%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP231-1 : 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 : n019.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 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 43
% Syntax : Number of formulae : 266 ( 22 unt; 16 def)
% Number of atoms : 828 ( 261 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1062 ( 500 ~; 546 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 55 !; 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_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f55,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| multiply(X1,sk_c7) != sk_c8
| inverse(X2) != sk_c8
| multiply(X2,sk_c7) != 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/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| sk_c8 != multiply(X1,sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| 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_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| 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_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| 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 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,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(f77,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ 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_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f68,f79,f76,f73,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 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f90,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f88]) ).
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(f96,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f62,f88,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(f101,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f60,f88,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_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f115,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f113]) ).
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_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f124,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f44,f122,f84]) ).
fof(f126,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f122,f93]) ).
fof(f127,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f122,f98]) ).
fof(f129,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f122,f108]) ).
fof(f131,definition,
( spl0_13
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f133,plain,
( sk_c2 = 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(f138,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f131,f108]) ).
fof(f140,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f142,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ 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(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(f158,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl0_8 ),
inference(superposition,[],[f4,f100]) ).
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(f185,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f163,f3]) ).
fof(f186,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f163,f163]) ).
fof(f187,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c8),multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f163,f158]) ).
fof(f188,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f163,f154]) ).
fof(f190,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_5 ),
inference(superposition,[],[f163,f153]) ).
fof(f191,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f163,f105]) ).
fof(f193,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f163,f95]) ).
fof(f198,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f193,f86]) ).
fof(f200,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f191,f110]) ).
fof(f201,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f198,f100]) ).
fof(f217,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f105,f201]) ).
fof(f218,plain,
( sk_c4 = sk_c5
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f190,f188]) ).
fof(f221,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f95,f218]) ).
fof(f244,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f217,f221]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c8),multiply(sk_c8,X0))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f187,f201]) ).
fof(f286,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f285,f163]) ).
fof(f287,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f286,f244]) ).
fof(f291,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f287,f154]) ).
fof(f304,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f163,f287]) ).
fof(f343,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c4) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f185,f291]) ).
fof(f352,plain,
( ! [X0] : multiply(X0,sk_c4) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f186,f343]) ).
fof(f554,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f352,f154]) ).
fof(f555,plain,
( sk_c8 = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f352,f287]) ).
fof(f620,plain,
( inverse(sk_c8) = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f352,f304]) ).
fof(f621,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f620,f555]) ).
fof(f632,plain,
( sk_c8 != sk_c7
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f81,f621]) ).
fof(f641,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f632,f201]) ).
fof(f642,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f647,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c8)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f77,f201]) ).
fof(f649,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f647,f86]) ).
fof(f662,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f649,f287]) ).
fof(f668,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f662,f218]) ).
fof(f671,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f668,f217]) ).
fof(f672,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f673,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f71,f201]) ).
fof(f676,plain,
( sk_c8 != multiply(sk_c8,identity)
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f673,f3]) ).
fof(f701,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f676,f287]) ).
fof(f718,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f701,f554]) ).
fof(f725,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f718,f621]) ).
fof(f730,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f725,f621]) ).
fof(f731,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f732,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f74,f201]) ).
fof(f735,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f732,f3]) ).
fof(f759,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f735,f554]) ).
fof(f769,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f759,f621]) ).
fof(f772,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f769,f621]) ).
fof(f773,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f793,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f115]) ).
fof(f800,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f163,f90]) ).
fof(f802,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f800,f115]) ).
fof(f811,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_14 ),
inference(superposition,[],[f163,f142]) ).
fof(f812,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f142]) ).
fof(f813,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f811,f133]) ).
fof(f818,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| sk_c8 != multiply(sk_c1,sk_c2)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f77,f133]) ).
fof(f842,plain,
( sk_c8 != multiply(sk_c1,sk_c2)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f818,f124]) ).
fof(f859,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f842,f142]) ).
fof(f860,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f876,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f71,f167]) ).
fof(f877,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f876,f110]) ).
fof(f904,definition,
( spl0_27
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f905,plain,
( sk_c8 = sk_c7
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f906,plain,
( sk_c8 != sk_c7
| spl0_27 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f911,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f163,f793]) ).
fof(f914,plain,
( sk_c4 = sk_c3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f911,f188]) ).
fof(f935,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f90,f914]) ).
fof(f937,plain,
( ~ spl0_27
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f877,f108,f70,f904]) ).
fof(f1010,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f812,f813]) ).
fof(f1026,plain,
( sk_c7 = multiply(sk_c1,sk_c2)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1010,f200]) ).
fof(f1027,plain,
( sk_c8 = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1026,f142]) ).
fof(f1028,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1027,f906]) ).
fof(f1029,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f1028]) ).
fof(f1035,definition,
( spl0_32
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f1036,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1040,plain,
( spl0_9
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f935,f113,f108,f88,f103]) ).
fof(f1046,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1010,f142]) ).
fof(f1052,plain,
( spl0_32
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f802,f113,f88,f1035]) ).
fof(f1054,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_32 ),
inference(superposition,[],[f71,f1036]) ).
fof(f1060,plain,
( sk_c8 != sk_c7
| sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1054,f80]) ).
fof(f1111,plain,
( sk_c8 = sk_c7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_32 ),
inference(superposition,[],[f1036,f1046]) ).
fof(f1125,plain,
( spl0_27
| ~ spl0_13
| ~ spl0_14
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1111,f1035,f140,f131,f904]) ).
fof(f1152,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_27
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1060,f905]) ).
fof(f1155,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_27
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1152,f905]) ).
fof(f1165,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_27
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1155,f1046]) ).
fof(f1166,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_27
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1165]) ).
fof(f1167,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl0_2
| ~ spl0_27 ),
inference(forward_demodulation,[],[f74,f905]) ).
fof(f1168,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_27 ),
inference(superposition,[],[f1167,f80]) ).
fof(f1180,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1168,f905]) ).
fof(f1181,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1180,f1046]) ).
fof(f1182,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1181]) ).
cnf(s1,plain,
( spl0_2
| 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(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f96]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f101]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f106]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f111]) ).
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(s14,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f126]) ).
cnf(s15,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f127]) ).
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(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(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,[],[f642]) ).
cnf(s38,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f672]) ).
cnf(s50,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f731]) ).
cnf(s59,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f773]) ).
cnf(s65,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f860]) ).
cnf(s71,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_27 ),
inference(sat_conversion,[],[f937]) ).
cnf(s75,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| spl0_27 ),
inference(sat_conversion,[],[f1029]) ).
cnf(s77,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s80,plain,
( ~ spl0_6
| ~ spl0_11
| spl0_32 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s84,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_27
| ~ spl0_32 ),
inference(sat_conversion,[],[f1125]) ).
cnf(s91,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_27
| ~ spl0_32 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s93,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_27 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s94,plain,
spl0_4,
inference(rat,[],[s33,s28,s29,s30,s31,s32]) ).
cnf(s95,plain,
( spl0_6
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s38,s4,s5,s6,s7]) ).
cnf(s96,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s65,s17,s22,s27]) ).
cnf(s97,plain,
( spl0_9
| ~ spl0_6
| ~ spl0_10 ),
inference(rat,[],[s11,s77]) ).
cnf(s98,plain,
( spl0_8
| ~ spl0_3 ),
inference(rat,[],[s65,s15,s20,s25]) ).
cnf(s99,plain,
( spl0_7
| ~ spl0_3 ),
inference(rat,[],[s65,s14,s19,s24]) ).
cnf(s100,plain,
( ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s97,s38,s95,s96,s98,s99]) ).
cnf(s101,plain,
~ spl0_3,
inference(rat,[],[s65,s13,s18,s23,s100]) ).
cnf(s102,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s84,s80,s93,s7,s12,s22,s27,s94]) ).
cnf(s103,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s93,s75,s20,s25,s102,s94]) ).
cnf(s104,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(rat,[],[s93,s75,s19,s24,s59,s94]) ).
cnf(s105,plain,
( ~ spl0_9
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s104,s103,s102]) ).
cnf(s106,plain,
( spl0_9
| ~ spl0_10 ),
inference(rat,[],[s6,s97]) ).
cnf(s107,plain,
~ spl0_2,
inference(rat,[],[s93,s75,s18,s23,s105,s106,s102,s94]) ).
cnf(s108,plain,
spl0_1,
inference(rat,[],[s2,s94,s101,s107]) ).
cnf(s109,plain,
( ~ spl0_32
| ~ spl0_13
| ~ spl0_14 ),
inference(rat,[],[s91,s84,s94,s108]) ).
cnf(s110,plain,
spl0_10,
inference(rat,[],[s109,s80,s7,s12,s22,s27]) ).
cnf(s111,plain,
spl0_9,
inference(rat,[],[s106,s110]) ).
cnf(s112,plain,
~ spl0_27,
inference(rat,[],[s71,s108,s110]) ).
cnf(s113,plain,
spl0_7,
inference(rat,[],[s75,s19,s24,s110,s111,s112]) ).
cnf(s114,plain,
spl0_8,
inference(rat,[],[s75,s20,s25,s110,s111,s112]) ).
cnf(s115,plain,
~ spl0_5,
inference(rat,[],[s50,s110,s113,s111,s108,s114]) ).
cnf(s116,plain,
spl0_14,
inference(rat,[],[s23,s115]) ).
cnf(s117,plain,
spl0_13,
inference(rat,[],[s18,s115]) ).
cnf(s121,plain,
$false,
inference(rat,[],[s75,s112,s111,s110,s116,s117]) ).
fof(f1183,plain,
$false,
inference(avatar_sat_refutation,[],[s121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP231-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 % Computer : n019.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 09:38:19 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.43 Running first-order model finding
% 0.14/0.43 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
% 0.19/0.48 % (2838548)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (2838560)% WARNING: option uhcvi not known.
% 0.19/0.48 % (2838560)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3954335151:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.48 % (2838559)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2024946329_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.48 % (2838562)dis+10_1_sil=32000:sp=arity:random_seed=594165721:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.48 % (2838561)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=566430399:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.48 % (2838563)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=948005177:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.48 % (2838564)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3310878349:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.48 % TRYING [1]
% 0.19/0.48 % TRYING [2]
% 0.19/0.48 % TRYING [3]
% 0.19/0.48 % (2838565)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1118343274:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.48 % (2838560) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2838548-2838560"...
% 0.19/0.48 % TRYING [4]
% 0.19/0.48 % (2838560)...printing done.
% 0.19/0.48 % (2838560)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (2838560)------------------------------
% 0.19/0.49 % (2838560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (2838560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (2838560)CaDiCaL version: 2.1.3
% 0.19/0.49 % (2838560)Termination reason: Refutation
% 0.19/0.49 % (2838560)Time elapsed: 0.015 s
% 0.19/0.49 % (2838560)Peak memory usage: 13 MB
% 0.19/0.49 % (2838560)Instructions burned: 38 (million)
% 0.19/0.49 % (2838548)Success in time 0.042 s
% 0.19/0.49 % Vampire exiting
%------------------------------------------------------------------------------