%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP306-1 : 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 : n004.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 10:17:26 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 40
% Syntax : Number of formulae : 253 ( 26 unt; 15 def)
% Number of atoms : 786 ( 252 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1012 ( 479 ~; 518 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 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_c8,sk_c7) = sk_c6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c6 = inverse(sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c2 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c6
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| multiply(sk_c8,X3) != sk_c7
| multiply(X4,sk_c8) != X3
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != inverse(sk_c8)
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| sk_c8 != multiply(X1,sk_c7)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,X3)
| multiply(X4,sk_c8) != X3
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,plain,
! [X2,X3,X0,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != inverse(sk_c8)
| sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,X3)
| multiply(X4,sk_c8) != X3
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f47]) ).
fof(f49,plain,
! [X2,X0,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != inverse(sk_c8)
| sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f48]) ).
fof(f51,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f52,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f55,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,definition,
( spl0_3
<=> ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f58,plain,
( ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_4
<=> sk_c6 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f61,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( sk_c6 != inverse(sk_c8)
| spl0_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f64,definition,
( spl0_5
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f65,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f49,f64,f60,f57,f54,f51]) ).
fof(f69,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f71,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f73,definition,
( spl0_7
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f75,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f45,f73,f69]) ).
fof(f78,definition,
( spl0_8
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f80,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f43,f73,f78]) ).
fof(f83,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f85,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f41,f73,f83]) ).
fof(f88,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f90,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f39,f73,f88]) ).
fof(f93,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f37,f73,f93]) ).
fof(f98,definition,
( spl0_12
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f100,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f35,f98,f69]) ).
fof(f102,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f33,f98,f78]) ).
fof(f103,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f31,f98,f83]) ).
fof(f104,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f29,f98,f88]) ).
fof(f105,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f27,f98,f93]) ).
fof(f107,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f109,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f25,f107,f69]) ).
fof(f111,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f107,f78]) ).
fof(f112,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f107,f83]) ).
fof(f113,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f19,f107,f88]) ).
fof(f114,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f17,f107,f93]) ).
fof(f115,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f60,f69]) ).
fof(f116,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f60,f78]) ).
fof(f117,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f60,f83]) ).
fof(f118,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f9,f60,f88]) ).
fof(f119,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f60,f93]) ).
fof(f120,plain,
spl0_5,
inference(avatar_split_clause,[],[f5,f64]) ).
fof(f121,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_6 ),
inference(superposition,[],[f3,f71]) ).
fof(f122,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f3,f90]) ).
fof(f125,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f95]) ).
fof(f130,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f125,f1]) ).
fof(f133,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f121]) ).
fof(f134,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f133,f1]) ).
fof(f137,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f134,f80]) ).
fof(f144,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f85,f137]) ).
fof(f150,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f65,f144]) ).
fof(f203,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f130,f3]) ).
fof(f204,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f130,f130]) ).
fof(f209,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f130,f122]) ).
fof(f210,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f130,f137]) ).
fof(f215,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f130,f95]) ).
fof(f224,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f215,f144]) ).
fof(f228,plain,
( identity = sk_c5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f210,f3]) ).
fof(f232,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f203,f204]) ).
fof(f233,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f224,f90]) ).
fof(f239,plain,
( ! [X0] : multiply(X0,sk_c5) = X0
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f232,f228]) ).
fof(f243,plain,
( multiply(sk_c3,sk_c8) = multiply(sk_c7,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f128,f233]) ).
fof(f244,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f130,f233]) ).
fof(f246,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f244,f3]) ).
fof(f247,plain,
( multiply(sk_c3,sk_c8) = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f243,f144]) ).
fof(f249,plain,
( sk_c6 = multiply(sk_c3,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f247,f150]) ).
fof(f250,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f249,f95]) ).
fof(f251,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f250,f144]) ).
fof(f253,plain,
( sk_c8 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f228,f246]) ).
fof(f255,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1,f246]) ).
fof(f276,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f239,f253]) ).
fof(f285,plain,
( identity = inverse(sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f3,f239]) ).
fof(f291,plain,
( sk_c5 = multiply(sk_c8,sk_c4)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f134,f239]) ).
fof(f292,plain,
( sk_c5 = sk_c4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f291,f255]) ).
fof(f297,plain,
( identity = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f285,f253]) ).
fof(f300,plain,
( sk_c8 = sk_c4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f292,f253]) ).
fof(f301,plain,
( inverse(sk_c8) = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f297,f228]) ).
fof(f303,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f301,f253]) ).
fof(f361,plain,
( sk_c8 != sk_c6
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f62,f303]) ).
fof(f366,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f361,f251]) ).
fof(f367,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f373,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c8)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f58,f144]) ).
fof(f375,plain,
( ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f373,f276]) ).
fof(f379,plain,
( sk_c8 != inverse(identity)
| sk_c8 != inverse(identity)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f375,f1]) ).
fof(f383,plain,
( sk_c8 != inverse(identity)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f379]) ).
fof(f388,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f383,f228]) ).
fof(f397,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f388,f253]) ).
fof(f398,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f397,f303]) ).
fof(f399,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f400,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f52,f255]) ).
fof(f401,plain,
( ! [X4] :
( sk_c7 != X4
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f400,f276]) ).
fof(f402,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f401,f144]) ).
fof(f419,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f402,f71]) ).
fof(f426,plain,
( sk_c8 != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f419]) ).
fof(f429,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f426,f300]) ).
fof(f430,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f454,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f215,f90]) ).
fof(f458,plain,
( sk_c3 = multiply(sk_c6,identity)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f209,f61]) ).
fof(f460,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl0_4 ),
inference(superposition,[],[f3,f61]) ).
fof(f461,plain,
( sk_c6 = sk_c3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f458,f232]) ).
fof(f462,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f90,f461]) ).
fof(f468,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f100]) ).
fof(f482,plain,
( sk_c8 != multiply(sk_c1,sk_c2)
| sk_c8 != multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f58,f100]) ).
fof(f485,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f58,f462]) ).
fof(f492,plain,
( sk_c8 != multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f485,f454]) ).
fof(f494,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f482,f109]) ).
fof(f499,definition,
( spl0_14
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f500,plain,
( identity = sk_c8
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f510,plain,
( identity != sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f492,f460]) ).
fof(f516,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f494,f75]) ).
fof(f517,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f521,plain,
( ~ spl0_14
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f510,f93,f88,f60,f57,f499]) ).
fof(f522,plain,
( sk_c8 = multiply(inverse(sk_c6),identity)
| ~ spl0_4 ),
inference(superposition,[],[f130,f460]) ).
fof(f525,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f522,f232]) ).
fof(f528,plain,
( identity != sk_c7
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2 ),
inference(superposition,[],[f55,f3]) ).
fof(f530,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f55,f95]) ).
fof(f532,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f530]) ).
fof(f533,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f532,f90]) ).
fof(f534,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f542,definition,
( spl0_18
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f543,plain,
( sk_c8 = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f544,plain,
( sk_c8 != sk_c7
| spl0_18 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f548,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl0_12 ),
inference(superposition,[],[f130,f468]) ).
fof(f551,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f548,f232]) ).
fof(f558,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_12 ),
inference(superposition,[],[f3,f551]) ).
fof(f559,plain,
( identity = sk_c8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f558,f109]) ).
fof(f560,plain,
( spl0_14
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f559,f107,f98,f499]) ).
fof(f563,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_14 ),
inference(superposition,[],[f1,f500]) ).
fof(f644,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f65,f563]) ).
fof(f691,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f52,f563]) ).
fof(f744,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[],[f528,f543]) ).
fof(f761,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f744,f500]) ).
fof(f783,plain,
( sk_c8 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f761,f61]) ).
fof(f800,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f783,f525]) ).
fof(f801,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f807,plain,
( spl0_2
| ~ spl0_1
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f691,f499,f51,f54]) ).
fof(f830,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f3,f525]) ).
fof(f831,plain,
( identity = sk_c6
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f830,f563]) ).
fof(f834,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f831,f644]) ).
fof(f835,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f834,f500]) ).
fof(f836,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f835,f544]) ).
fof(f837,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f836]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f67]) ).
cnf(s2,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f76]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f81]) ).
cnf(s4,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f86]) ).
cnf(s5,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f91]) ).
cnf(s6,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f96]) ).
cnf(s7,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f101]) ).
cnf(s8,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f102]) ).
cnf(s9,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f103]) ).
cnf(s10,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f104]) ).
cnf(s11,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f105]) ).
cnf(s12,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f110]) ).
cnf(s13,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f111]) ).
cnf(s14,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f112]) ).
cnf(s15,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f113]) ).
cnf(s16,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f114]) ).
cnf(s17,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f115]) ).
cnf(s18,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f116]) ).
cnf(s19,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f117]) ).
cnf(s20,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f118]) ).
cnf(s21,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s22,plain,
spl0_5,
inference(sat_conversion,[],[f120]) ).
cnf(s23,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f367]) ).
cnf(s28,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f399]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f430]) ).
cnf(s38,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f517]) ).
cnf(s40,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(sat_conversion,[],[f521]) ).
cnf(s42,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f534]) ).
cnf(s44,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f560]) ).
cnf(s72,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f801]) ).
cnf(s75,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_14 ),
inference(sat_conversion,[],[f807]) ).
cnf(s78,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f837]) ).
cnf(s79,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1,s22]) ).
cnf(s80,plain,
spl0_4,
inference(rat,[],[s23,s17,s18,s19,s20,s21,s22]) ).
cnf(s81,plain,
( spl0_7
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s28,s3,s4,s5,s6]) ).
cnf(s82,plain,
( spl0_11
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s38,s11,s16]) ).
cnf(s83,plain,
( spl0_10
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s38,s10,s15]) ).
cnf(s84,plain,
( spl0_9
| spl0_14 ),
inference(rat,[],[s44,s9,s14]) ).
cnf(s85,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s38,s8,s13,s28,s84,s40,s83,s82,s81,s80]) ).
cnf(s86,plain,
~ spl0_3,
inference(rat,[],[s38,s2,s7,s12,s85]) ).
cnf(s87,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s72,s78,s80,s22]) ).
cnf(s88,plain,
( spl0_11
| spl0_14 ),
inference(rat,[],[s44,s11,s16]) ).
cnf(s89,plain,
~ spl0_2,
inference(rat,[],[s44,s10,s15,s42,s88,s87]) ).
cnf(s90,plain,
spl0_1,
inference(rat,[],[s79,s80,s86,s89]) ).
cnf(s91,plain,
~ spl0_14,
inference(rat,[],[s75,s89,s90]) ).
cnf(s92,plain,
spl0_9,
inference(rat,[],[s84,s91]) ).
cnf(s93,plain,
spl0_11,
inference(rat,[],[s88,s91]) ).
cnf(s94,plain,
spl0_13,
inference(rat,[],[s31,s12,s13,s15,s90,s93,s92]) ).
cnf(s95,plain,
~ spl0_12,
inference(rat,[],[s44,s91,s94]) ).
cnf(s96,plain,
spl0_10,
inference(rat,[],[s10,s95]) ).
cnf(s97,plain,
spl0_8,
inference(rat,[],[s8,s95]) ).
cnf(s98,plain,
spl0_6,
inference(rat,[],[s7,s95]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s31,s92,s97,s93,s90,s98,s96]) ).
fof(f838,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP306-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n004.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 09:49:06 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.23/0.47 % (3258063)Will run a generic schedule for satisfiability detection.
% 0.23/0.47 % (3258068)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3794165102_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.47 % TRYING [1]
% 0.23/0.47 % TRYING [2]
% 0.23/0.47 % TRYING [3]
% 0.23/0.47 % (3258069)% WARNING: option uhcvi not known.
% 0.23/0.47 % TRYING [4]
% 0.23/0.47 % (3258071)dis+10_1_sil=32000:sp=arity:random_seed=334868079:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.47 % (3258069)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=22040011:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.47 % (3258070)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3941645456:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.47 % (3258073)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=892986214:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.47 % (3258072)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4288287622:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.47 % (3258074)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3642026330:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.47 % TRYING [5]
% 0.23/0.47 % TRYING [6]
% 0.23/0.47 % (3258072) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3258063-3258072"...
% 0.23/0.47 % (3258071) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3258063-3258071"...
% 0.23/0.47 % (3258072)...printing done.
% 0.23/0.47 % (3258071)...printing done.
% 0.23/0.47 % (3258072)Refutation found. Thanks to Tanya!
% 0.23/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.47 % (3258072)------------------------------
% 0.23/0.47 % (3258072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.47 % (3258072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.47 % (3258072)CaDiCaL version: 2.1.3
% 0.23/0.47 % (3258072)Termination reason: Refutation
% 0.23/0.47 % (3258072)Time elapsed: 0.017 s
% 0.23/0.47 % (3258072)Peak memory usage: 12 MB
% 0.23/0.47 % (3258072)Instructions burned: 25 (million)
% 0.23/0.47 % (3258063)Success in time 0.05 s
% 0.23/0.47 % Vampire exiting
%------------------------------------------------------------------------------