%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP293-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:33 AM UTC 2026
% Result : Unsatisfiable 0.53s 0.97s
% Output : Refutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 53
% Syntax : Number of formulae : 361 ( 21 unt; 16 def)
% Number of atoms : 1336 ( 338 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1868 ( 893 ~; 959 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = 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_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = 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_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f33]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
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,sk_c6) != sk_c7
| multiply(X1,sk_c8) != sk_c6
| inverse(X1) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| inverse(X2) != sk_c7
| multiply(sk_c8,X3) != sk_c7
| multiply(X4,sk_c8) != X3
| 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,sk_c6)
| sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(sk_c8,X3)
| multiply(X4,sk_c8) != X3
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X2,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,sk_c6)
| sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f78]) ).
fof(f81,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f82,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_2
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f85,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_3
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f88,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl0_4
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f92,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,definition,
( spl0_5
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f96,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_5 ),
inference(avatar_component_clause,[],[f94]) ).
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,f94,f91,f87,f84,f81]) ).
fof(f106,definition,
( spl0_8
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f108,plain,
( sk_c8 = inverse(sk_c4)
| ~ 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_c5 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f117,plain,
( sk_c5 = multiply(sk_c4,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 = multiply(sk_c8,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f121,plain,
( sk_c7 != multiply(sk_c8,sk_c5)
| spl0_11 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ 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_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f127,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f70,f110,f125]) ).
fof(f130,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f131,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| spl0_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f68,f110,f130]) ).
fof(f134,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f66,f110,f87]) ).
fof(f136,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f138,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f64,f136,f106]) ).
fof(f140,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f62,f136,f115]) ).
fof(f141,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f60,f136,f120]) ).
fof(f142,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f58,f136,f125]) ).
fof(f143,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f56,f136,f130]) ).
fof(f144,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f54,f136,f87]) ).
fof(f145,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f52,f94,f106]) ).
fof(f146,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f50,f94,f115]) ).
fof(f147,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f48,f94,f120]) ).
fof(f148,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f46,f94,f125]) ).
fof(f149,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f94,f130]) ).
fof(f150,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f94,f87]) ).
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(f158,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f34,f152,f125]) ).
fof(f159,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f152,f130]) ).
fof(f160,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f152,f87]) ).
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(f168,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f22,f162,f125]) ).
fof(f169,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f162,f130]) ).
fof(f170,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f18,f162,f87]) ).
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(f173,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f12,f101,f120]) ).
fof(f174,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f10,f101,f125]) ).
fof(f175,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f101,f130]) ).
fof(f177,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f3,f108]) ).
fof(f178,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f3,f127]) ).
fof(f180,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f184,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f132]) ).
fof(f187,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f180,f1]) ).
fof(f189,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f177]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f193,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f190,f117]) ).
fof(f202,plain,
( sk_c8 = sk_c7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f193,f122]) ).
fof(f220,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f184,f202]) ).
fof(f223,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f220,f190]) ).
fof(f244,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(superposition,[],[f187,f127]) ).
fof(f258,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f187,f132]) ).
fof(f259,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_12 ),
inference(superposition,[],[f187,f178]) ).
fof(f261,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f187,f122]) ).
fof(f267,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f261,f202]) ).
fof(f269,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f259,f202]) ).
fof(f270,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f258,f127]) ).
fof(f279,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f244,f223]) ).
fof(f280,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f267,f3]) ).
fof(f281,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f270,f202]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f279,f202]) ).
fof(f293,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f187,f281]) ).
fof(f295,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f293,f3]) ).
fof(f312,plain,
( sk_c7 != sk_c6
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f96,f285]) ).
fof(f314,plain,
( sk_c7 = sk_c5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f122,f285]) ).
fof(f319,plain,
( sk_c8 = sk_c5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f314,f202]) ).
fof(f320,plain,
( sk_c8 != sk_c6
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f312,f202]) ).
fof(f347,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c5)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f269,f280]) ).
fof(f348,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f347,f319]) ).
fof(f349,plain,
( identity = sk_c3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f348,f3]) ).
fof(f350,plain,
( sk_c8 = sk_c3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f349,f295]) ).
fof(f353,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f178,f350]) ).
fof(f357,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f353,f88]) ).
fof(f360,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f357,f295]) ).
fof(f371,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f360,f320]) ).
fof(f372,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f373,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f95,f285]) ).
fof(f374,plain,
( sk_c7 != sk_c6
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f103,f285]) ).
fof(f375,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f373,f202]) ).
fof(f376,plain,
( sk_c8 != sk_c6
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f374,f202]) ).
fof(f380,plain,
( $false
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f376,f375]) ).
fof(f381,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f382,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f99,f202]) ).
fof(f385,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f382,f108]) ).
fof(f387,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f385]) ).
fof(f389,plain,
( sk_c8 != sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f387,f117]) ).
fof(f392,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f389,f319]) ).
fof(f393,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f394,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f82,f285]) ).
fof(f395,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c8) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f394,f202]) ).
fof(f396,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f395,f108]) ).
fof(f398,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f396]) ).
fof(f400,plain,
( sk_c8 != sk_c5
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f398,f117]) ).
fof(f403,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f400,f319]) ).
fof(f404,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f405,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c8)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f85,f202]) ).
fof(f406,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c8) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f405,f202]) ).
fof(f407,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f406,f108]) ).
fof(f409,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f407]) ).
fof(f411,plain,
( sk_c8 != sk_c5
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f409,f117]) ).
fof(f414,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f411,f319]) ).
fof(f415,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f416,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c8) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f92,f375]) ).
fof(f417,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f416,f108]) ).
fof(f419,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f417]) ).
fof(f421,plain,
( sk_c8 != sk_c5
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f419,f117]) ).
fof(f424,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f421,f319]) ).
fof(f425,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f445,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f187,f138]) ).
fof(f447,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f445,f112]) ).
fof(f458,plain,
( sk_c8 != sk_c7
| ~ spl0_8
| ~ spl0_10
| spl0_11 ),
inference(forward_demodulation,[],[f121,f193]) ).
fof(f462,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f95]) ).
fof(f466,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_16 ),
inference(superposition,[],[f187,f164]) ).
fof(f468,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f466,f154]) ).
fof(f491,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f447,f95]) ).
fof(f495,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f187,f447]) ).
fof(f497,plain,
( identity = sk_c6
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f495,f3]) ).
fof(f502,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f491,f458]) ).
fof(f503,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f506,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f89,f491]) ).
fof(f517,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f462,f491]) ).
fof(f518,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f468,f491]) ).
fof(f521,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f187,f518]) ).
fof(f523,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f521,f3]) ).
fof(f526,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f523,f497]) ).
fof(f530,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c8),multiply(sk_c8,X0))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f187,f517]) ).
fof(f533,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f530,f187]) ).
fof(f562,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f533,f526]) ).
fof(f652,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f259,f497]) ).
fof(f653,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f652,f526]) ).
fof(f654,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f653,f491]) ).
fof(f655,plain,
( identity = sk_c3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f654,f3]) ).
fof(f656,plain,
( sk_c6 = sk_c3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f655,f497]) ).
fof(f657,plain,
( sk_c8 = sk_c3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f656,f526]) ).
fof(f659,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f131,f657]) ).
fof(f662,plain,
( sk_c8 != sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f659,f102]) ).
fof(f665,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f662,f526]) ).
fof(f666,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f764,plain,
( sk_c8 != sk_c6
| spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f506,f518]) ).
fof(f765,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f764,f526]) ).
fof(f766,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f768,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c8) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f92,f526]) ).
fof(f774,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f768,f112]) ).
fof(f775,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f774]) ).
fof(f779,plain,
( sk_c8 != sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f775,f138]) ).
fof(f786,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f779,f526]) ).
fof(f787,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f793,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f99,f491]) ).
fof(f800,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f793,f112]) ).
fof(f801,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f800]) ).
fof(f805,plain,
( sk_c8 != sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f801,f138]) ).
fof(f812,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f805,f526]) ).
fof(f813,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f819,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c8)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f85,f491]) ).
fof(f820,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c8) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f819,f491]) ).
fof(f826,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f820,f112]) ).
fof(f827,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f826]) ).
fof(f831,plain,
( sk_c8 != sk_c6
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f827,f138]) ).
fof(f838,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f831,f526]) ).
fof(f839,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f845,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f82,f562]) ).
fof(f846,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c8) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f845,f491]) ).
fof(f851,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f846,f112]) ).
fof(f852,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f851]) ).
fof(f856,plain,
( sk_c8 != sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f852,f138]) ).
fof(f863,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f856,f526]) ).
fof(f864,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f863]) ).
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_9
| spl0_13 ),
inference(sat_conversion,[],[f133]) ).
cnf(s7,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f134]) ).
cnf(s8,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s9,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s10,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s11,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s12,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s13,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f144]) ).
cnf(s14,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f145]) ).
cnf(s15,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f146]) ).
cnf(s16,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f147]) ).
cnf(s17,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f148]) ).
cnf(s18,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f149]) ).
cnf(s19,plain,
( spl0_3
| spl0_5 ),
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(s23,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s24,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s25,plain,
( spl0_3
| 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(s29,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s30,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s31,plain,
( spl0_3
| 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(s34,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f173]) ).
cnf(s35,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f174]) ).
cnf(s36,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f175]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f372]) ).
cnf(s39,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f381]) ).
cnf(s41,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f393]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f404]) ).
cnf(s45,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f415]) ).
cnf(s47,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f425]) ).
cnf(s51,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_14 ),
inference(sat_conversion,[],[f503]) ).
cnf(s52,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f666]) ).
cnf(s53,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f766]) ).
cnf(s56,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f787]) ).
cnf(s61,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f813]) ).
cnf(s66,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f839]) ).
cnf(s71,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f864]) ).
cnf(s74,plain,
spl0_3,
inference(rat,[],[s53,s7,s13,s19,s25,s31]) ).
cnf(s75,plain,
( spl0_7
| ~ spl0_5 ),
inference(rat,[],[s39,s32,s33,s34,s35,s36]) ).
cnf(s76,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s52,s6,s12,s24,s30,s41,s75]) ).
cnf(s77,plain,
( spl0_12
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s61,s5,s11,s23,s29]) ).
cnf(s78,plain,
( ~ spl0_10
| ~ spl0_8
| ~ spl0_12
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s51,s4,s10,s76]) ).
cnf(s79,plain,
( spl0_10
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s61,s3,s9,s21,s27]) ).
cnf(s80,plain,
( ~ spl0_10
| ~ spl0_6
| ~ spl0_12
| ~ spl0_5 ),
inference(rat,[],[s61,s2,s8,s20,s26,s78]) ).
cnf(s81,plain,
( ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s80,s79,s77]) ).
cnf(s82,plain,
( ~ spl0_7
| ~ spl0_5
| spl0_1
| spl0_2
| spl0_4 ),
inference(rat,[],[s81,s1,s74]) ).
cnf(s83,plain,
( ~ spl0_5
| spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s82,s75]) ).
cnf(s84,plain,
spl0_5,
inference(rat,[],[s38,s14,s15,s16,s17,s18,s74]) ).
cnf(s85,plain,
spl0_7,
inference(rat,[],[s75,s84]) ).
cnf(s87,plain,
( ~ spl0_14
| ~ spl0_9
| ~ spl0_8
| ~ spl0_12
| ~ spl0_10
| ~ spl0_4 ),
inference(rat,[],[s52,s24,s30,s47,s51,s84,s85]) ).
cnf(s88,plain,
( spl0_14
| ~ spl0_8
| ~ spl0_12
| ~ spl0_10
| ~ spl0_4 ),
inference(rat,[],[s47,s10,s12,s84]) ).
cnf(s89,plain,
( ~ spl0_14
| ~ spl0_8
| ~ spl0_4
| ~ spl0_12
| ~ spl0_10 ),
inference(rat,[],[s47,s4,s6,s87,s84]) ).
cnf(s90,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_4
| ~ spl0_10 ),
inference(rat,[],[s89,s88]) ).
cnf(s91,plain,
( spl0_8
| ~ spl0_4 ),
inference(rat,[],[s56,s2,s8,s20,s26,s84]) ).
cnf(s92,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s56,s5,s11,s23,s29,s84]) ).
cnf(s93,plain,
( ~ spl0_12
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s56,s3,s9,s21,s27,s90,s84]) ).
cnf(s94,plain,
~ spl0_4,
inference(rat,[],[s93,s92,s91]) ).
cnf(s95,plain,
( ~ spl0_9
| ~ spl0_14
| ~ spl0_8
| ~ spl0_12
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s52,s24,s30,s45,s51,s84,s85]) ).
cnf(s96,plain,
( spl0_9
| ~ spl0_8
| ~ spl0_12
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s45,s4,s6]) ).
cnf(s97,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_2
| ~ spl0_12
| ~ spl0_10 ),
inference(rat,[],[s45,s10,s12,s95]) ).
cnf(s98,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_2
| ~ spl0_10 ),
inference(rat,[],[s97,s96]) ).
cnf(s99,plain,
( spl0_8
| ~ spl0_2 ),
inference(rat,[],[s66,s2,s8,s20,s26,s84]) ).
cnf(s100,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s66,s5,s11,s23,s29,s84]) ).
cnf(s101,plain,
( ~ spl0_12
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s66,s3,s9,s21,s27,s98,s84]) ).
cnf(s102,plain,
~ spl0_2,
inference(rat,[],[s101,s100,s99]) ).
cnf(s103,plain,
spl0_1,
inference(rat,[],[s83,s94,s84,s102]) ).
cnf(s104,plain,
( ~ spl0_14
| ~ spl0_9
| ~ spl0_8
| ~ spl0_12
| ~ spl0_10 ),
inference(rat,[],[s52,s24,s30,s43,s51,s84,s85,s103]) ).
cnf(s105,plain,
( spl0_14
| ~ spl0_8
| ~ spl0_12
| ~ spl0_10 ),
inference(rat,[],[s43,s10,s12,s103]) ).
cnf(s106,plain,
( ~ spl0_14
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(rat,[],[s43,s4,s6,s104,s103]) ).
cnf(s107,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_10 ),
inference(rat,[],[s106,s105]) ).
cnf(s108,plain,
spl0_8,
inference(rat,[],[s71,s2,s8,s20,s26,s84,s103]) ).
cnf(s109,plain,
spl0_12,
inference(rat,[],[s71,s5,s11,s23,s29,s84,s103]) ).
cnf(s110,plain,
~ spl0_10,
inference(rat,[],[s107,s108,s109]) ).
cnf(s111,plain,
spl0_16,
inference(rat,[],[s27,s110]) ).
cnf(s112,plain,
spl0_15,
inference(rat,[],[s21,s110]) ).
cnf(s113,plain,
spl0_14,
inference(rat,[],[s9,s110]) ).
cnf(s114,plain,
spl0_9,
inference(rat,[],[s3,s110]) ).
cnf(s115,plain,
$false,
inference(rat,[],[s71,s114,s103,s84,s113,s112,s111]) ).
fof(f870,plain,
$false,
inference(avatar_sat_refutation,[],[s115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP293-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.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 09:50:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.97 % (2382149)Input is clausal, will run a generic CNF schedule.
% 0.53/0.97 % (2382154)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1605916453:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.53/0.97 % (2382157)lrs+10_1_sil=8000:sp=occurrence:random_seed=1123067297:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.53/0.97 % (2382155)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2978370890:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.53/0.97 % (2382158)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=501764356:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.53/0.97 % (2382159)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3642610922:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.53/0.97 % (2382156)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2856960696:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.53/0.97 % (2382160)dis-21_1_sil=8000:lcm=predicate:random_seed=1779216535:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.53/0.97 % (2382160)Refutation not found, incomplete strategy
% 0.53/0.97 % (2382160)------------------------------
% 0.53/0.97 % (2382160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.53/0.97 % (2382160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.97 % (2382160)CaDiCaL version: 2.1.3
% 0.53/0.97 % (2382160)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.97 % (2382160)Time elapsed: 0.002 s
% 0.53/0.97 % (2382160)Peak memory usage: 88 MB
% 0.53/0.97 % (2382160)Instructions burned: 2 (million)
% 0.53/0.97 % (2382157)Refutation not found, incomplete strategy
% 0.53/0.97 % (2382157)------------------------------
% 0.53/0.97 % (2382157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.53/0.97 % (2382157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.97 % (2382157)CaDiCaL version: 2.1.3
% 0.53/0.97 % (2382157)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.97 % (2382157)Time elapsed: 0.005 s
% 0.53/0.97 % (2382157)Peak memory usage: 88 MB
% 0.53/0.97 % (2382157)Instructions burned: 7 (million)
% 0.53/0.97 % (2382159)First to succeed.
% 0.53/0.97 % (2382159)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2382149"
% 0.53/0.97 % (2382158)Instruction limit reached!
% 0.53/0.97 % (2382158)------------------------------
% 0.53/0.97 % (2382158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.53/0.97 % (2382158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.97 % (2382158)CaDiCaL version: 2.1.3
% 0.53/0.97 % (2382158)Termination reason: Instruction limit
% 0.53/0.97 % (2382158)Termination phase: Saturation
% 0.53/0.97 % (2382158)Time elapsed: 0.066 s
% 0.53/0.97 % (2382158)Peak memory usage: 89 MB
% 0.53/0.97 % (2382158)Instructions burned: 115 (million)
% 0.53/0.97 % (2382168)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4158439183:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.53/0.97 % (2382168)Refutation not found, incomplete strategy
% 0.53/0.97 % (2382168)------------------------------
% 0.53/0.97 % (2382168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.53/0.97 % (2382168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.97 % (2382168)CaDiCaL version: 2.1.3
% 0.53/0.97 % (2382168)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.97 % (2382168)Time elapsed: 0.005 s
% 0.53/0.97 % (2382168)Peak memory usage: 88 MB
% 0.53/0.97 % (2382168)Instructions burned: 7 (million)
% 0.53/0.97 % (2382159)Refutation found. Thanks to Tanya!
% 0.53/0.97 % SZS status Unsatisfiable for theBenchmark
% 0.53/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.97/1.16 % (2382159)------------------------------
% 2.97/1.16 % (2382159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.16 % (2382159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.16 % (2382159)CaDiCaL version: 2.1.3
% 2.97/1.16 % (2382159)Termination reason: Refutation
% 2.97/1.16 % (2382159)Time elapsed: 0.018 s
% 2.97/1.16 % (2382159)Peak memory usage: 90 MB
% 2.97/1.16 % (2382159)Instructions burned: 29 (million)
% 2.97/1.16 % (2382159)------------------------------
% 2.97/1.16 % (2382159)------------------------------
% 2.97/1.16 % (2382149)Success in time 0.367 s
% 2.97/1.16 % Vampire exiting
%------------------------------------------------------------------------------