%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP368-1 : 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 : n016.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 10:13:46 AM UTC 2026
% Result : Unsatisfiable 1.81s 1.12s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 44
% Syntax : Number of formulae : 264 ( 20 unt; 14 def)
% Number of atoms : 962 ( 257 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1316 ( 618 ~; 684 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 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(f7,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f21,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f27]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c3) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c5 = inverse(sk_c3)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c3) = sk_c5
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c5 = inverse(sk_c3)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c3) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c5 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c3) = sk_c5
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c5 = inverse(sk_c3)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c3) = sk_c5
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c5 = inverse(sk_c3)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c7,X0) != sk_c6
| multiply(X1,sk_c7) != X0
| inverse(X1) != sk_c7
| multiply(X2,sk_c5) != sk_c7
| inverse(X2) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(X3) != sk_c7
| multiply(X3,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c5,sk_c7) != sk_c6
| sk_c6 != multiply(sk_c7,X0)
| multiply(X1,sk_c7) != X0
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X2,sk_c5)
| sk_c5 != inverse(X2)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X1] :
( multiply(sk_c5,sk_c7) != sk_c6
| sk_c6 != multiply(sk_c7,multiply(X1,sk_c7))
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X2,sk_c5)
| sk_c5 != inverse(X2)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ),
inference(equality_resolution,[],[f66]) ).
fof(f69,definition,
( spl0_1
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f76,definition,
( spl0_3
<=> sk_c5 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f77,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( sk_c5 != inverse(sk_c6)
| spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,definition,
( spl0_4
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f81,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,definition,
( spl0_5
<=> ! [X2] :
( sk_c7 != multiply(X2,sk_c5)
| sk_c5 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f85,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c5)
| sk_c5 != inverse(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_6
<=> ! [X1] :
( sk_c6 != multiply(sk_c7,multiply(X1,sk_c7))
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f88,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c6 != multiply(sk_c7,multiply(X1,sk_c7)) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,definition,
( spl0_7
<=> multiply(sk_c5,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f91,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f92,plain,
( multiply(sk_c5,sk_c7) != sk_c6
| spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f67,f90,f87,f84,f80,f76,f72,f69]) ).
fof(f95,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c4,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f97,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f99,definition,
( spl0_9
<=> sk_c5 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f64,f99,f95]) ).
fof(f104,definition,
( spl0_10
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f106,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f62,f99,f104]) ).
fof(f108,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f60,f99,f72]) ).
fof(f109,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f58,f99,f76]) ).
fof(f110,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f56,f99,f80]) ).
fof(f112,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c3,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f114,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f54,f112,f95]) ).
fof(f116,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f52,f112,f104]) ).
fof(f117,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f50,f112,f72]) ).
fof(f118,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f48,f112,f76]) ).
fof(f119,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f46,f112,f80]) ).
fof(f121,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f123,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f44,f121,f95]) ).
fof(f125,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f121,f104]) ).
fof(f127,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f121,f76]) ).
fof(f128,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f121,f80]) ).
fof(f130,definition,
( spl0_13
<=> sk_c2 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f132,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f130,f95]) ).
fof(f134,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f32,f130,f104]) ).
fof(f136,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f130,f76]) ).
fof(f137,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f130,f80]) ).
fof(f139,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c7,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f141,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f24,f139,f95]) ).
fof(f143,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f139,f104]) ).
fof(f145,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f18,f139,f76]) ).
fof(f146,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f139,f80]) ).
fof(f147,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f90,f95]) ).
fof(f148,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f12,f90,f104]) ).
fof(f149,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f10,f90,f72]) ).
fof(f150,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f90,f76]) ).
fof(f156,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f4,f73]) ).
fof(f162,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f156,f1]) ).
fof(f203,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f162,f73]) ).
fof(f209,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f162,f97]) ).
fof(f214,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f209,f106]) ).
fof(f218,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f162,f214]) ).
fof(f235,plain,
( sk_c5 = sk_c7
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f218,f203]) ).
fof(f241,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f92,f235]) ).
fof(f247,plain,
( $false
| ~ spl0_2
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f241,f214]) ).
fof(f248,plain,
( ~ spl0_2
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f250,plain,
( sk_c5 != sk_c7
| sk_c6 != multiply(sk_c7,multiply(sk_c6,sk_c7))
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f88,f77]) ).
fof(f254,plain,
( sk_c6 != multiply(sk_c7,multiply(sk_c6,sk_c7))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f250,f235]) ).
fof(f255,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f254,f81]) ).
fof(f256,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f255,f73]) ).
fof(f257,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f258,plain,
( sk_c5 != sk_c7
| sk_c7 != multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f70,f77]) ).
fof(f259,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f70,f106]) ).
fof(f260,plain,
( sk_c7 != multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f259]) ).
fof(f261,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f260,f97]) ).
fof(f262,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f265,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c5 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f85,f235]) ).
fof(f266,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f265,f235]) ).
fof(f276,plain,
( sk_c5 != sk_c7
| sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f266,f77]) ).
fof(f279,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f276,f235]) ).
fof(f280,plain,
( sk_c5 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f279,f81]) ).
fof(f281,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f280,f235]) ).
fof(f282,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f291,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f123]) ).
fof(f294,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_13 ),
inference(superposition,[],[f162,f132]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c2,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f132]) ).
fof(f296,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f294,f123]) ).
fof(f298,plain,
( sk_c2 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f162,f141]) ).
fof(f300,plain,
( sk_c5 = sk_c2
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f298,f203]) ).
fof(f462,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f158,f91]) ).
fof(f464,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f91]) ).
fof(f465,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f462,f81]) ).
fof(f466,plain,
( sk_c5 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f162,f114]) ).
fof(f468,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f466,f101]) ).
fof(f469,plain,
( sk_c5 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f468,f91]) ).
fof(f481,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f296,f300]) ).
fof(f482,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f481,f469]) ).
fof(f484,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f465,f469]) ).
fof(f485,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f464,f469]) ).
fof(f487,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f162,f482]) ).
fof(f489,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f487,f3]) ).
fof(f513,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f484,f482]) ).
fof(f522,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f162,f485]) ).
fof(f525,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f522,f162]) ).
fof(f533,plain,
( sk_c5 != inverse(sk_c7)
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f78,f513]) ).
fof(f544,plain,
( sk_c6 != inverse(sk_c7)
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f533,f469]) ).
fof(f548,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f544,f513]) ).
fof(f578,plain,
( identity = sk_c1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f291,f525]) ).
fof(f581,plain,
( sk_c6 = sk_c1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f578,f489]) ).
fof(f586,plain,
( sk_c7 = sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f581,f513]) ).
fof(f601,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f123,f586]) ).
fof(f602,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f601,f548]) ).
fof(f603,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f607,plain,
( sk_c5 != sk_c6
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f74,f525]) ).
fof(f608,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c2,X0)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f295,f525]) ).
fof(f609,plain,
( sk_c7 = sk_c2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f296,f525]) ).
fof(f612,plain,
( $false
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f607,f469]) ).
fof(f613,plain,
( spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f615,plain,
( sk_c5 = sk_c7
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f481,f525]) ).
fof(f616,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f482,f525]) ).
fof(f618,plain,
( sk_c6 != multiply(sk_c6,sk_c7)
| spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f82,f469]) ).
fof(f622,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f608,f609]) ).
fof(f623,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f622,f525]) ).
fof(f640,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f618,f616]) ).
fof(f641,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f640,f525]) ).
fof(f642,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f647,plain,
( sk_c6 != multiply(sk_c7,multiply(sk_c6,sk_c7))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f250,f615]) ).
fof(f658,plain,
( sk_c6 != multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f647,f525]) ).
fof(f663,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f658,f616]) ).
fof(f664,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f663,f525]) ).
fof(f665,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f667,plain,
( sk_c7 != multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f258,f615]) ).
fof(f668,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f667,f616]) ).
fof(f669,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f668,f525]) ).
fof(f670,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f671,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c5 != inverse(X2) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f85,f469]) ).
fof(f672,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c5 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f671,f616]) ).
fof(f673,plain,
( ! [X2] :
( sk_c6 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f672,f469]) ).
fof(f674,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f673,f616]) ).
fof(f681,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f674,f123]) ).
fof(f683,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f681]) ).
fof(f686,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f683,f623]) ).
fof(f687,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f686]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f107]) ).
cnf(s4,plain,
( spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f108]) ).
cnf(s5,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f109]) ).
cnf(s6,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f110]) ).
cnf(s7,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f115]) ).
cnf(s8,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f116]) ).
cnf(s9,plain,
( spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f117]) ).
cnf(s10,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f118]) ).
cnf(s11,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s12,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s13,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f125]) ).
cnf(s15,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f127]) ).
cnf(s16,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s17,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f133]) ).
cnf(s18,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f134]) ).
cnf(s20,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s21,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s22,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s23,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s25,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s26,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s27,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f147]) ).
cnf(s28,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f148]) ).
cnf(s29,plain,
( spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s30,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f150]) ).
cnf(s32,plain,
( ~ spl0_2
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f248]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f257]) ).
cnf(s34,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f262]) ).
cnf(s35,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f282]) ).
cnf(s37,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f603]) ).
cnf(s38,plain,
( spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f613]) ).
cnf(s39,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f642]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f665]) ).
cnf(s41,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f670]) ).
cnf(s42,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f687]) ).
cnf(s44,plain,
spl0_2,
inference(rat,[],[s38,s4,s9,s29]) ).
cnf(s45,plain,
spl0_3,
inference(rat,[],[s37,s39,s5,s10,s15,s20,s25,s30,s44]) ).
cnf(s46,plain,
spl0_7,
inference(rat,[],[s32,s27,s28,s44]) ).
cnf(s47,plain,
( spl0_10
| ~ spl0_6 ),
inference(rat,[],[s40,s3,s8,s13,s18,s23,s46,s44,s45]) ).
cnf(s48,plain,
( ~ spl0_10
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s40,s2,s7,s12,s17,s22,s33,s45,s44,s46]) ).
cnf(s49,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s48,s47]) ).
cnf(s50,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s42,s3,s8,s13,s18,s23,s44,s46]) ).
cnf(s51,plain,
( ~ spl0_10
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s42,s2,s7,s12,s17,s22,s35,s45,s46,s44]) ).
cnf(s52,plain,
( spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s51,s50,s1,s46,s44,s45]) ).
cnf(s53,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s52,s49]) ).
cnf(s54,plain,
spl0_4,
inference(rat,[],[s39,s6,s11,s16,s21,s26,s44,s46]) ).
cnf(s56,plain,
spl0_1,
inference(rat,[],[s53,s54]) ).
cnf(s57,plain,
spl0_10,
inference(rat,[],[s41,s3,s8,s13,s18,s23,s46,s44,s45,s56]) ).
cnf(s59,plain,
~ spl0_8,
inference(rat,[],[s34,s56,s57]) ).
cnf(s60,plain,
spl0_14,
inference(rat,[],[s22,s59]) ).
cnf(s61,plain,
spl0_13,
inference(rat,[],[s17,s59]) ).
cnf(s62,plain,
spl0_12,
inference(rat,[],[s12,s59]) ).
cnf(s63,plain,
spl0_11,
inference(rat,[],[s7,s59]) ).
cnf(s64,plain,
spl0_9,
inference(rat,[],[s2,s59]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s41,s60,s61,s62,s56,s45,s44,s46,s63,s64]) ).
fof(f690,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP368-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:02:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 1.81/1.12 % (2385842)Input is clausal, will run a generic CNF schedule.
% 1.81/1.12 % (2385852)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1485860082:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.81/1.12 % (2385852)First to succeed.
% 1.81/1.12 % (2385852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2385842"
% 1.81/1.12 % (2385851)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4145559809:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.81/1.12 % (2385847)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=3660232784:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.81/1.12 % (2385848)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2328632524:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.81/1.12 % (2385849)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1927901926:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.81/1.12 % (2385850)lrs+10_1_sil=8000:sp=occurrence:random_seed=2209079942:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.81/1.12 % (2385853)dis-21_1_sil=8000:lcm=predicate:random_seed=2409282930: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)
% 1.81/1.12 % (2385853)Refutation not found, incomplete strategy
% 1.81/1.12 % (2385853)------------------------------
% 1.81/1.12 % (2385853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.81/1.12 % (2385853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/1.12 % (2385853)CaDiCaL version: 2.1.3
% 1.81/1.12 % (2385853)Termination reason: Refutation not found, incomplete strategy
% 1.81/1.12 % (2385853)Time elapsed: 0.002 s
% 1.81/1.12 % (2385853)Peak memory usage: 88 MB
% 1.81/1.12 % (2385853)Instructions burned: 2 (million)
% 1.81/1.12 % (2385850)Instruction limit reached!
% 1.81/1.12 % (2385850)------------------------------
% 1.81/1.12 % (2385850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.81/1.12 % (2385850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/1.12 % (2385850)CaDiCaL version: 2.1.3
% 1.81/1.12 % (2385850)Termination reason: Instruction limit
% 1.81/1.12 % (2385850)Termination phase: Saturation
% 1.81/1.12 % (2385850)Time elapsed: 0.051 s
% 1.81/1.12 % (2385850)Peak memory usage: 89 MB
% 1.81/1.12 % (2385850)Instructions burned: 109 (million)
% 1.81/1.12 % (2385851)Instruction limit reached!
% 1.81/1.12 % (2385851)------------------------------
% 1.81/1.12 % (2385851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.81/1.12 % (2385851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/1.12 % (2385851)CaDiCaL version: 2.1.3
% 1.81/1.12 % (2385851)Termination reason: Instruction limit
% 1.81/1.12 % (2385851)Termination phase: Saturation
% 1.81/1.12 % (2385851)Time elapsed: 0.075 s
% 1.81/1.12 % (2385851)Peak memory usage: 89 MB
% 1.81/1.12 % (2385851)Instructions burned: 115 (million)
% 1.81/1.12 % (2385852)Refutation found. Thanks to Tanya!
% 1.81/1.12 % SZS status Unsatisfiable for theBenchmark
% 1.81/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.31 % (2385852)------------------------------
% 2.65/1.31 % (2385852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.31 % (2385852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.31 % (2385852)CaDiCaL version: 2.1.3
% 2.65/1.31 % (2385852)Termination reason: Refutation
% 2.65/1.31 % (2385852)Time elapsed: 0.009 s
% 2.65/1.31 % (2385852)Peak memory usage: 89 MB
% 2.65/1.31 % (2385852)Instructions burned: 25 (million)
% 2.65/1.31 % (2385852)------------------------------
% 2.65/1.31 % (2385852)------------------------------
% 2.65/1.31 % (2385842)Success in time 0.295 s
% 2.65/1.31 % Vampire exiting
%------------------------------------------------------------------------------