%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP233-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 10:17:14 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 45
% Syntax : Number of formulae : 267 ( 22 unt; 17 def)
% Number of atoms : 783 ( 265 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 955 ( 439 ~; 499 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f43,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c8,X1) != sk_c7
| multiply(X2,sk_c8) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,X4) != sk_c7
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,X1)
| multiply(X2,sk_c8) != X1
| sk_c8 != inverse(X2)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4,X5] :
( inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f66]) ).
fof(f68,plain,
! [X2,X3,X0,X5] :
( inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f67]) ).
fof(f70,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f71,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f74,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_3
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f77,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl0_4
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( inverse(sk_c8) != sk_c7
| spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_1
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f68,f79,f76,f70,f73,f70]) ).
fof(f84,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f86,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f90,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f64,f88,f84]) ).
fof(f93,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f95,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f98,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f100,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f103,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f105,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f58,f88,f103]) ).
fof(f108,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f110,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f56,f88,f108]) ).
fof(f113,definition,
( spl0_11
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f115,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f54,f113,f84]) ).
fof(f119,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f48,f113,f103]) ).
fof(f120,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f46,f113,f108]) ).
fof(f122,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f124,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f44,f122,f84]) ).
fof(f128,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f122,f103]) ).
fof(f129,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f122,f108]) ).
fof(f131,definition,
( spl0_13
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f133,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f131,f84]) ).
fof(f135,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f32,f131,f93]) ).
fof(f136,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f131,f98]) ).
fof(f137,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f131,f103]) ).
fof(f138,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f131,f108]) ).
fof(f140,definition,
( spl0_14
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f142,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f24,f140,f84]) ).
fof(f144,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f140,f93]) ).
fof(f145,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f20,f140,f98]) ).
fof(f146,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f18,f140,f103]) ).
fof(f147,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f140,f108]) ).
fof(f148,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f14,f79,f84]) ).
fof(f149,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f79,f93]) ).
fof(f150,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f10,f79,f98]) ).
fof(f151,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f79,f103]) ).
fof(f152,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f79,f108]) ).
fof(f153,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f3,f86]) ).
fof(f154,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f110]) ).
fof(f157,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f159,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f153]) ).
fof(f162,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f159,f1]) ).
fof(f163,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f157,f1]) ).
fof(f166,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f154]) ).
fof(f167,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f166,f1]) ).
fof(f171,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f162,f95]) ).
fof(f178,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f100,f171]) ).
fof(f201,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f163,f3]) ).
fof(f202,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f163,f163]) ).
fof(f206,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f163,f171]) ).
fof(f208,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_5 ),
inference(superposition,[],[f163,f153]) ).
fof(f209,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f163,f105]) ).
fof(f218,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f209,f110]) ).
fof(f220,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f206,f3]) ).
fof(f222,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f201,f202]) ).
fof(f224,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f218,f178]) ).
fof(f227,plain,
( ! [X0] : multiply(X0,sk_c6) = X0
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f222,f220]) ).
fof(f230,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f163,f224]) ).
fof(f232,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f230,f3]) ).
fof(f235,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f220,f232]) ).
fof(f236,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f1,f232]) ).
fof(f245,plain,
( identity = inverse(sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f3,f227]) ).
fof(f250,plain,
( sk_c6 = multiply(sk_c8,sk_c5)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f162,f227]) ).
fof(f251,plain,
( sk_c6 = sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f250,f236]) ).
fof(f255,plain,
( identity = inverse(sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f245,f235]) ).
fof(f258,plain,
( sk_c8 = sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f251,f235]) ).
fof(f260,plain,
( inverse(sk_c8) = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f255,f220]) ).
fof(f262,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f260,f235]) ).
fof(f309,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f227,f235]) ).
fof(f341,plain,
( sk_c8 != sk_c7
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f81,f262]) ).
fof(f346,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f341,f178]) ).
fof(f347,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f352,plain,
( ! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f77,f309]) ).
fof(f354,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != X0 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f352,f178]) ).
fof(f355,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f354,f86]) ).
fof(f362,plain,
( sk_c8 != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f355]) ).
fof(f365,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f362,f258]) ).
fof(f366,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f367,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f71,f236]) ).
fof(f368,plain,
( ! [X5] :
( sk_c7 != X5
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f367,f309]) ).
fof(f369,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != X5 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f368,f178]) ).
fof(f379,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c5
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f369,f86]) ).
fof(f386,plain,
( sk_c8 != sk_c5
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f379]) ).
fof(f389,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f386,f258]) ).
fof(f390,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f417,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f208,f80]) ).
fof(f420,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_4 ),
inference(superposition,[],[f3,f80]) ).
fof(f422,plain,
( sk_c7 = sk_c5
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f417,f222]) ).
fof(f447,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f163,f115]) ).
fof(f449,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f447,f90]) ).
fof(f458,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_14 ),
inference(superposition,[],[f163,f142]) ).
fof(f460,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f458,f133]) ).
fof(f462,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl0_4 ),
inference(superposition,[],[f163,f420]) ).
fof(f465,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f462,f222]) ).
fof(f472,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f77,f142]) ).
fof(f474,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f472]) ).
fof(f476,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f474,f133]) ).
fof(f477,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f485,definition,
( spl0_16
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f486,plain,
( sk_c8 = sk_c7
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( sk_c8 != sk_c7
| spl0_16 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f499,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c7))
| ~ spl0_2 ),
inference(superposition,[],[f74,f3]) ).
fof(f500,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f74,f105]) ).
fof(f514,plain,
( sk_c7 != multiply(sk_c8,sk_c3)
| sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f71,f115]) ).
fof(f517,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f71,f167]) ).
fof(f518,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f517,f110]) ).
fof(f521,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f514,f124]) ).
fof(f526,plain,
( ~ spl0_16
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f518,f108,f70,f485]) ).
fof(f529,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f521,f90]) ).
fof(f530,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f538,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f500]) ).
fof(f541,definition,
( spl0_17
<=> sk_c8 = inverse(inverse(sk_c7)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f543,plain,
( sk_c8 != inverse(inverse(sk_c7))
| spl0_17 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f545,definition,
( spl0_18
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f546,plain,
( identity = sk_c8
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f547,plain,
( identity != sk_c8
| spl0_18 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f548,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f499,f73,f545,f541]) ).
fof(f549,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f538,f103,f73,f108]) ).
fof(f558,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f208,f546]) ).
fof(f560,plain,
( identity = sk_c5
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f558,f3]) ).
fof(f561,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f560,f422]) ).
fof(f562,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f561,f546]) ).
fof(f563,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f562,f487]) ).
fof(f564,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f575,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_4
| spl0_17 ),
inference(forward_demodulation,[],[f543,f465]) ).
fof(f578,plain,
( sk_c8 != sk_c7
| ~ spl0_4
| spl0_17 ),
inference(forward_demodulation,[],[f575,f80]) ).
fof(f651,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_4 ),
inference(superposition,[],[f3,f465]) ).
fof(f652,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f651,f460]) ).
fof(f686,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f449,f124]) ).
fof(f698,plain,
( $false
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f686,f487]) ).
fof(f699,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f718,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f652,f547]) ).
fof(f719,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f730,plain,
( $false
| ~ spl0_4
| ~ spl0_16
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f578,f486]) ).
fof(f731,plain,
( ~ spl0_4
| ~ spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f730]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f82]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f91]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f106]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f111]) ).
cnf(s8,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f116]) ).
cnf(s11,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s12,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f120]) ).
cnf(s13,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f125]) ).
cnf(s16,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s17,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f129]) ).
cnf(s18,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f134]) ).
cnf(s19,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s20,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s21,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s22,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s23,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s24,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f144]) ).
cnf(s25,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s26,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s27,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s28,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f148]) ).
cnf(s29,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s30,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f150]) ).
cnf(s31,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f151]) ).
cnf(s32,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f152]) ).
cnf(s33,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f347]) ).
cnf(s36,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f366]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f390]) ).
cnf(s43,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f477]) ).
cnf(s48,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_16 ),
inference(sat_conversion,[],[f526]) ).
cnf(s50,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f530]) ).
cnf(s55,plain,
( ~ spl0_2
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f548]) ).
cnf(s56,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f549]) ).
cnf(s59,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f564]) ).
cnf(s63,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f699]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f719]) ).
cnf(s68,plain,
( ~ spl0_4
| ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f731]) ).
cnf(s69,plain,
spl0_4,
inference(rat,[],[s33,s28,s29,s30,s31,s32]) ).
cnf(s71,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s43,s22,s27]) ).
cnf(s72,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s43,s21,s26]) ).
cnf(s73,plain,
( spl0_8
| ~ spl0_3 ),
inference(rat,[],[s43,s20,s25]) ).
cnf(s74,plain,
( spl0_7
| ~ spl0_3 ),
inference(rat,[],[s43,s19,s24]) ).
cnf(s75,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(rat,[],[s43,s18,s23,s36]) ).
cnf(s76,plain,
~ spl0_3,
inference(rat,[],[s75,s74,s73,s72,s71]) ).
cnf(s77,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s68,s55,s63,s67,s7,s12,s17,s22,s27,s69]) ).
cnf(s78,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s68,s55,s63,s67,s6,s11,s16,s21,s26,s56,s69]) ).
cnf(s79,plain,
~ spl0_2,
inference(rat,[],[s78,s77]) ).
cnf(s80,plain,
spl0_1,
inference(rat,[],[s2,s69,s76,s79]) ).
cnf(s81,plain,
spl0_10,
inference(rat,[],[s50,s7,s12,s17,s80]) ).
cnf(s82,plain,
~ spl0_16,
inference(rat,[],[s48,s80,s81]) ).
cnf(s83,plain,
spl0_5,
inference(rat,[],[s63,s3,s8,s13,s82]) ).
cnf(s84,plain,
~ spl0_18,
inference(rat,[],[s59,s82,s69,s83]) ).
cnf(s85,plain,
( spl0_14
| ~ spl0_9 ),
inference(rat,[],[s39,s24,s25,s80,s81,s83]) ).
cnf(s86,plain,
~ spl0_9,
inference(rat,[],[s39,s19,s20,s67,s85,s80,s81,s83,s84,s69]) ).
cnf(s87,plain,
spl0_14,
inference(rat,[],[s26,s86]) ).
cnf(s88,plain,
spl0_13,
inference(rat,[],[s21,s86]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s67,s69,s84,s88,s87]) ).
fof(f748,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP233-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:44:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.46 % (3306188)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (3306210)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1584330177:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (3306207)% WARNING: option uhcvi not known.
% 0.11/0.46 % (3306206)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1427497082_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (3306207)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2238041839:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (3306208)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2618431823:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (3306211)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4222537914:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (3306210) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3306188-3306210"...
% 0.11/0.46 % (3306210)...printing done.
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % (3306210)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (3306210)------------------------------
% 0.11/0.46 % (3306210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (3306210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (3306210)CaDiCaL version: 2.1.3
% 0.11/0.46 % (3306210)Termination reason: Refutation
% 0.11/0.46 % (3306210)Time elapsed: 0.009 s
% 0.11/0.46 % (3306210)Peak memory usage: 12 MB
% 0.11/0.46 % (3306210)Instructions burned: 22 (million)
% 0.11/0.46 % (3306188)Success in time 0.043 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------