%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP212-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 10:13:20 AM UTC 2026
% Result : Unsatisfiable 3.28s 1.33s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 45
% Syntax : Number of formulae : 261 ( 17 unt; 18 def)
% Number of atoms : 739 ( 256 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 887 ( 409 ~; 460 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 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 : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c2 = inverse(sk_c1)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f26]) ).
fof(f38,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = inverse(sk_c3)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f56]) ).
fof(f62,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( 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(sk_c8) != sk_c7
| 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(f65,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| sk_c8 != multiply(X1,sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| inverse(sk_c8) != 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,[],[f64]) ).
fof(f66,plain,
! [X2,X3,X0,X4,X5] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| inverse(sk_c8) != 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,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X5] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| inverse(sk_c8) != 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,[],[f66]) ).
fof(f69,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(f70,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_3
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( inverse(sk_c8) != sk_c7
| spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_4
<=> ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f67,f79,f72,f75,f72,f69]) ).
fof(f83,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f85,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl0_6
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f89,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f63,f87,f83]) ).
fof(f92,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f94,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f97,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f99,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f102,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f104,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f57,f87,f102]) ).
fof(f107,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f109,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f55,f87,f107]) ).
fof(f111,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f53,f87,f75]) ).
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(f116,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f51,f113,f83]) ).
fof(f117,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f49,f113,f92]) ).
fof(f118,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f47,f113,f97]) ).
fof(f119,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f45,f113,f102]) ).
fof(f120,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f43,f113,f107]) ).
fof(f121,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f41,f113,f75]) ).
fof(f123,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f125,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f39,f123,f83]) ).
fof(f133,definition,
( spl0_13
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f135,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f133,f83]) ).
fof(f137,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f25,f133,f92]) ).
fof(f138,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f133,f97]) ).
fof(f139,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f21,f133,f102]) ).
fof(f140,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f19,f133,f107]) ).
fof(f141,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f17,f133,f75]) ).
fof(f143,definition,
( spl0_14
<=> multiply(sk_c1,sk_c2) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f145,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f15,f143,f83]) ).
fof(f147,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f13,f143,f92]) ).
fof(f148,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f11,f143,f97]) ).
fof(f149,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f9,f143,f102]) ).
fof(f150,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f7,f143,f107]) ).
fof(f151,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f5,f143,f75]) ).
fof(f152,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f73,f104]) ).
fof(f153,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f152]) ).
fof(f154,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f153,f109]) ).
fof(f155,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f156,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f73,f89]) ).
fof(f157,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f156]) ).
fof(f158,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f157,f115]) ).
fof(f159,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f160,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f70,f94]) ).
fof(f164,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f160,f85]) ).
fof(f165,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f164,f92,f83,f69,f97]) ).
fof(f176,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f135]) ).
fof(f178,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f109]) ).
fof(f180,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f115]) ).
fof(f194,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c8,X0)
| ~ spl0_14 ),
inference(superposition,[],[f4,f145]) ).
fof(f197,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f176]) ).
fof(f200,plain,
( ! [X0,X1] :
( sk_c7 != multiply(sk_c8,multiply(X0,multiply(X1,sk_c8)))
| sk_c8 != inverse(multiply(X0,X1)) )
| ~ spl0_1 ),
inference(superposition,[],[f70,f4]) ).
fof(f201,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f197,f1]) ).
fof(f202,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f194,f1]) ).
fof(f220,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f201,f145]) ).
fof(f230,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f195,f220]) ).
fof(f242,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f230,f145]) ).
fof(f270,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c8,sk_c8))
| sk_c8 != inverse(multiply(sk_c1,sk_c2))
| ~ spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f200,f195]) ).
fof(f279,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(multiply(sk_c1,sk_c2))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f270,f242]) ).
fof(f286,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(multiply(sk_c1,sk_c2))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f279,f242]) ).
fof(f289,plain,
( sk_c8 != inverse(sk_c8)
| sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f286,f145]) ).
fof(f309,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl0_13 ),
inference(superposition,[],[f202,f176]) ).
fof(f310,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f202,f220]) ).
fof(f311,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f202,f125]) ).
fof(f313,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f202,f178]) ).
fof(f315,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f202,f180]) ).
fof(f317,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f202,f94]) ).
fof(f319,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f202,f89]) ).
fof(f326,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f319,f115]) ).
fof(f328,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f317,f85]) ).
fof(f333,plain,
( identity = sk_c8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f310,f3]) ).
fof(f336,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f326,f242]) ).
fof(f340,definition,
( spl0_21
<=> sk_c8 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f341,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f342,plain,
( sk_c8 != inverse(sk_c8)
| spl0_21 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f344,definition,
( spl0_22
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f345,plain,
( sk_c8 = sk_c7
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f346,plain,
( sk_c8 != sk_c7
| spl0_22 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f350,plain,
( ~ spl0_22
| ~ spl0_21
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f289,f143,f133,f69,f340,f344]) ).
fof(f352,plain,
( spl0_22
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f336,f143,f133,f113,f87,f344]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1,f333]) ).
fof(f389,plain,
( sk_c1 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f309,f333]) ).
fof(f390,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_12
| ~ spl0_22 ),
inference(forward_demodulation,[],[f311,f345]) ).
fof(f397,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f313,f333]) ).
fof(f398,plain,
( identity = sk_c4
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f397,f3]) ).
fof(f399,plain,
( sk_c8 = sk_c4
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f398,f333]) ).
fof(f402,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f109,f399]) ).
fof(f403,plain,
( $false
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f402,f342]) ).
fof(f404,plain,
( ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f430,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f315,f333]) ).
fof(f431,plain,
( identity = sk_c3
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f430,f3]) ).
fof(f432,plain,
( sk_c8 = sk_c3
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f431,f333]) ).
fof(f436,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f115,f432]) ).
fof(f443,plain,
( spl0_21
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f436,f143,f133,f113,f340]) ).
fof(f451,plain,
( sk_c1 = sk_c8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f390,f389]) ).
fof(f459,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f145,f451]) ).
fof(f461,plain,
( sk_c2 = sk_c8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f459,f355]) ).
fof(f509,plain,
( sk_c8 != sk_c7
| spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f77,f341]) ).
fof(f514,plain,
( $false
| spl0_3
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f509,f345]) ).
fof(f515,plain,
( spl0_3
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f519,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c8)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f80,f345]) ).
fof(f521,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| multiply(sk_c1,sk_c2) != sk_c8
| ~ spl0_4
| ~ spl0_13
| ~ spl0_22 ),
inference(superposition,[],[f519,f135]) ).
fof(f523,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f519,f115]) ).
fof(f524,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_4
| ~ spl0_22 ),
inference(superposition,[],[f519,f3]) ).
fof(f531,plain,
( sk_c8 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f524,f333]) ).
fof(f532,plain,
( sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f523,f242]) ).
fof(f535,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f521,f145]) ).
fof(f538,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f531,f355]) ).
fof(f539,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f532,f432]) ).
fof(f540,plain,
( sk_c2 != sk_c8
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f535,f220]) ).
fof(f544,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f538,f341]) ).
fof(f545,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f544]) ).
fof(f546,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f539,f242]) ).
fof(f547,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f548,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f540,f461]) ).
fof(f549,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f553,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f104,f345]) ).
fof(f562,definition,
( spl0_26
<=> sk_c8 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f579,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_22 ),
inference(superposition,[],[f519,f109]) ).
fof(f584,definition,
( spl0_28
<=> sk_c8 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f585,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f587,plain,
( ~ spl0_28
| ~ spl0_26
| ~ spl0_4
| ~ spl0_10
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f579,f344,f107,f79,f562,f584]) ).
fof(f606,plain,
( spl0_28
| ~ spl0_9
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f553,f344,f102,f584]) ).
fof(f607,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_28 ),
inference(superposition,[],[f202,f585]) ).
fof(f609,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_28 ),
inference(forward_demodulation,[],[f607,f109]) ).
fof(f610,plain,
( spl0_26
| ~ spl0_10
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f609,f584,f107,f562]) ).
fof(f611,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f76,f341]) ).
fof(f613,plain,
( spl0_22
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f611,f340,f75,f344]) ).
fof(f700,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f328,f99]) ).
fof(f709,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f700,f346]) ).
fof(f710,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f709]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f81]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f90]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f105]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f110]) ).
cnf(s8,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f111]) ).
cnf(s9,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f116]) ).
cnf(s10,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f117]) ).
cnf(s11,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f118]) ).
cnf(s12,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s13,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f120]) ).
cnf(s14,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f121]) ).
cnf(s15,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f126]) ).
cnf(s21,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s22,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s23,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s24,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s25,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s26,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f141]) ).
cnf(s27,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s28,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s29,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s30,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s31,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s32,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f155]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(sat_conversion,[],[f159]) ).
cnf(s36,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f165]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f350]) ).
cnf(s46,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| spl0_22 ),
inference(sat_conversion,[],[f352]) ).
cnf(s53,plain,
( ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f404]) ).
cnf(s56,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f443]) ).
cnf(s61,plain,
( spl0_3
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f515]) ).
cnf(s65,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f545]) ).
cnf(s66,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(sat_conversion,[],[f547]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_22 ),
inference(sat_conversion,[],[f549]) ).
cnf(s72,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_22
| ~ spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f587]) ).
cnf(s75,plain,
( ~ spl0_9
| ~ spl0_22
| spl0_28 ),
inference(sat_conversion,[],[f606]) ).
cnf(s76,plain,
( ~ spl0_10
| spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f610]) ).
cnf(s77,plain,
( ~ spl0_3
| ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f613]) ).
cnf(s89,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_22 ),
inference(sat_conversion,[],[f710]) ).
cnf(s90,plain,
spl0_3,
inference(rat,[],[s61,s46,s56,s8,s14,s26,s32]) ).
cnf(s91,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s46,s67,s3,s9,s15,s21,s27]) ).
cnf(s93,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s72,s76,s75,s89,s28,s29,s30,s31,s91]) ).
cnf(s94,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s72,s76,s75,s89,s22,s23,s24,s25,s91]) ).
cnf(s95,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s65,s89,s53,s10,s11,s13,s91,s93,s94]) ).
cnf(s96,plain,
~ spl0_4,
inference(rat,[],[s77,s66,s56,s95,s94,s93,s90]) ).
cnf(s97,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s33,s12,s13]) ).
cnf(s98,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s33,s6,s7,s34]) ).
cnf(s99,plain,
~ spl0_2,
inference(rat,[],[s98,s97]) ).
cnf(s100,plain,
spl0_1,
inference(rat,[],[s2,s90,s96,s99]) ).
cnf(s102,plain,
spl0_14,
inference(rat,[],[s36,s27,s28,s29,s100]) ).
cnf(s103,plain,
spl0_13,
inference(rat,[],[s36,s21,s22,s23,s100]) ).
cnf(s104,plain,
spl0_11,
inference(rat,[],[s36,s9,s10,s11,s100]) ).
cnf(s105,plain,
spl0_21,
inference(rat,[],[s56,s104,s102,s103]) ).
cnf(s107,plain,
spl0_22,
inference(rat,[],[s77,s90,s105]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s45,s103,s100,s102,s107,s105]) ).
fof(f711,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP212-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n006.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 09:37:25 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.28/1.33 % (2737523)Input is clausal, will run a generic CNF schedule.
% 3.28/1.33 % (2737632)lrs+10_1_sil=8000:sp=occurrence:random_seed=2519887619:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.28/1.33 % (2737631)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1438939611:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.28/1.33 % (2737629)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=3240874087:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.28/1.33 % (2737630)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1198309376:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.28/1.33 % (2737632)Instruction limit reached!
% 3.28/1.33 % (2737632)------------------------------
% 3.28/1.33 % (2737632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.33 % (2737632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.33 % (2737632)CaDiCaL version: 2.1.3
% 3.28/1.33 % (2737632)Termination reason: Instruction limit
% 3.28/1.33 % (2737632)Termination phase: Saturation
% 3.28/1.33 % (2737632)Time elapsed: 0.032 s
% 3.28/1.33 % (2737632)Peak memory usage: 89 MB
% 3.28/1.33 % (2737632)Instructions burned: 109 (million)
% 3.28/1.33 % (2737633)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1858803838:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.28/1.33 % (2737635)dis-21_1_sil=8000:lcm=predicate:random_seed=4196728382: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)
% 3.28/1.33 % (2737635)Refutation not found, incomplete strategy
% 3.28/1.33 % (2737635)------------------------------
% 3.28/1.33 % (2737635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.33 % (2737635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.33 % (2737635)CaDiCaL version: 2.1.3
% 3.28/1.33 % (2737635)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.33 % (2737635)Time elapsed: 0.002 s
% 3.28/1.33 % (2737635)Peak memory usage: 88 MB
% 3.28/1.33 % (2737635)Instructions burned: 2 (million)
% 3.28/1.33 % (2737634)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4201675527:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.28/1.33 % (2737634)First to succeed.
% 3.28/1.33 % (2737634)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2737523"
% 3.28/1.33 % (2737633)Instruction limit reached!
% 3.28/1.33 % (2737633)------------------------------
% 3.28/1.33 % (2737633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.33 % (2737633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.33 % (2737633)CaDiCaL version: 2.1.3
% 3.28/1.33 % (2737633)Termination reason: Instruction limit
% 3.28/1.33 % (2737633)Termination phase: Saturation
% 3.28/1.33 % (2737633)Time elapsed: 0.086 s
% 3.28/1.33 % (2737633)Peak memory usage: 89 MB
% 3.28/1.33 % (2737633)Instructions burned: 114 (million)
% 3.28/1.33 % (2737644)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=1182345259:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.28/1.33 % (2737672)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3715785964:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.28/1.33 % (2737644)Instruction limit reached!
% 3.28/1.33 % (2737644)------------------------------
% 3.28/1.33 % (2737644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.33 % (2737644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.33 % (2737644)CaDiCaL version: 2.1.3
% 3.28/1.33 % (2737644)Termination reason: Instruction limit
% 3.28/1.33 % (2737644)Termination phase: Saturation
% 3.28/1.33 % (2737644)Time elapsed: 0.073 s
% 3.28/1.33 % (2737644)Peak memory usage: 90 MB
% 3.28/1.33 % (2737644)Instructions burned: 144 (million)
% 3.28/1.33 % (2737635)------------------------------
% 3.28/1.33 % (2737635)------------------------------
% 3.28/1.33 % (2737634)Refutation found. Thanks to Tanya!
% 3.28/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.28/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.53 % (2737634)------------------------------
% 3.88/1.53 % (2737634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.53 % (2737634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.53 % (2737634)CaDiCaL version: 2.1.3
% 3.88/1.53 % (2737634)Termination reason: Refutation
% 3.88/1.53 % (2737634)Time elapsed: 0.017 s
% 3.88/1.53 % (2737634)Peak memory usage: 90 MB
% 3.88/1.53 % (2737634)Instructions burned: 25 (million)
% 3.88/1.53 % (2737634)------------------------------
% 3.88/1.53 % (2737634)------------------------------
% 3.88/1.53 % (2737523)Success in time 0.461 s
% 3.88/1.53 % Vampire exiting
%------------------------------------------------------------------------------