%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP230-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 10:13:23 AM UTC 2026
% Result : Unsatisfiable 2.78s 1.28s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 46
% Syntax : Number of formulae : 256 ( 19 unt; 18 def)
% Number of atoms : 764 ( 252 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 962 ( 454 ~; 490 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c1) = sk_c8
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( inverse(sk_c1) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,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_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,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_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c2)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c7
| multiply(X2,X3) != sk_c8
| inverse(X2) != X3
| 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_25) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X2,X3)
| inverse(X2) != 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,[],[f53]) ).
fof(f55,plain,
! [X2,X0,X1,X4,X5] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X2,inverse(X2))
| sk_c8 != multiply(inverse(X2),sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f54]) ).
fof(f56,plain,
! [X2,X0,X1,X5] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X2,inverse(X2))
| sk_c8 != multiply(inverse(X2),sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f55]) ).
fof(f58,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(f59,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl0_2
<=> ! [X2] :
( sk_c8 != multiply(X2,inverse(X2))
| sk_c8 != multiply(inverse(X2),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f62,plain,
( ! [X2] :
( sk_c8 != multiply(inverse(X2),sk_c7)
| sk_c8 != multiply(X2,inverse(X2)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl0_3
<=> ! [X1] :
( sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f65,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,definition,
( spl0_4
<=> ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f69,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f56,f67,f64,f61,f58]) ).
fof(f71,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f73,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f75,definition,
( spl0_6
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f77,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f52,f75,f71]) ).
fof(f80,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f82,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f50,f75,f80]) ).
fof(f85,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f48,f75,f85]) ).
fof(f90,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f46,f75,f90]) ).
fof(f95,definition,
( spl0_10
<=> sk_c4 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f97,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f44,f75,f95]) ).
fof(f100,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c3,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f102,plain,
( sk_c8 = multiply(sk_c3,sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f42,f75,f100]) ).
fof(f105,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f107,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f105,f71]) ).
fof(f109,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f105,f80]) ).
fof(f110,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f105,f85]) ).
fof(f111,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f105,f90]) ).
fof(f112,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f105,f95]) ).
fof(f113,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f105,f100]) ).
fof(f115,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f117,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f115,f71]) ).
fof(f119,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f115,f80]) ).
fof(f120,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f115,f85]) ).
fof(f121,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f115,f90]) ).
fof(f122,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f115,f95]) ).
fof(f123,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f115,f100]) ).
fof(f125,definition,
( spl0_14
<=> inverse(sk_c1) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f127,plain,
( inverse(sk_c1) = sk_c8
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f125,f71]) ).
fof(f129,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f14,f125,f80]) ).
fof(f130,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f12,f125,f85]) ).
fof(f131,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f10,f125,f90]) ).
fof(f132,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f8,f125,f95]) ).
fof(f133,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f6,f125,f100]) ).
fof(f135,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| sk_c8 != multiply(sk_c3,sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f62,f97]) ).
fof(f136,plain,
( sk_c8 != multiply(sk_c3,sk_c4)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f135,f92]) ).
fof(f145,definition,
( spl0_16
<=> sk_c8 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f146,plain,
( sk_c8 = sk_c6
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,plain,
( ~ spl0_11
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f136,f95,f90,f61,f100]) ).
fof(f150,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| sk_c8 != multiply(sk_c2,sk_c7)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f62,f77]) ).
fof(f152,definition,
( spl0_17
<=> sk_c8 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f154,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| spl0_17 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( ~ spl0_12
| ~ spl0_17
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f150,f75,f61,f152,f105]) ).
fof(f158,definition,
( spl0_18
<=> sk_c8 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f162,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f127]) ).
fof(f164,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f3,f73]) ).
fof(f172,definition,
( spl0_20
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f173,plain,
( identity = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f178,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f179,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f117]) ).
fof(f184,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f178,f1]) ).
fof(f187,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f162]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f191,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f164]) ).
fof(f192,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f191,f1]) ).
fof(f199,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f188,f117]) ).
fof(f222,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f192,f82]) ).
fof(f231,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f222,f87]) ).
fof(f251,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f184,f222]) ).
fof(f261,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f184,f107]) ).
fof(f266,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f261,f77]) ).
fof(f269,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f251,f3]) ).
fof(f292,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f179,f266]) ).
fof(f293,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f184,f266]) ).
fof(f295,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f293,f3]) ).
fof(f296,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f292,f199]) ).
fof(f299,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f295,f105,f75,f172]) ).
fof(f300,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f296,f117]) ).
fof(f307,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f117,f300]) ).
fof(f309,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_17 ),
inference(superposition,[],[f154,f300]) ).
fof(f317,plain,
( sk_c8 != sk_c7
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_17 ),
inference(forward_demodulation,[],[f309,f199]) ).
fof(f319,plain,
( spl0_18
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f307,f125,f115,f105,f75,f158]) ).
fof(f320,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f317,f300]) ).
fof(f321,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f325,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f269,f173]) ).
fof(f330,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f325,f172,f80,f71,f145]) ).
fof(f337,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_11 ),
inference(superposition,[],[f184,f102]) ).
fof(f339,plain,
( sk_c4 = multiply(sk_c4,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f337,f97]) ).
fof(f351,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f59,f231]) ).
fof(f354,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f351,f73]) ).
fof(f356,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f354]) ).
fof(f359,plain,
( sk_c8 != multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f356,f82]) ).
fof(f371,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f359,f87]) ).
fof(f372,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f371,f231]) ).
fof(f373,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f374,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f68,f231]) ).
fof(f384,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f374,f73]) ).
fof(f386,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f384]) ).
fof(f389,plain,
( sk_c8 != sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f386,f82]) ).
fof(f397,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f65,f231]) ).
fof(f398,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c8) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f397,f231]) ).
fof(f407,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f398,f73]) ).
fof(f409,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f407]) ).
fof(f412,plain,
( sk_c8 != sk_c6
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f409,f82]) ).
fof(f414,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f412,f146]) ).
fof(f415,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f421,plain,
( ~ spl0_16
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f389,f85,f80,f71,f67,f145]) ).
fof(f437,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f184,f339]) ).
fof(f439,plain,
( identity = sk_c8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f437,f3]) ).
fof(f442,plain,
( spl0_20
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f439,f100,f95,f172]) ).
fof(f454,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f65,f300]) ).
fof(f455,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c8) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f454,f300]) ).
fof(f456,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f455,f127]) ).
fof(f459,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f456]) ).
fof(f461,plain,
( ~ spl0_18
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f459,f125,f115,f105,f75,f64,f158]) ).
fof(f462,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f68,f300]) ).
fof(f464,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f462,f127]) ).
fof(f467,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f464]) ).
fof(f469,plain,
( ~ spl0_18
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f467,f125,f115,f105,f75,f67,f158]) ).
fof(f470,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f59,f300]) ).
fof(f472,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f470,f127]) ).
fof(f475,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f472]) ).
fof(f478,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f475,f188]) ).
fof(f479,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f478]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f69]) ).
cnf(s2,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f78]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f83]) ).
cnf(s4,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f88]) ).
cnf(s5,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f93]) ).
cnf(s6,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f98]) ).
cnf(s7,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f103]) ).
cnf(s8,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s10,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s11,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s12,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f112]) ).
cnf(s13,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f113]) ).
cnf(s14,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s16,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s17,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s18,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s19,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s20,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f128]) ).
cnf(s21,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s22,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f130]) ).
cnf(s23,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s24,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f132]) ).
cnf(s25,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s28,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f149]) ).
cnf(s29,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f155]) ).
cnf(s35,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f299]) ).
cnf(s36,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f319]) ).
cnf(s37,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f321]) ).
cnf(s40,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f330]) ).
cnf(s44,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f373]) ).
cnf(s48,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f415]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f421]) ).
cnf(s56,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f442]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f461]) ).
cnf(s59,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f469]) ).
cnf(s61,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f479]) ).
cnf(s62,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s59,s36,s2,s8,s14,s20]) ).
cnf(s63,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s36,s59]) ).
cnf(s64,plain,
( spl0_14
| ~ spl0_20
| ~ spl0_4 ),
inference(rat,[],[s50,s40,s21,s22,s62]) ).
cnf(s65,plain,
( ~ spl0_12
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s50,s40,s15,s16,s63,s64,s35,s62]) ).
cnf(s66,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s50,s40,s56,s9,s10,s12,s13,s62]) ).
cnf(s67,plain,
~ spl0_4,
inference(rat,[],[s50,s40,s56,s3,s4,s6,s7,s65,s66,s62]) ).
cnf(s68,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s58,s36]) ).
cnf(s69,plain,
( spl0_14
| ~ spl0_5
| ~ spl0_20
| ~ spl0_3 ),
inference(rat,[],[s48,s40,s21,s22]) ).
cnf(s70,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s48,s40,s15,s16,s68,s69,s35]) ).
cnf(s71,plain,
( ~ spl0_12
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s68,s14,s20,s70]) ).
cnf(s72,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s48,s40,s56,s8,s9,s10,s12,s13]) ).
cnf(s73,plain,
( ~ spl0_12
| ~ spl0_3 ),
inference(rat,[],[s48,s40,s56,s2,s3,s4,s6,s7,s71]) ).
cnf(s74,plain,
~ spl0_3,
inference(rat,[],[s73,s72]) ).
cnf(s75,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s28,s23,s24,s25]) ).
cnf(s76,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s28,s17,s18,s19]) ).
cnf(s77,plain,
( ~ spl0_12
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s37,s29,s75,s76]) ).
cnf(s78,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s28,s11,s12,s13]) ).
cnf(s79,plain,
( ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s28,s5,s6,s7,s77]) ).
cnf(s80,plain,
~ spl0_2,
inference(rat,[],[s79,s78]) ).
cnf(s81,plain,
spl0_1,
inference(rat,[],[s1,s67,s74,s80]) ).
cnf(s82,plain,
spl0_14,
inference(rat,[],[s44,s20,s21,s22,s81]) ).
cnf(s83,plain,
spl0_13,
inference(rat,[],[s44,s14,s15,s16,s81]) ).
cnf(s84,plain,
spl0_12,
inference(rat,[],[s44,s8,s9,s10,s81]) ).
cnf(s85,plain,
~ spl0_6,
inference(rat,[],[s61,s83,s81,s82,s84]) ).
cnf(s89,plain,
spl0_8,
inference(rat,[],[s4,s85]) ).
cnf(s90,plain,
spl0_7,
inference(rat,[],[s3,s85]) ).
cnf(s91,plain,
spl0_5,
inference(rat,[],[s2,s85]) ).
cnf(s97,plain,
$false,
inference(rat,[],[s44,s89,s81,s90,s91]) ).
fof(f480,plain,
$false,
inference(avatar_sat_refutation,[],[s97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP230-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:36:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.78/1.28 % (1161505)Input is clausal, will run a generic CNF schedule.
% 2.78/1.28 % (1161544)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=462781991:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.78/1.28 % (1161543)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2696760231:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.78/1.28 % (1161548)dis-21_1_sil=8000:lcm=predicate:random_seed=3210898323:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.78/1.28 % (1161542)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3576604588:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.78/1.28 % (1161545)lrs+10_1_sil=8000:sp=occurrence:random_seed=2171593670:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.78/1.28 % (1161547)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=792066164:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.78/1.28 % (1161546)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3562451318:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.78/1.28 % (1161548)Refutation not found, incomplete strategy
% 2.78/1.28 % (1161548)------------------------------
% 2.78/1.28 % (1161548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.28 % (1161548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.28 % (1161548)CaDiCaL version: 2.1.3
% 2.78/1.28 % (1161548)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.28 % (1161548)Time elapsed: 0.002 s
% 2.78/1.28 % (1161548)Peak memory usage: 88 MB
% 2.78/1.28 % (1161548)Instructions burned: 1 (million)
% 2.78/1.28 % (1161545)Refutation not found, incomplete strategy
% 2.78/1.28 % (1161545)------------------------------
% 2.78/1.28 % (1161545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.28 % (1161545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.28 % (1161545)CaDiCaL version: 2.1.3
% 2.78/1.28 % (1161545)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.28 % (1161545)Time elapsed: 0.003 s
% 2.78/1.28 % (1161545)Peak memory usage: 88 MB
% 2.78/1.28 % (1161545)Instructions burned: 4 (million)
% 2.78/1.28 % (1161547)First to succeed.
% 2.78/1.28 % (1161547)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1161505"
% 2.78/1.28 % (1161546)Instruction limit reached!
% 2.78/1.28 % (1161546)------------------------------
% 2.78/1.28 % (1161546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.28 % (1161546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.28 % (1161546)CaDiCaL version: 2.1.3
% 2.78/1.28 % (1161546)Termination reason: Instruction limit
% 2.78/1.28 % (1161546)Termination phase: Saturation
% 2.78/1.28 % (1161546)Time elapsed: 0.067 s
% 2.78/1.28 % (1161546)Peak memory usage: 89 MB
% 2.78/1.28 % (1161546)Instructions burned: 115 (million)
% 2.78/1.28 % (1161634)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4004904167:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.78/1.28 % (1161634)Refutation not found, incomplete strategy
% 2.78/1.28 % (1161634)------------------------------
% 2.78/1.28 % (1161634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.28 % (1161634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.28 % (1161634)CaDiCaL version: 2.1.3
% 2.78/1.28 % (1161634)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.28 % (1161634)Time elapsed: 0.004 s
% 2.78/1.28 % (1161634)Peak memory usage: 88 MB
% 2.78/1.28 % (1161634)Instructions burned: 4 (million)
% 2.78/1.28 % (1161545)------------------------------
% 2.78/1.28 % (1161545)------------------------------
% 2.78/1.28 % (1161548)------------------------------
% 2.78/1.28 % (1161548)------------------------------
% 2.78/1.28 % (1161547)Refutation found. Thanks to Tanya!
% 2.78/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.78/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.47 % (1161547)------------------------------
% 3.65/1.47 % (1161547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.47 % (1161547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.47 % (1161547)CaDiCaL version: 2.1.3
% 3.65/1.47 % (1161547)Termination reason: Refutation
% 3.65/1.47 % (1161547)Time elapsed: 0.014 s
% 3.65/1.47 % (1161547)Peak memory usage: 89 MB
% 3.65/1.47 % (1161547)Instructions burned: 19 (million)
% 3.65/1.47 % (1161547)------------------------------
% 3.65/1.47 % (1161547)------------------------------
% 3.65/1.47 % (1161505)Success in time 0.425 s
% 3.65/1.47 % Vampire exiting
%------------------------------------------------------------------------------