4,X5) != sk_c7
| inverse(X4) != X5
| multiply(X5,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != multiply(sk_c8,X1)
| multiply(X2,sk_c8) != X1
| sk_c8 != inverse(X2)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c7 != multiply(X5,sk_c8) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
! [X2,X3,X0,X4,X5] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c7 != multiply(X5,sk_c8) ),
inference(equality_resolution,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) ),
inference(equality_resolution,[],[f66]) ).
fof(f69,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_3
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( inverse(sk_c8) != sk_c7
| spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_4
<=> ! [X2] :
( sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X2] :
( sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_5
<=> ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f67,f82,f79,f75,f72,f69]) ).
fof(f90,definition,
( spl0_7
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f95,definition,
( spl0_8
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f97,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f61,f90,f95]) ).
fof(f100,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f102,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f59,f90,f100]) ).
fof(f105,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f107,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f110,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f112,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f114,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f53,f90,f75]) ).
fof(f116,definition,
( spl0_12
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f118,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f120,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f49,f116,f95]) ).
fof(f121,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f47,f116,f100]) ).
fof(f124,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f41,f116,f75]) ).
fof(f126,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f128,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f130,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f37,f126,f95]) ).
fof(f131,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f35,f126,f100]) ).
fof(f134,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f29,f126,f75]) ).
fof(f136,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f138,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f140,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f25,f136,f95]) ).
fof(f141,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f23,f136,f100]) ).
fof(f142,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f21,f136,f105]) ).
fof(f143,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f19,f136,f110]) ).
fof(f144,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f17,f136,f75]) ).
fof(f146,definition,
( spl0_15
<=> inverse(sk_c1) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f148,plain,
( inverse(sk_c1) = sk_c8
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f150,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f13,f146,f95]) ).
fof(f151,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f11,f146,f100]) ).
fof(f152,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f9,f146,f105]) ).
fof(f153,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f7,f146,f110]) ).
fof(f154,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f5,f146,f75]) ).
fof(f166,definition,
( spl0_16
<=> sk_c8 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f170,definition,
( spl0_17
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f171,plain,
( sk_c8 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f172,plain,
( sk_c8 != sk_c7
| spl0_17 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f174,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f148]) ).
fof(f175,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f3,f76]) ).
fof(f177,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f3,f92]) ).
fof(f181,definition,
( spl0_18
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f182,plain,
( identity = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f183,plain,
( identity != sk_c7
| spl0_18 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f185,definition,
( spl0_19
<=> sk_c8 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f186,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f187,plain,
( sk_c8 != inverse(sk_c7)
| spl0_19 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f191,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f199,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f191,f1]) ).
fof(f202,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f174]) ).
fof(f203,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f202,f1]) ).
fof(f204,plain,
( identity != sk_c7
| sk_c8 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f73,f175]) ).
fof(f205,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f175]) ).
fof(f206,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f205,f1]) ).
fof(f211,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f203,f138]) ).
fof(f227,plain,
( sk_c3 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f206,f128]) ).
fof(f343,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f199,f102]) ).
fof(f349,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f199,f118]) ).
fof(f355,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f349,f92]) ).
fof(f358,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f343,f97]) ).
fof(f374,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f199,f358]) ).
fof(f376,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f374,f3]) ).
fof(f381,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f204,f75,f72,f181,f185]) ).
fof(f390,plain,
( spl0_18
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f376,f100,f95,f181]) ).
fof(f396,plain,
( identity != sk_c8
| spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f172,f182]) ).
fof(f397,plain,
( identity = multiply(identity,sk_c8)
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f175,f182]) ).
fof(f410,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f397,f1]) ).
fof(f411,plain,
( sk_c8 != inverse(identity)
| ~ spl0_18
| spl0_19 ),
inference(forward_demodulation,[],[f187,f182]) ).
fof(f412,plain,
( $false
| ~ spl0_3
| spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f410,f396]) ).
fof(f413,plain,
( ~ spl0_3
| spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f456,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f128,f355]) ).
fof(f460,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f199,f355]) ).
fof(f462,plain,
( identity = sk_c3
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f460,f3]) ).
fof(f480,plain,
( identity = sk_c8
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f171,f182]) ).
fof(f495,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f177,f480]) ).
fof(f511,plain,
( identity = sk_c2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f495,f1]) ).
fof(f527,plain,
( spl0_17
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f456,f126,f116,f90,f170]) ).
fof(f528,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f138,f171]) ).
fof(f531,plain,
( identity != sk_c8
| ~ spl0_17
| spl0_18 ),
inference(forward_demodulation,[],[f183,f171]) ).
fof(f552,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f70,f171]) ).
fof(f553,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f76,f171]) ).
fof(f555,plain,
( sk_c3 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f227,f171]) ).
fof(f564,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f112,f171]) ).
fof(f566,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f552,f171]) ).
fof(f567,plain,
( sk_c7 = sk_c3
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f555,f211]) ).
fof(f569,plain,
( sk_c8 = sk_c3
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f567,f171]) ).
fof(f596,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f553,f480]) ).
fof(f604,plain,
( identity != sk_c8
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18
| spl0_19 ),
inference(forward_demodulation,[],[f411,f596]) ).
fof(f605,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f604,f480]) ).
fof(f606,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f607,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f186,f171]) ).
fof(f610,plain,
( sk_c8 = inverse(identity)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f92,f511]) ).
fof(f644,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f566,f480]) ).
fof(f645,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f644,f480]) ).
fof(f658,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f645,f3]) ).
fof(f659,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f658]) ).
fof(f661,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f659,f1]) ).
fof(f668,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f661,f596]) ).
fof(f669,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f705,plain,
( ! [X2] :
( sk_c7 != multiply(identity,multiply(X2,identity))
| sk_c8 != inverse(X2) )
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f80,f480]) ).
fof(f706,plain,
( ! [X2] :
( sk_c7 != multiply(X2,identity)
| sk_c8 != inverse(X2) )
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f705,f1]) ).
fof(f707,plain,
( ! [X2] :
( sk_c8 != multiply(X2,identity)
| sk_c8 != inverse(X2) )
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f706,f171]) ).
fof(f708,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| sk_c8 != inverse(X2) )
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f707,f480]) ).
fof(f709,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| identity != inverse(X2) )
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f708,f480]) ).
fof(f714,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f709,f1]) ).
fof(f722,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f714]) ).
fof(f726,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f722,f596]) ).
fof(f727,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f734,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f83,f171]) ).
fof(f742,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f118]) ).
fof(f754,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f569,f462]) ).
fof(f755,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f754,f531]) ).
fof(f756,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f757,plain,
( sk_c8 != inverse(sk_c8)
| spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f77,f171]) ).
fof(f767,plain,
( sk_c8 != sk_c8
| inverse(sk_c1) != sk_c8
| ~ spl0_5
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f734,f528]) ).
fof(f769,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f734,f564]) ).
fof(f773,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f769]) ).
fof(f774,plain,
( inverse(sk_c1) != sk_c8
| ~ spl0_5
| ~ spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f767]) ).
fof(f777,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f773,f107]) ).
fof(f778,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f777]) ).
fof(f779,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f774,f148]) ).
fof(f780,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f784,plain,
( $false
| spl0_3
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f607,f757]) ).
fof(f785,plain,
( spl0_3
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f791,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f742,f462]) ).
fof(f792,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f791,f1]) ).
fof(f796,plain,
( sk_c1 = multiply(sk_c2,identity)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f792,f174]) ).
fof(f800,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f792,f177]) ).
fof(f884,plain,
( sk_c1 = sk_c2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f800,f796]) ).
fof(f887,plain,
( sk_c3 = multiply(sk_c1,sk_c8)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f118,f884]) ).
fof(f890,plain,
( sk_c8 = sk_c3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f887,f528]) ).
fof(f891,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f890,f462]) ).
fof(f892,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f891,f531]) ).
fof(f893,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f892]) ).
fof(f913,plain,
( ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f411,f185,f181,f166]) ).
fof(f914,plain,
( spl0_16
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f610,f181,f170,f90,f166]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f84]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f98]) ).
cnf(s4,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f103]) ).
cnf(s7,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f114]) ).
cnf(s9,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s10,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s13,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s15,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f130]) ).
cnf(s16,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f131]) ).
cnf(s19,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f134]) ).
cnf(s21,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s22,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s23,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s24,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s25,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f144]) ).
cnf(s27,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f150]) ).
cnf(s28,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f151]) ).
cnf(s29,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f152]) ).
cnf(s30,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f153]) ).
cnf(s31,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f154]) ).
cnf(s38,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f381]) ).
cnf(s40,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f390]) ).
cnf(s45,plain,
( ~ spl0_3
| spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f413]) ).
cnf(s52,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f527]) ).
cnf(s57,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f606]) ).
cnf(s59,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f669]) ).
cnf(s67,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f727]) ).
cnf(s71,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f756]) ).
cnf(s72,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f778]) ).
cnf(s73,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f780]) ).
cnf(s75,plain,
( spl0_3
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f785]) ).
cnf(s78,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f893]) ).
cnf(s83,plain,
( ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f913]) ).
cnf(s84,plain,
( ~ spl0_7
| spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f914]) ).
cnf(s88,plain,
spl0_3,
inference(rat,[],[s83,s84,s78,s75,s52,s7,s13,s19,s25,s31]) ).
cnf(s90,plain,
( spl0_15
| ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s72,s29,s30]) ).
cnf(s91,plain,
( ~ spl0_15
| ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s72,s23,s24,s73]) ).
cnf(s92,plain,
( ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s91,s90]) ).
cnf(s93,plain,
( spl0_13
| spl0_18 ),
inference(rat,[],[s40,s15,s16]) ).
cnf(s94,plain,
( spl0_12
| spl0_18 ),
inference(rat,[],[s40,s9,s10]) ).
cnf(s95,plain,
spl0_17,
inference(rat,[],[s40,s3,s4,s52,s94,s93,s45,s88]) ).
cnf(s96,plain,
~ spl0_5,
inference(rat,[],[s92,s95]) ).
cnf(s97,plain,
( spl0_15
| spl0_18 ),
inference(rat,[],[s40,s27,s28]) ).
cnf(s98,plain,
( spl0_14
| spl0_18 ),
inference(rat,[],[s40,s21,s22]) ).
cnf(s99,plain,
( ~ spl0_14
| ~ spl0_12
| ~ spl0_15
| spl0_18
| ~ spl0_13 ),
inference(rat,[],[s40,s3,s4,s71,s95,s88]) ).
cnf(s100,plain,
spl0_18,
inference(rat,[],[s99,s98,s97,s94,s93]) ).
cnf(s101,plain,
~ spl0_4,
inference(rat,[],[s67,s95,s88,s100]) ).
cnf(s102,plain,
spl0_19,
inference(rat,[],[s57,s88,s95,s100]) ).
cnf(s104,plain,
~ spl0_2,
inference(rat,[],[s38,s100,s88,s102]) ).
cnf(s105,plain,
~ spl0_1,
inference(rat,[],[s59,s100,s88,s95]) ).
cnf(s106,plain,
$false,
inference(rat,[],[s1,s88,s96,s105,s104,s101]) ).
fof(f916,plain,
$false,
inference(avatar_sat_refutation,[],[s106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP227-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n005.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 09:38:17 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.19/0.47 % (3743656)Will run a generic schedule for satisfiability detection.
% 0.19/0.47 % (3743661)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1089342298_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.47 % TRYING [1]
% 0.19/0.47 % TRYING [2]
% 0.19/0.47 % TRYING [3]
% 0.19/0.47 % (3743662)% WARNING: option uhcvi not known.
% 0.19/0.47 % TRYING [4]
% 0.19/0.47 % (3743662)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=505557820:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.47 % (3743663)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=737636710:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.47 % (3743664)dis+10_1_sil=32000:sp=arity:random_seed=4265402361:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.47 % (3743666)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3617758302:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.47 % (3743665)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3227323765:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.47 % (3743667)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2714264107:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.47 % TRYING [5]
% 0.19/0.47 % TRYING [6]
% 0.19/0.47 % (3743664) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3743656-3743664"...
% 0.19/0.47 % (3743664)...printing done.
% 0.19/0.47 % (3743665) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3743656-3743665"...
% 0.19/0.47 % (3743664)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (3743664)------------------------------
% 0.19/0.47 % (3743664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.47 % (3743664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.47 % (3743664)CaDiCaL version: 2.1.3
% 0.19/0.47 % (3743664)Termination reason: Refutation
% 0.19/0.47 % (3743664)Time elapsed: 0.020 s
% 0.19/0.47 % (3743664)Peak memory usage: 12 MB
% 0.19/0.47 % (3743664)Instructions burned: 31 (million)
% 0.19/0.47 % (3743656)Success in time 0.055 s
% 0.19/0.47 % Vampire exiting
%------------------------------------------------------------------------------