%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP368-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:37 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 48
% Syntax : Number of formulae : 327 ( 21 unt; 19 def)
% Number of atoms : 1186 ( 321 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1650 ( 791 ~; 840 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/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/sandbox2/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(f15,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ 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_c6 != multiply(sk_c7,multiply(X1,sk_c7))
| sk_c7 != inverse(X1) )
| ~ 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(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(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(f151,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f90,f80]) ).
fof(f152,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_3 ),
inference(superposition,[],[f3,f77]) ).
fof(f153,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f106]) ).
fof(f156,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f157,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| ~ spl0_2 ),
inference(superposition,[],[f4,f73]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f81]) ).
fof(f159,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f97]) ).
fof(f160,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f156,f1]) ).
fof(f165,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f153]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f182,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c4,sk_c5)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f159,f81]) ).
fof(f196,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_10 ),
inference(superposition,[],[f160,f153]) ).
fof(f198,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f160,f81]) ).
fof(f199,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
| ~ spl0_4 ),
inference(superposition,[],[f160,f158]) ).
fof(f200,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f160,f97]) ).
fof(f201,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c4),multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f160,f159]) ).
fof(f204,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f201,f106]) ).
fof(f205,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f200,f106]) ).
fof(f206,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f199,f77]) ).
fof(f207,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f198,f77]) ).
fof(f211,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f157,f207]) ).
fof(f214,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f211,f205]) ).
fof(f257,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f182,f205]) ).
fof(f258,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f166,f257]) ).
fof(f270,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f204,f73]) ).
fof(f281,plain,
( sk_c5 = multiply(sk_c6,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f270,f258]) ).
fof(f285,plain,
( sk_c5 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f281,f214]) ).
fof(f289,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c7,sk_c5)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f206,f207]) ).
fof(f299,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f289,f73]) ).
fof(f305,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f299,f80,f76,f72,f90]) ).
fof(f316,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f257,f285]) ).
fof(f317,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f316,f97]) ).
fof(f320,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f77,f317]) ).
fof(f323,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f152,f317]) ).
fof(f337,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f323,f285]) ).
fof(f339,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f320,f285]) ).
fof(f345,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f337,f81]) ).
fof(f346,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f339,f317]) ).
fof(f348,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f345,f285]) ).
fof(f349,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f348,f317]) ).
fof(f362,plain,
( sk_c7 = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f91,f317]) ).
fof(f363,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f362,f285]) ).
fof(f364,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f363,f317]) ).
fof(f376,plain,
( ! [X1] :
( sk_c7 != multiply(sk_c7,multiply(X1,sk_c7))
| sk_c7 != inverse(X1) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f88,f317]) ).
fof(f384,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f376,f166]) ).
fof(f386,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f384]) ).
fof(f388,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f386,f106]) ).
fof(f389,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f405,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f70,f317]) ).
fof(f409,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f405,f364]) ).
fof(f412,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f409]) ).
fof(f420,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f346,f412]) ).
fof(f421,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f422,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c5 != inverse(X2) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f85,f285]) ).
fof(f423,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c5 != inverse(X2) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f422,f317]) ).
fof(f424,plain,
( ! [X2] :
( sk_c6 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f423,f285]) ).
fof(f425,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f424,f317]) ).
fof(f427,plain,
( ! [X0,X1] :
( sk_c7 != multiply(X0,multiply(X1,sk_c7))
| sk_c7 != inverse(multiply(X0,X1)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f425,f4]) ).
fof(f475,plain,
( ! [X0] :
( identity != sk_c7
| sk_c7 != inverse(multiply(inverse(multiply(X0,sk_c7)),X0)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f427,f3]) ).
fof(f495,plain,
( ! [X0] : sk_c7 != inverse(multiply(inverse(multiply(X0,sk_c7)),X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f475,f349]) ).
fof(f568,plain,
( sk_c7 != inverse(multiply(inverse(sk_c7),identity))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f495,f1]) ).
fof(f581,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f568,f196]) ).
fof(f586,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f581,f106]) ).
fof(f587,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f597,plain,
( identity = multiply(sk_c5,sk_c3)
| ~ spl0_9 ),
inference(superposition,[],[f3,f101]) ).
fof(f599,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f123]) ).
fof(f602,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f91]) ).
fof(f604,plain,
( sk_c5 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f160,f114]) ).
fof(f606,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f604,f101]) ).
fof(f607,plain,
( sk_c5 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f606,f91]) ).
fof(f631,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_13 ),
inference(superposition,[],[f160,f132]) ).
fof(f633,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f631,f123]) ).
fof(f646,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f597,f607]) ).
fof(f673,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f602,f607]) ).
fof(f884,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f198,f607]) ).
fof(f992,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f77,f607]) ).
fof(f1018,plain,
( ! [X0,X1] :
( sk_c7 != multiply(X0,multiply(X1,sk_c6))
| sk_c7 != inverse(multiply(X0,X1)) )
| ~ spl0_1 ),
inference(superposition,[],[f70,f4]) ).
fof(f1022,definition,
( spl0_15
<=> sk_c7 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f1023,plain,
( sk_c7 = inverse(identity)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1024,plain,
( sk_c7 != inverse(identity)
| spl0_15 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1026,definition,
( spl0_16
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f1027,plain,
( sk_c7 = sk_c6
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1031,definition,
( spl0_17
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f1032,plain,
( identity = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f1035,definition,
( spl0_18
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f1036,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1037,plain,
( sk_c7 != inverse(sk_c6)
| spl0_18 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1039,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_18 ),
inference(superposition,[],[f1037,f992]) ).
fof(f1040,plain,
( ~ spl0_16
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f1039,f1035,f112,f99,f90,f76,f1026]) ).
fof(f1048,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c6,sk_c2)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f673,f141]) ).
fof(f1052,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f160,f673]) ).
fof(f1055,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1052,f160]) ).
fof(f1084,plain,
( sk_c7 = sk_c6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f141,f633]) ).
fof(f1100,plain,
( spl0_16
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1084,f139,f130,f121,f1026]) ).
fof(f1105,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f646,f1027]) ).
fof(f1114,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1036,f1027]) ).
fof(f1118,plain,
( ! [X0,X1] :
( sk_c7 != multiply(X0,multiply(X1,sk_c7))
| sk_c7 != inverse(multiply(X0,X1)) )
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1018,f1027]) ).
fof(f1131,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(multiply(sk_c6,sk_c7))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f1118,f673]) ).
fof(f1148,plain,
( sk_c5 != sk_c7
| sk_c7 != inverse(multiply(sk_c6,sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1131,f81]) ).
fof(f1159,definition,
( spl0_21
<=> sk_c7 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f1168,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(multiply(sk_c6,sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1148,f607]) ).
fof(f1173,plain,
( sk_c7 != inverse(multiply(sk_c6,sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1168,f1027]) ).
fof(f1178,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1173,f81]) ).
fof(f1181,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1178,f607]) ).
fof(f1185,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1181,f1027]) ).
fof(f1188,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1185,f1114]) ).
fof(f1189,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1190,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(sk_c7,multiply(X1,sk_c7)) )
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f88,f1027]) ).
fof(f1194,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,multiply(sk_c1,sk_c7))
| ~ spl0_6
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f1190,f123]) ).
fof(f1196,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c1,sk_c7))
| ~ spl0_6
| ~ spl0_12
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1194]) ).
fof(f1200,plain,
( sk_c7 != multiply(sk_c7,sk_c2)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1196,f132]) ).
fof(f1205,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1200,f633]) ).
fof(f1206,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1211,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c5 != inverse(X2) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f85,f607]) ).
fof(f1212,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c5 != inverse(X2) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1211,f1027]) ).
fof(f1213,plain,
( ! [X2] :
( sk_c6 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1212,f607]) ).
fof(f1214,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1213,f1027]) ).
fof(f1216,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f1214,f992]) ).
fof(f1225,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1216,f1027]) ).
fof(f1228,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1225,f1027]) ).
fof(f1229,plain,
( ~ spl0_21
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1228,f1026,f112,f99,f90,f84,f76,f1159]) ).
fof(f1232,plain,
( sk_c5 != inverse(sk_c7)
| spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f78,f1027]) ).
fof(f1234,plain,
( multiply(sk_c7,sk_c2) = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1048,f1027]) ).
fof(f1237,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1234,f141]) ).
fof(f1238,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1237,f1027]) ).
fof(f1239,plain,
( spl0_21
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1238,f1026,f139,f112,f99,f90,f1159]) ).
fof(f1244,plain,
( sk_c6 != inverse(sk_c7)
| spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1232,f607]) ).
fof(f1245,plain,
( sk_c7 != inverse(sk_c7)
| spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1244,f1027]) ).
fof(f1277,plain,
( identity = sk_c1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1055,f599]) ).
fof(f1299,plain,
( identity = sk_c3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1105,f1055]) ).
fof(f1306,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| spl0_15 ),
inference(superposition,[],[f1024,f1277]) ).
fof(f1308,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f1306,f123]) ).
fof(f1309,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1310,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1023,f1299]) ).
fof(f1311,plain,
( sk_c5 = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f1310,f101]) ).
fof(f1323,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f884,f1027]) ).
fof(f1344,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f3,f1323]) ).
fof(f1352,plain,
( spl0_17
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1344,f1026,f112,f99,f90,f80,f1031]) ).
fof(f1354,plain,
( sk_c7 = sk_c3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1032,f1299]) ).
fof(f1359,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f101,f1354]) ).
fof(f1372,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1359,f607]) ).
fof(f1375,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1372,f1027]) ).
fof(f1377,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1375,f1245]) ).
fof(f1378,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1377]) ).
fof(f1379,plain,
( sk_c6 != multiply(sk_c7,sk_c6)
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f74,f607]) ).
fof(f1423,plain,
( $false
| spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1379,f1055]) ).
fof(f1424,plain,
( spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1423]) ).
fof(f1497,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f82,f1027]) ).
fof(f1515,plain,
( sk_c5 != sk_c7
| spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1497,f1055]) ).
fof(f1528,plain,
( $false
| spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1515,f1311]) ).
fof(f1529,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1528]) ).
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(s29,plain,
( spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s30,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f150]) ).
cnf(s31,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f151]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f305]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f389]) ).
cnf(s35,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f421]) ).
cnf(s36,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f587]) ).
cnf(s41,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s45,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s53,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f1206]) ).
cnf(s56,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_21 ),
inference(sat_conversion,[],[f1229]) ).
cnf(s58,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f1239]) ).
cnf(s61,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f1309]) ).
cnf(s64,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f1352]) ).
cnf(s67,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1378]) ).
cnf(s69,plain,
( spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f1424]) ).
cnf(s70,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f1529]) ).
cnf(s71,plain,
spl0_2,
inference(rat,[],[s69,s4,s9,s29]) ).
cnf(s72,plain,
spl0_3,
inference(rat,[],[s64,s70,s67,s61,s45,s5,s10,s15,s20,s25,s30]) ).
cnf(s73,plain,
( spl0_8
| ~ spl0_6 ),
inference(rat,[],[s53,s45,s12,s17,s22]) ).
cnf(s74,plain,
( ~ spl0_8
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s53,s45,s13,s18,s23,s34,s72,s71]) ).
cnf(s75,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s74,s73]) ).
cnf(s76,plain,
( spl0_8
| ~ spl0_5
| ~ spl0_7 ),
inference(rat,[],[s56,s58,s45,s2,s7,s12,s17,s22,s72]) ).
cnf(s77,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s56,s58,s45,s3,s8,s13,s18,s23,s36,s76,s1,s71,s72]) ).
cnf(s78,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s77,s75,s33,s71,s72]) ).
cnf(s79,plain,
spl0_4,
inference(rat,[],[s70,s61,s45,s6,s11,s16,s21,s26,s31]) ).
cnf(s80,plain,
spl0_7,
inference(rat,[],[s33,s72,s71,s79]) ).
cnf(s82,plain,
spl0_1,
inference(rat,[],[s78,s79]) ).
cnf(s83,plain,
( ~ spl0_9
| ~ spl0_16
| ~ spl0_11 ),
inference(rat,[],[s51,s41,s72,s82,s79,s80]) ).
cnf(s84,plain,
spl0_8,
inference(rat,[],[s83,s45,s2,s7,s12,s17,s22]) ).
cnf(s85,plain,
~ spl0_10,
inference(rat,[],[s35,s80,s79,s72,s71,s82,s84]) ).
cnf(s86,plain,
spl0_14,
inference(rat,[],[s23,s85]) ).
cnf(s87,plain,
spl0_13,
inference(rat,[],[s18,s85]) ).
cnf(s88,plain,
spl0_12,
inference(rat,[],[s13,s85]) ).
cnf(s89,plain,
spl0_11,
inference(rat,[],[s8,s85]) ).
cnf(s90,plain,
spl0_9,
inference(rat,[],[s3,s85]) ).
cnf(s91,plain,
spl0_16,
inference(rat,[],[s45,s87,s86,s88]) ).
cnf(s94,plain,
$false,
inference(rat,[],[s83,s89,s91,s90]) ).
fof(f1539,plain,
$false,
inference(avatar_sat_refutation,[],[s94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP368-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:57:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.47 % (3265149)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3265155)% WARNING: option uhcvi not known.
% 0.16/0.47 % (3265155)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3271069011:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (3265154)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3295942680_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (3265156)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3348194759:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (3265157)dis+10_1_sil=32000:sp=arity:random_seed=2470755639:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (3265159)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=844637168:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (3265160)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=512189579:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (3265158)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1391839102:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % (3265155) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3265149-3265155"...
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % (3265155)...printing done.
% 0.16/0.47 % (3265155)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (3265155)------------------------------
% 0.16/0.48 % (3265155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (3265155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (3265155)CaDiCaL version: 2.1.3
% 0.16/0.48 % (3265155)Termination reason: Refutation
% 0.16/0.48 % (3265155)Time elapsed: 0.016 s
% 0.16/0.48 % (3265155)Peak memory usage: 13 MB
% 0.16/0.48 % (3265155)Instructions burned: 49 (million)
% 0.16/0.48 % (3265149)Success in time 0.05 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------