%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP283-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 10:17:22 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 56
% Syntax : Number of formulae : 410 ( 24 unt; 20 def)
% Number of atoms : 1454 ( 388 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 2023 ( 979 ~;1024 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f7]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c6) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c8,X1) != sk_c7
| multiply(X2,sk_c8) != X1
| inverse(X2) != sk_c8
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(sk_c7) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c7
| multiply(X4,sk_c8) != sk_c6
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,X1)
| multiply(X2,sk_c8) != X1
| sk_c8 != inverse(X2)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X2,X3,X0,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f78]) ).
fof(f81,definition,
( spl0_1
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f82,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f85,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_3
<=> sk_c6 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f88,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( sk_c6 != inverse(sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl0_4
<=> sk_c8 = multiply(sk_c7,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( sk_c8 != multiply(sk_c7,sk_c6)
| spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl0_5
<=> ! [X2] :
( sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f96,plain,
( ! [X2] :
( sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,definition,
( spl0_6
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f99,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,definition,
( spl0_7
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f102,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f79,f101,f98,f95,f91,f87,f84,f81]) ).
fof(f106,definition,
( spl0_8
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f108,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f112,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f76,f110,f106]) ).
fof(f115,definition,
( spl0_10
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f117,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f74,f110,f115]) ).
fof(f120,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f122,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f72,f110,f120]) ).
fof(f125,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f126,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f70,f110,f125]) ).
fof(f129,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f68,f110,f87]) ).
fof(f130,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f66,f110,f91]) ).
fof(f132,definition,
( spl0_13
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f64,f132,f106]) ).
fof(f136,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f62,f132,f115]) ).
fof(f137,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f60,f132,f120]) ).
fof(f138,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f58,f132,f125]) ).
fof(f139,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f56,f132,f87]) ).
fof(f140,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f54,f132,f91]) ).
fof(f142,definition,
( spl0_14
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f144,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f52,f142,f106]) ).
fof(f146,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f50,f142,f115]) ).
fof(f147,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f48,f142,f120]) ).
fof(f148,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f46,f142,f125]) ).
fof(f149,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f142,f87]) ).
fof(f150,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f142,f91]) ).
fof(f152,definition,
( spl0_15
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f154,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f40,f152,f106]) ).
fof(f156,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f38,f152,f115]) ).
fof(f157,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f152,f120]) ).
fof(f159,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f152,f87]) ).
fof(f160,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f152,f91]) ).
fof(f162,definition,
( spl0_16
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f164,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f28,f162,f106]) ).
fof(f166,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f26,f162,f115]) ).
fof(f167,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f24,f162,f120]) ).
fof(f169,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f162,f87]) ).
fof(f170,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f18,f162,f91]) ).
fof(f171,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f101,f106]) ).
fof(f172,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f101,f115]) ).
fof(f175,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f101,f87]) ).
fof(f176,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f101,f91]) ).
fof(f177,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f3,f88]) ).
fof(f179,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f3,f122]) ).
fof(f182,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f186,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f182,f1]) ).
fof(f189,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f177]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f199,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f190,f92]) ).
fof(f200,plain,
( sk_c4 = multiply(sk_c6,identity)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f190,f179]) ).
fof(f235,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f186,f199]) ).
fof(f237,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f186,f127]) ).
fof(f239,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f186,f117]) ).
fof(f244,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f239,f108]) ).
fof(f246,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f237,f122]) ).
fof(f247,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f235,f3]) ).
fof(f259,plain,
( identity = multiply(identity,sk_c6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f244,f247]) ).
fof(f260,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f259,f1]) ).
fof(f262,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f177,f260]) ).
fof(f266,plain,
( sk_c4 = multiply(identity,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f200,f260]) ).
fof(f267,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f266,f1]) ).
fof(f271,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f262,f1]) ).
fof(f276,plain,
( sk_c6 = inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f88,f271]) ).
fof(f278,plain,
( sk_c6 != multiply(sk_c8,identity)
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f103,f271]) ).
fof(f291,plain,
( sk_c6 != multiply(identity,identity)
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f278,f247]) ).
fof(f293,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f276,f260]) ).
fof(f297,plain,
( identity != sk_c6
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f291,f1]) ).
fof(f300,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f297,f260]) ).
fof(f301,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f317,definition,
( spl0_17
<=> identity = sk_c4 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f318,plain,
( identity = sk_c4
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f321,definition,
( spl0_18
<=> identity = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f322,plain,
( identity = inverse(identity)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f325,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f267,f120,f115,f106,f91,f87,f317]) ).
fof(f327,plain,
( identity = inverse(sk_c2)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f112,f247]) ).
fof(f330,plain,
( identity = inverse(sk_c1)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f154,f247]) ).
fof(f331,plain,
( sk_c7 = multiply(sk_c1,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f164,f247]) ).
fof(f334,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f102,f247]) ).
fof(f338,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f334,f1]) ).
fof(f350,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f3,f327]) ).
fof(f351,plain,
( identity = sk_c2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f350,f1]) ).
fof(f353,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f327,f351]) ).
fof(f354,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f353,f110,f91,f87,f321]) ).
fof(f356,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f3,f330]) ).
fof(f357,plain,
( identity = sk_c1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f356,f1]) ).
fof(f365,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f331,f357]) ).
fof(f366,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f365,f1]) ).
fof(f367,plain,
( sk_c6 = inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f88,f366]) ).
fof(f382,plain,
( sk_c7 = inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f367,f338]) ).
fof(f390,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f382,f366]) ).
fof(f394,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f390,f162,f152,f101,f91,f87,f321]) ).
fof(f396,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f3,f112]) ).
fof(f398,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f154]) ).
fof(f405,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f186,f134]) ).
fof(f406,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c3,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f134]) ).
fof(f407,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f405,f112]) ).
fof(f411,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_16 ),
inference(superposition,[],[f186,f164]) ).
fof(f413,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f411,f154]) ).
fof(f417,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f96,f117]) ).
fof(f419,plain,
( sk_c7 != multiply(sk_c8,sk_c3)
| sk_c8 != inverse(sk_c2)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f96,f134]) ).
fof(f420,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f419,f144]) ).
fof(f423,definition,
( spl0_19
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f425,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_19 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f426,plain,
( ~ spl0_8
| ~ spl0_19
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f417,f115,f95,f423,f106]) ).
fof(f437,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f420,f112]) ).
fof(f438,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f445,definition,
( spl0_23
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f446,plain,
( identity = sk_c8
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f458,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f186,f246]) ).
fof(f460,plain,
( identity = sk_c8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f458,f3]) ).
fof(f462,plain,
( spl0_23
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f460,f125,f120,f445]) ).
fof(f463,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl0_7
| ~ spl0_23 ),
inference(superposition,[],[f102,f446]) ).
fof(f466,plain,
( sk_c7 = multiply(identity,sk_c3)
| ~ spl0_14
| ~ spl0_23 ),
inference(superposition,[],[f144,f446]) ).
fof(f470,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f396,f446]) ).
fof(f471,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f398,f446]) ).
fof(f472,plain,
( identity = sk_c1
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f471,f1]) ).
fof(f473,plain,
( identity = sk_c2
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f470,f1]) ).
fof(f475,plain,
( sk_c7 = sk_c3
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f466,f1]) ).
fof(f476,plain,
( sk_c7 = sk_c6
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f463,f1]) ).
fof(f478,plain,
( sk_c7 = multiply(identity,sk_c8)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f164,f472]) ).
fof(f481,plain,
( sk_c8 = sk_c7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f478,f1]) ).
fof(f483,plain,
( identity = sk_c7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f481,f446]) ).
fof(f488,plain,
( sk_c8 = inverse(identity)
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f112,f473]) ).
fof(f501,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f406,f475]) ).
fof(f502,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(identity,X0))
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f501,f446]) ).
fof(f503,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,X0)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f502,f1]) ).
fof(f504,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,X0)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f503,f473]) ).
fof(f505,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f504,f1]) ).
fof(f518,plain,
( sk_c8 = sk_c6
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(superposition,[],[f92,f505]) ).
fof(f524,plain,
( identity = sk_c6
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f518,f446]) ).
fof(f538,plain,
( sk_c8 = sk_c7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f407,f144]) ).
fof(f582,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f413,f538]) ).
fof(f598,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f186,f582]) ).
fof(f600,plain,
( identity = sk_c8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f598,f3]) ).
fof(f615,plain,
( spl0_23
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f600,f162,f152,f142,f132,f110,f445]) ).
fof(f698,plain,
( identity = inverse(identity)
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f488,f446]) ).
fof(f704,plain,
( spl0_18
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f698,f445,f110,f321]) ).
fof(f708,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f85,f538]) ).
fof(f730,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f708,f446]) ).
fof(f742,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f730,f538]) ).
fof(f745,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f742,f446]) ).
fof(f748,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(superposition,[],[f745,f1]) ).
fof(f752,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f748]) ).
fof(f753,plain,
( ~ spl0_18
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f752,f445,f142,f132,f110,f84,f321]) ).
fof(f754,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f82,f446]) ).
fof(f755,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f754,f524]) ).
fof(f756,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f755,f446]) ).
fof(f757,plain,
( sk_c8 != multiply(identity,sk_c7)
| spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f126,f318]) ).
fof(f762,plain,
( sk_c8 != sk_c7
| spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f757,f1]) ).
fof(f765,plain,
( $false
| ~ spl0_9
| spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f762,f538]) ).
fof(f766,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f781,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(superposition,[],[f756,f1]) ).
fof(f785,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f781]) ).
fof(f786,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f785,f445,f142,f132,f110,f91,f81,f321]) ).
fof(f787,plain,
( ! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c8 )
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f99,f446]) ).
fof(f804,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f85,f483]) ).
fof(f835,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f338,f483]) ).
fof(f849,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f804,f446]) ).
fof(f862,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f849,f483]) ).
fof(f893,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f862,f3]) ).
fof(f896,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f893]) ).
fof(f898,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f896,f322]) ).
fof(f901,plain,
( $false
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f898,f322]) ).
fof(f902,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f901]) ).
fof(f904,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != sk_c8 )
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f787,f483]) ).
fof(f906,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f904,f446]) ).
fof(f910,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f906,f3]) ).
fof(f913,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f910]) ).
fof(f915,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f913,f322]) ).
fof(f918,plain,
( $false
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f915,f322]) ).
fof(f919,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f921,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f754,f835]) ).
fof(f923,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f921,f446]) ).
fof(f927,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f923,f3]) ).
fof(f930,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f927]) ).
fof(f932,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f930,f322]) ).
fof(f935,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f932,f322]) ).
fof(f936,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f938,plain,
( ! [X0] :
( identity != inverse(X0)
| sk_c7 != multiply(X0,identity) )
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f787,f446]) ).
fof(f943,plain,
( sk_c8 = multiply(identity,sk_c7)
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f127,f318]) ).
fof(f947,plain,
( sk_c8 = sk_c7
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f943,f1]) ).
fof(f948,plain,
( identity = sk_c7
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f947,f446]) ).
fof(f991,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f938,f948]) ).
fof(f996,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(superposition,[],[f991,f3]) ).
fof(f1001,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f996]) ).
fof(f1003,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1001,f322]) ).
fof(f1006,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1003,f322]) ).
fof(f1007,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1006]) ).
fof(f1008,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f85,f948]) ).
fof(f1009,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1008,f446]) ).
fof(f1010,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1009,f948]) ).
fof(f1013,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(superposition,[],[f1010,f3]) ).
fof(f1018,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1013]) ).
fof(f1020,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1018,f322]) ).
fof(f1023,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1020,f322]) ).
fof(f1024,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1023]) ).
fof(f1026,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f754,f338]) ).
fof(f1029,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1026,f948]) ).
fof(f1032,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1029,f446]) ).
fof(f1037,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(superposition,[],[f1032,f3]) ).
fof(f1042,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1037]) ).
fof(f1044,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1042,f322]) ).
fof(f1047,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1044,f322]) ).
fof(f1048,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1047]) ).
fof(f1061,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_19 ),
inference(forward_demodulation,[],[f425,f338]) ).
fof(f1063,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f293,f115,f106,f91,f87,f321]) ).
fof(f1074,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_19 ),
inference(forward_demodulation,[],[f1061,f102]) ).
fof(f1082,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f1074,f338]) ).
fof(f1083,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1136,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f413,f446]) ).
fof(f1141,plain,
( identity = sk_c7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1136,f1]) ).
fof(f1183,plain,
( identity != multiply(sk_c7,sk_c6)
| spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f93,f446]) ).
fof(f1184,plain,
( sk_c7 != inverse(sk_c7)
| spl0_3
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f89,f476]) ).
fof(f1190,plain,
( identity != multiply(sk_c7,sk_c7)
| spl0_4
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1183,f476]) ).
fof(f1195,plain,
( identity != inverse(identity)
| spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f1184,f1141]) ).
fof(f1196,plain,
( identity != multiply(identity,identity)
| spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f1190,f1141]) ).
fof(f1197,plain,
( $false
| spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1196,f1]) ).
fof(f1198,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1199,plain,
( ~ spl0_18
| spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1195,f445,f162,f152,f101,f87,f321]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f104]) ).
cnf(s2,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f113]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f118]) ).
cnf(s4,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f123]) ).
cnf(s5,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s6,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f129]) ).
cnf(s7,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f130]) ).
cnf(s8,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s9,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s10,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s11,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s12,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s13,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s14,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s15,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s16,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s17,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s18,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s19,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s20,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f155]) ).
cnf(s21,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s22,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s24,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s25,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s26,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s27,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f166]) ).
cnf(s28,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f167]) ).
cnf(s30,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s31,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f170]) ).
cnf(s32,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f171]) ).
cnf(s33,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f172]) ).
cnf(s36,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f175]) ).
cnf(s37,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f176]) ).
cnf(s38,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f301]) ).
cnf(s40,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f325]) ).
cnf(s41,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f354]) ).
cnf(s44,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f394]) ).
cnf(s45,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_19 ),
inference(sat_conversion,[],[f426]) ).
cnf(s47,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f438]) ).
cnf(s49,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_23 ),
inference(sat_conversion,[],[f462]) ).
cnf(s55,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_23 ),
inference(sat_conversion,[],[f615]) ).
cnf(s58,plain,
( ~ spl0_9
| spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f704]) ).
cnf(s73,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f753]) ).
cnf(s74,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f766]) ).
cnf(s76,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f786]) ).
cnf(s80,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f902]) ).
cnf(s82,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f919]) ).
cnf(s84,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f936]) ).
cnf(s86,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s88,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s90,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f1048]) ).
cnf(s93,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f1063]) ).
cnf(s97,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_19 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s111,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s112,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s113,plain,
spl0_3,
inference(rat,[],[s112,s58,s55,s6,s12,s18,s24,s30,s36]) ).
cnf(s114,plain,
spl0_4,
inference(rat,[],[s55,s111,s7,s13,s19,s25,s31,s37]) ).
cnf(s115,plain,
spl0_7,
inference(rat,[],[s38,s32,s33,s113,s114]) ).
cnf(s116,plain,
spl0_19,
inference(rat,[],[s97,s114,s113,s115]) ).
cnf(s117,plain,
( ~ spl0_12
| ~ spl0_17
| ~ spl0_11
| ~ spl0_18
| ~ spl0_6 ),
inference(rat,[],[s49,s86]) ).
cnf(s118,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s74,s11,s17,s117,s40,s41,s113,s114]) ).
cnf(s119,plain,
( spl0_11
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s55,s82,s10,s16,s22,s28,s41,s114,s113]) ).
cnf(s120,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s55,s82,s9,s15,s21,s27,s118,s119,s41,s113,s114]) ).
cnf(s121,plain,
( ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s86,s40,s93,s49,s3,s4,s5,s120,s114,s113]) ).
cnf(s122,plain,
~ spl0_6,
inference(rat,[],[s55,s82,s44,s2,s8,s14,s20,s26,s121,s113,s114,s115]) ).
cnf(s123,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s47,s3,s9,s15]) ).
cnf(s124,plain,
( ~ spl0_10
| ~ spl0_5 ),
inference(rat,[],[s47,s2,s8,s14,s45,s116]) ).
cnf(s125,plain,
~ spl0_5,
inference(rat,[],[s124,s123]) ).
cnf(s126,plain,
( ~ spl0_11
| spl0_23
| ~ spl0_14
| ~ spl0_13
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s74,s49,s40,s113,s114]) ).
cnf(s127,plain,
( spl0_23
| ~ spl0_14
| ~ spl0_8
| ~ spl0_13
| ~ spl0_10
| ~ spl0_9 ),
inference(rat,[],[s55,s22,s28,s126]) ).
cnf(s128,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s127,s73,s41,s114,s113]) ).
cnf(s129,plain,
( spl0_14
| ~ spl0_10
| ~ spl0_18
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s88,s49,s40,s16,s17,s113,s114]) ).
cnf(s130,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s88,s49,s40,s10,s11,s128,s129,s41,s113,s114]) ).
cnf(s131,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s55,s80,s9,s15,s21,s27,s130,s41,s113,s114]) ).
cnf(s132,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s88,s93,s49,s40,s3,s4,s5,s131,s114,s113]) ).
cnf(s133,plain,
~ spl0_2,
inference(rat,[],[s55,s80,s44,s2,s8,s14,s20,s26,s132,s113,s114,s115]) ).
cnf(s134,plain,
spl0_1,
inference(rat,[],[s1,s122,s115,s114,s113,s125,s133]) ).
cnf(s135,plain,
( spl0_14
| spl0_23 ),
inference(rat,[],[s49,s16,s17]) ).
cnf(s136,plain,
( ~ spl0_14
| spl0_23
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(rat,[],[s49,s10,s11,s127]) ).
cnf(s137,plain,
( spl0_23
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s136,s135]) ).
cnf(s138,plain,
( spl0_13
| ~ spl0_23
| ~ spl0_10
| ~ spl0_18
| ~ spl0_8 ),
inference(rat,[],[s40,s90,s10,s11,s113,s114,s115,s134]) ).
cnf(s139,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s40,s90,s16,s17,s76,s138,s137,s41,s113,s114,s115,s134]) ).
cnf(s140,plain,
( ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s84,s55,s9,s15,s21,s27,s139,s41,s113,s114,s115,s134]) ).
cnf(s141,plain,
~ spl0_8,
inference(rat,[],[s90,s93,s49,s40,s3,s4,s5,s140,s113,s114,s115,s134]) ).
cnf(s142,plain,
spl0_16,
inference(rat,[],[s26,s141]) ).
cnf(s143,plain,
spl0_15,
inference(rat,[],[s20,s141]) ).
cnf(s144,plain,
spl0_14,
inference(rat,[],[s14,s141]) ).
cnf(s145,plain,
spl0_13,
inference(rat,[],[s8,s141]) ).
cnf(s146,plain,
spl0_9,
inference(rat,[],[s2,s141]) ).
cnf(s147,plain,
spl0_18,
inference(rat,[],[s44,s142,s115,s114,s113,s143]) ).
cnf(s148,plain,
spl0_23,
inference(rat,[],[s55,s146,s142,s144,s145,s143]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s84,s147,s134,s115,s114,s113,s142,s148,s143]) ).
fof(f1205,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP283-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:45:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46 % (709277)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (709285)dis+10_1_sil=32000:sp=arity:random_seed=2421660014:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (709283)% WARNING: option uhcvi not known.
% 0.17/0.46 % (709284)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1854544088:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (709282)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3733058164_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % (709283)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1498180946:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.46 % (709287)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3914845578:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46 % (709286)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3604615383:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (709288)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3286350746:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.46 % (709285) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-709277-709285"...
% 0.17/0.46 % TRYING [1]
% 0.17/0.46 % TRYING [2]
% 0.17/0.46 % TRYING [3]
% 0.17/0.46 % (709285)...printing done.
% 0.17/0.46 % (709285)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (709285)------------------------------
% 0.17/0.47 % (709285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (709285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (709285)CaDiCaL version: 2.1.3
% 0.17/0.47 % (709285)Termination reason: Refutation
% 0.17/0.47 % (709285)Time elapsed: 0.013 s
% 0.17/0.47 % (709285)Peak memory usage: 12 MB
% 0.17/0.47 % (709285)Instructions burned: 40 (million)
% 0.17/0.47 % (709277)Success in time 0.049 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------