%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP346-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 10:13:42 AM UTC 2026
% Result : Unsatisfiable 2.91s 1.32s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 56
% Syntax : Number of formulae : 365 ( 22 unt; 19 def)
% Number of atoms : 1229 ( 331 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1616 ( 752 ~; 845 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f27]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c7
| inverse(X1) != sk_c6
| multiply(X1,sk_c5) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(sk_c7) != sk_c5
| multiply(X2,sk_c6) != sk_c7
| inverse(X2) != sk_c6
| multiply(X3,sk_c7) != sk_c5
| inverse(X3) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6)
| sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != inverse(sk_c7)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2)
| sk_c5 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ),
inference(reorient_equations,[],[f75]) ).
fof(f78,definition,
( spl0_1
<=> ! [X3] :
( sk_c5 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f79,plain,
( ! [X3] :
( sk_c5 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f82,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_3
<=> sk_c5 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f85,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( sk_c5 != inverse(sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl0_4
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f89,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl0_5
<=> sk_c7 = multiply(sk_c6,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f93,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
( sk_c7 != multiply(sk_c6,sk_c5)
| spl0_5 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl0_6
<=> ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f97,plain,
( ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,definition,
( spl0_7
<=> ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f100,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,definition,
( spl0_8
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f103,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_8 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f76,f102,f99,f96,f92,f88,f84,f81,f78]) ).
fof(f107,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f109,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f111,definition,
( spl0_10
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f113,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f74,f111,f107]) ).
fof(f116,definition,
( spl0_11
<=> sk_c5 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f118,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
( spl0_11
| spl0_10 ),
inference(avatar_split_clause,[],[f72,f111,f116]) ).
fof(f121,definition,
( spl0_12
<=> sk_c6 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f123,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f70,f111,f121]) ).
fof(f126,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f128,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( spl0_13
| spl0_10 ),
inference(avatar_split_clause,[],[f68,f111,f126]) ).
fof(f130,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f66,f111,f84]) ).
fof(f131,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f64,f111,f88]) ).
fof(f132,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f62,f111,f92]) ).
fof(f134,definition,
( spl0_14
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f136,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f60,f134,f107]) ).
fof(f138,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f58,f134,f116]) ).
fof(f139,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f56,f134,f121]) ).
fof(f140,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f54,f134,f126]) ).
fof(f141,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f52,f134,f84]) ).
fof(f142,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f50,f134,f88]) ).
fof(f143,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f48,f134,f92]) ).
fof(f145,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f147,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f46,f145,f107]) ).
fof(f149,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f44,f145,f116]) ).
fof(f150,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f42,f145,f121]) ).
fof(f151,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f40,f145,f126]) ).
fof(f152,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f38,f145,f84]) ).
fof(f153,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f145,f88]) ).
fof(f154,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f34,f145,f92]) ).
fof(f156,definition,
( spl0_16
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f158,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f161,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f28,f156,f121]) ).
fof(f162,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f26,f156,f126]) ).
fof(f163,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f24,f156,f84]) ).
fof(f164,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f22,f156,f88]) ).
fof(f165,plain,
( spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f156,f92]) ).
fof(f166,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f18,f102,f107]) ).
fof(f167,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f16,f102,f116]) ).
fof(f168,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f14,f102,f121]) ).
fof(f169,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f12,f102,f126]) ).
fof(f170,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f102,f84]) ).
fof(f171,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f8,f102,f88]) ).
fof(f172,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f6,f102,f92]) ).
fof(f173,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f3,f85]) ).
fof(f177,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f179,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f128]) ).
fof(f181,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f173]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f89]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f93]) ).
fof(f184,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f181,f1]) ).
fof(f186,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f177,f1]) ).
fof(f192,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f184,f89]) ).
fof(f196,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f179,f93]) ).
fof(f200,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f196,f89]) ).
fof(f210,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c6,sk_c6)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f182,f192]) ).
fof(f216,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f210,f89]) ).
fof(f225,plain,
( multiply(sk_c6,identity) = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f183,f173]) ).
fof(f248,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f186,f128]) ).
fof(f249,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f186,f192]) ).
fof(f251,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_11 ),
inference(superposition,[],[f186,f118]) ).
fof(f255,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f186,f93]) ).
fof(f263,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f251,f109]) ).
fof(f265,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f249,f3]) ).
fof(f266,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f248,f123]) ).
fof(f273,plain,
( sk_c6 = sk_c7
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f263,f89]) ).
fof(f283,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| ~ spl0_4
| spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f104,f273]) ).
fof(f292,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f266,f273]) ).
fof(f309,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f255,f273]) ).
fof(f310,plain,
( identity = sk_c5
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f309,f3]) ).
fof(f311,plain,
( sk_c6 = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f310,f265]) ).
fof(f312,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f311,f273]) ).
fof(f477,plain,
( sk_c7 != sk_c5
| ~ spl0_4
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f283,f292]) ).
fof(f478,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f477,f312]) ).
fof(f479,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f480,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f97,f273]) ).
fof(f481,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f103,f312]) ).
fof(f482,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f480,f312]) ).
fof(f483,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f481,f273]) ).
fof(f484,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c7) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f482,f273]) ).
fof(f488,plain,
( sk_c6 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f484,f123]) ).
fof(f491,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f488,f273]) ).
fof(f496,plain,
( sk_c6 != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f491,f200]) ).
fof(f501,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f496,f273]) ).
fof(f502,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f504,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f225,f265]) ).
fof(f505,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f504,f216]) ).
fof(f513,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_14 ),
inference(superposition,[],[f3,f136]) ).
fof(f520,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f158]) ).
fof(f526,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f186,f103]) ).
fof(f527,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f103]) ).
fof(f534,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f186,f113]) ).
fof(f536,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f534,f136]) ).
fof(f537,plain,
( sk_c6 = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f536,f216]) ).
fof(f557,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_15 ),
inference(superposition,[],[f186,f147]) ).
fof(f558,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f147]) ).
fof(f559,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f557,f158]) ).
fof(f564,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f97,f136]) ).
fof(f565,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f564]) ).
fof(f567,plain,
( $false
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f565,f113]) ).
fof(f568,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f574,definition,
( spl0_18
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f575,plain,
( sk_c6 = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f576,plain,
( sk_c6 != sk_c7
| spl0_18 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f584,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_14 ),
inference(superposition,[],[f186,f513]) ).
fof(f588,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_16 ),
inference(superposition,[],[f186,f520]) ).
fof(f592,plain,
( sk_c6 = sk_c5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f266,f103]) ).
fof(f595,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f186,f266]) ).
fof(f597,plain,
( identity = sk_c7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f595,f3]) ).
fof(f610,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f173,f592]) ).
fof(f614,plain,
( identity = sk_c5
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f610,f103]) ).
fof(f615,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f614,f592]) ).
fof(f619,plain,
( multiply(sk_c1,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f558,f266]) ).
fof(f630,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f619,f147]) ).
fof(f656,plain,
( sk_c6 = sk_c7
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f615,f597]) ).
fof(f657,plain,
( spl0_18
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f656,f126,f121,f102,f84,f574]) ).
fof(f759,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f527,f559]) ).
fof(f764,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f759,f536]) ).
fof(f809,plain,
( identity = sk_c5
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f764,f173]) ).
fof(f813,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f186,f764]) ).
fof(f816,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f813,f3]) ).
fof(f835,plain,
( sk_c2 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f584,f809]) ).
fof(f836,plain,
( sk_c7 = sk_c2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f835,f526]) ).
fof(f840,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f113,f836]) ).
fof(f851,plain,
( spl0_4
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f840,f156,f145,f134,f111,f102,f84,f88]) ).
fof(f863,plain,
( sk_c7 != multiply(sk_c7,sk_c5)
| spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f94,f575]) ).
fof(f871,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f536,f575]) ).
fof(f874,plain,
( sk_c6 = sk_c5
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f871,f559]) ).
fof(f878,plain,
( sk_c6 != sk_c7
| ~ spl0_4
| spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f863,f89]) ).
fof(f879,plain,
( sk_c7 = sk_c5
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f874,f575]) ).
fof(f882,plain,
( $false
| ~ spl0_4
| spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f878,f575]) ).
fof(f883,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f896,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c7) )
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f100,f575]) ).
fof(f910,plain,
( sk_c7 != sk_c5
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f896,f85]) ).
fof(f912,plain,
( sk_c6 != sk_c7
| sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f896,f136]) ).
fof(f914,plain,
( sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f912,f575]) ).
fof(f916,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f914,f836]) ).
fof(f918,plain,
( sk_c6 != sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f916,f559]) ).
fof(f919,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f918,f575]) ).
fof(f920,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f919]) ).
fof(f956,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c6 != inverse(X2) )
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[],[f82,f575]) ).
fof(f957,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[],[f956,f575]) ).
fof(f959,plain,
( sk_c7 != sk_c5
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f957,f85]) ).
fof(f986,plain,
( sk_c7 = sk_c5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f592,f575]) ).
fof(f997,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f505,f575]) ).
fof(f998,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f537,f575]) ).
fof(f1000,definition,
( spl0_20
<=> sk_c7 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f1004,definition,
( spl0_21
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f1005,plain,
( sk_c7 = sk_c5
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1007,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_2
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f959,f574,f84,f81,f1004,f1000]) ).
fof(f1013,plain,
( spl0_21
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f986,f574,f126,f121,f102,f1004]) ).
fof(f1016,plain,
( spl0_20
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f997,f574,f92,f88,f84,f1000]) ).
fof(f1017,plain,
( spl0_21
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f998,f574,f134,f111,f88,f84,f1004]) ).
fof(f1041,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f118,f1005]) ).
fof(f1051,plain,
( spl0_20
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f483,f116,f107,f102,f92,f88,f84,f1000]) ).
fof(f1062,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f79,f1005]) ).
fof(f1064,plain,
( sk_c7 != sk_c5
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f1062,f85]) ).
fof(f1066,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_21 ),
inference(superposition,[],[f1062,f109]) ).
fof(f1070,plain,
( sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1066]) ).
fof(f1073,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1070,f1041]) ).
fof(f1074,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
fof(f1076,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1064,f1005]) ).
fof(f1078,plain,
( ~ spl0_20
| ~ spl0_1
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1076,f1004,f84,f78,f1000]) ).
fof(f1081,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f910,f1005]) ).
fof(f1082,plain,
( ~ spl0_20
| ~ spl0_3
| ~ spl0_7
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1081,f1004,f574,f99,f84,f1000]) ).
fof(f1083,plain,
( sk_c7 != inverse(sk_c7)
| spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f86,f1005]) ).
fof(f1088,plain,
( spl0_20
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f630,f145,f126,f121,f1000]) ).
fof(f1166,plain,
( spl0_21
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f879,f574,f156,f145,f134,f111,f1004]) ).
fof(f1254,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f513,f575]) ).
fof(f1261,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1254,f816]) ).
fof(f1370,plain,
( sk_c2 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f186,f1261]) ).
fof(f1372,plain,
( identity = sk_c2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1370,f3]) ).
fof(f1374,plain,
( sk_c7 = sk_c2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1372,f816]) ).
fof(f1406,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f136,f1374]) ).
fof(f1412,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1406,f575]) ).
fof(f1414,plain,
( $false
| spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1412,f1083]) ).
fof(f1415,plain,
( spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1414]) ).
fof(f1428,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f588,f816]) ).
fof(f1429,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1428,f3]) ).
fof(f1430,plain,
( sk_c7 = sk_c1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1429,f816]) ).
fof(f1433,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f520,f1430]) ).
fof(f1439,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1433,f559]) ).
fof(f1440,plain,
( sk_c6 = sk_c7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1439,f816]) ).
fof(f1441,plain,
( $false
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1440,f576]) ).
fof(f1442,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f1441]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f105]) ).
cnf(s2,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f114]) ).
cnf(s3,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s4,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s5,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s6,plain,
( spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f130]) ).
cnf(s7,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f131]) ).
cnf(s8,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f132]) ).
cnf(s9,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s10,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s11,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s12,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s13,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s14,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s15,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s16,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s17,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s18,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f150]) ).
cnf(s19,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f151]) ).
cnf(s20,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f152]) ).
cnf(s21,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f153]) ).
cnf(s22,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f154]) ).
cnf(s25,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f161]) ).
cnf(s26,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f162]) ).
cnf(s27,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f163]) ).
cnf(s28,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f164]) ).
cnf(s29,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s30,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f166]) ).
cnf(s31,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f167]) ).
cnf(s32,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f168]) ).
cnf(s33,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f169]) ).
cnf(s34,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f170]) ).
cnf(s35,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f171]) ).
cnf(s36,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f172]) ).
cnf(s37,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f479]) ).
cnf(s41,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f502]) ).
cnf(s43,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f568]) ).
cnf(s46,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f657]) ).
cnf(s51,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f851]) ).
cnf(s53,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_18 ),
inference(sat_conversion,[],[f883]) ).
cnf(s54,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f920]) ).
cnf(s59,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s65,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f1013]) ).
cnf(s67,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s68,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_14
| ~ spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f1017]) ).
cnf(s73,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s75,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| ~ spl0_21 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s77,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s78,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s79,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s91,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s130,plain,
( spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(sat_conversion,[],[f1415]) ).
cnf(s134,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f1442]) ).
cnf(s135,plain,
spl0_3,
inference(rat,[],[s130,s91,s134,s6,s13,s20,s27,s34]) ).
cnf(s136,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s134,s8,s15,s22,s29,s36,s53]) ).
cnf(s137,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_8
| ~ spl0_10
| ~ spl0_7 ),
inference(rat,[],[s134,s54,s135]) ).
cnf(s138,plain,
( ~ spl0_15
| ~ spl0_7
| ~ spl0_14
| ~ spl0_8
| ~ spl0_10 ),
inference(rat,[],[s78,s65,s79,s46,s25,s26,s137,s135]) ).
cnf(s139,plain,
( ~ spl0_14
| ~ spl0_10
| ~ spl0_8
| ~ spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s78,s65,s73,s46,s16,s17,s18,s19,s138,s1,s43,s136,s135]) ).
cnf(s140,plain,
( spl0_14
| ~ spl0_8
| ~ spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s78,s65,s1,s73,s46,s41,s9,s10,s11,s12,s136,s135]) ).
cnf(s141,plain,
( ~ spl0_8
| ~ spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s78,s65,s1,s73,s46,s41,s2,s3,s4,s5,s139,s140,s136,s135]) ).
cnf(s142,plain,
( ~ spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s37,s30,s31,s32,s33,s141,s136,s135]) ).
cnf(s143,plain,
spl0_4,
inference(rat,[],[s51,s7,s14,s21,s28,s35,s135]) ).
cnf(s144,plain,
spl0_5,
inference(rat,[],[s136,s143]) ).
cnf(s145,plain,
( spl0_12
| spl0_18
| ~ spl0_14
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s134,s18,s25]) ).
cnf(s146,plain,
( spl0_18
| ~ spl0_14
| ~ spl0_8
| ~ spl0_10 ),
inference(rat,[],[s134,s19,s26,s46,s145,s135]) ).
cnf(s147,plain,
( ~ spl0_14
| ~ spl0_10
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s59,s68,s67,s146,s135,s143,s144]) ).
cnf(s148,plain,
( spl0_14
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s59,s73,s65,s46,s9,s10,s11,s12,s135,s143,s144]) ).
cnf(s149,plain,
( ~ spl0_14
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s59,s73,s65,s46,s2,s3,s4,s5,s147,s144,s143,s135]) ).
cnf(s150,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s149,s148]) ).
cnf(s151,plain,
spl0_8,
inference(rat,[],[s37,s30,s31,s32,s33,s135,s143,s144]) ).
cnf(s152,plain,
~ spl0_2,
inference(rat,[],[s150,s151]) ).
cnf(s153,plain,
spl0_1,
inference(rat,[],[s142,s143,s152]) ).
cnf(s154,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(rat,[],[s77,s68,s67,s146,s151,s144,s143,s153,s135]) ).
cnf(s155,plain,
spl0_10,
inference(rat,[],[s75,s65,s46,s2,s3,s4,s5,s153,s151,s135]) ).
cnf(s156,plain,
~ spl0_14,
inference(rat,[],[s154,s155]) ).
cnf(s157,plain,
spl0_13,
inference(rat,[],[s12,s156]) ).
cnf(s158,plain,
spl0_12,
inference(rat,[],[s11,s156]) ).
cnf(s159,plain,
spl0_11,
inference(rat,[],[s10,s156]) ).
cnf(s160,plain,
spl0_9,
inference(rat,[],[s9,s156]) ).
cnf(s162,plain,
spl0_18,
inference(rat,[],[s46,s151,s157,s135,s158]) ).
cnf(s163,plain,
spl0_21,
inference(rat,[],[s65,s162,s151,s157,s158]) ).
cnf(s165,plain,
$false,
inference(rat,[],[s75,s153,s159,s160,s163]) ).
fof(f1443,plain,
$false,
inference(avatar_sat_refutation,[],[s165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP346-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:55:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.32 % (2161872)Input is clausal, will run a generic CNF schedule.
% 2.91/1.32 % (2161877)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=2852119735:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.91/1.32 % (2161881)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=528649266:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.91/1.32 % (2161878)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2105880042:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.91/1.32 % (2161883)dis-21_1_sil=8000:lcm=predicate:random_seed=1770624640: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)
% 2.91/1.32 % (2161880)lrs+10_1_sil=8000:sp=occurrence:random_seed=3383258071:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.91/1.32 % (2161879)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1430097152:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.91/1.32 % (2161882)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2662956919:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.91/1.32 % (2161883)Refutation not found, incomplete strategy
% 2.91/1.32 % (2161883)------------------------------
% 2.91/1.32 % (2161883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.32 % (2161883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.32 % (2161883)CaDiCaL version: 2.1.3
% 2.91/1.32 % (2161883)Termination reason: Refutation not found, incomplete strategy
% 2.91/1.32 % (2161883)Time elapsed: 0.002 s
% 2.91/1.32 % (2161883)Peak memory usage: 88 MB
% 2.91/1.32 % (2161883)Instructions burned: 1 (million)
% 2.91/1.32 % (2161880)Refutation not found, incomplete strategy
% 2.91/1.32 % (2161880)------------------------------
% 2.91/1.32 % (2161880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.32 % (2161880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.32 % (2161880)CaDiCaL version: 2.1.3
% 2.91/1.32 % (2161880)Termination reason: Refutation not found, incomplete strategy
% 2.91/1.32 % (2161880)Time elapsed: 0.004 s
% 2.91/1.32 % (2161880)Peak memory usage: 88 MB
% 2.91/1.32 % (2161880)Instructions burned: 4 (million)
% 2.91/1.32 % (2161882)First to succeed.
% 2.91/1.32 % (2161882)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2161872"
% 2.91/1.32 % (2161881)Instruction limit reached!
% 2.91/1.32 % (2161881)------------------------------
% 2.91/1.32 % (2161881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.32 % (2161881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.32 % (2161881)CaDiCaL version: 2.1.3
% 2.91/1.32 % (2161881)Termination reason: Instruction limit
% 2.91/1.32 % (2161881)Termination phase: Saturation
% 2.91/1.32 % (2161881)Time elapsed: 0.066 s
% 2.91/1.32 % (2161881)Peak memory usage: 89 MB
% 2.91/1.32 % (2161881)Instructions burned: 114 (million)
% 2.91/1.32 % (2161880)------------------------------
% 2.91/1.32 % (2161880)------------------------------
% 2.91/1.32 % (2161891)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=2573662878:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.91/1.32 % (2161883)------------------------------
% 2.91/1.32 % (2161883)------------------------------
% 2.91/1.32 % (2161891)Refutation not found, incomplete strategy
% 2.91/1.32 % (2161891)------------------------------
% 2.91/1.32 % (2161891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.32 % (2161891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.32 % (2161891)CaDiCaL version: 2.1.3
% 2.91/1.32 % (2161891)Termination reason: Refutation not found, incomplete strategy
% 2.91/1.32 % (2161891)Time elapsed: 0.004 s
% 2.91/1.32 % (2161891)Peak memory usage: 88 MB
% 2.91/1.32 % (2161891)Instructions burned: 4 (million)
% 2.91/1.32 % (2161882)Refutation found. Thanks to Tanya!
% 2.91/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.91/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.80/1.41 % (2161882)------------------------------
% 3.80/1.41 % (2161882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.41 % (2161882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.41 % (2161882)CaDiCaL version: 2.1.3
% 3.80/1.41 % (2161882)Termination reason: Refutation
% 3.80/1.41 % (2161882)Time elapsed: 0.032 s
% 3.80/1.41 % (2161882)Peak memory usage: 89 MB
% 3.80/1.41 % (2161882)Instructions burned: 50 (million)
% 3.80/1.41 % (2161882)------------------------------
% 3.80/1.41 % (2161882)------------------------------
% 3.80/1.41 % (2161872)Success in time 0.462 s
% 3.80/1.41 % Vampire exiting
%------------------------------------------------------------------------------