%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP266-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:20 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 58
% Syntax : Number of formulae : 294 ( 17 unt; 21 def)
% Number of atoms : 794 ( 306 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 887 ( 387 ~; 479 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f7]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f21]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c11 = inverse(sk_c1)
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c11 = inverse(sk_c1)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c9 = inverse(sk_c2)
| sk_c10 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = inverse(sk_c2)
| sk_c10 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f59]) ).
fof(f69,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f77]) ).
fof(f83,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f86,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f88,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f92,plain,
( sk_c10 = inverse(sk_c3)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f91]) ).
fof(f97,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f98,plain,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f100,plain,
( sk_c10 = inverse(sk_c3)
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
( sk_c10 = inverse(sk_c3)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c9
| multiply(sk_c10,X2) != sk_c9
| multiply(X3,sk_c10) != X2
| inverse(X3) != sk_c10
| multiply(X4,sk_c11) != sk_c10
| inverse(X4) != sk_c11
| multiply(X5,sk_c9) != sk_c10
| inverse(X5) != sk_c9
| multiply(sk_c9,X6) != sk_c10
| multiply(X7,sk_c9) != X6
| inverse(X7) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c9 != multiply(sk_c10,X2)
| multiply(X3,sk_c10) != X2
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5)
| sk_c10 != multiply(sk_c9,X6)
| multiply(X7,sk_c9) != X6
| sk_c9 != inverse(X7) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
! [X3,X0,X1,X6,X7,X4,X5] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5)
| sk_c10 != multiply(sk_c9,X6)
| multiply(X7,sk_c9) != X6
| sk_c9 != inverse(X7) ),
inference(equality_resolution,[],[f104]) ).
fof(f106,plain,
! [X3,X0,X1,X7,X4,X5] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5)
| sk_c10 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != inverse(X7) ),
inference(equality_resolution,[],[f105]) ).
fof(f108,definition,
( spl0_1
<=> ! [X7] :
( sk_c10 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != inverse(X7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f109,plain,
( ! [X7] :
( sk_c10 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c9 != inverse(X7) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,definition,
( spl0_2
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f112,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,definition,
( spl0_3
<=> ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f115,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,definition,
( spl0_4
<=> ! [X3] :
( sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f118,plain,
( ! [X3] :
( sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c10 != inverse(X3) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f106,f114,f111,f117,f114,f111,f108]) ).
fof(f121,definition,
( spl0_5
<=> sk_c9 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f123,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_6
<=> sk_c10 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f127,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f102,f125,f121]) ).
fof(f130,definition,
( spl0_7
<=> sk_c8 = multiply(sk_c7,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f132,plain,
( sk_c8 = multiply(sk_c7,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f100,f125,f130]) ).
fof(f135,definition,
( spl0_8
<=> sk_c10 = multiply(sk_c9,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f137,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f98,f125,f135]) ).
fof(f140,definition,
( spl0_9
<=> sk_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f145,definition,
( spl0_10
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f147,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f150,definition,
( spl0_11
<=> sk_c11 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f152,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f92,f125,f150]) ).
fof(f155,definition,
( spl0_12
<=> sk_c10 = multiply(sk_c5,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f157,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f90,f125,f155]) ).
fof(f160,definition,
( spl0_13
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f162,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f163,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f88,f160,f121]) ).
fof(f164,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f86,f160,f130]) ).
fof(f165,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f84,f160,f135]) ).
fof(f168,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f78,f160,f150]) ).
fof(f169,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f76,f160,f155]) ).
fof(f171,definition,
( spl0_14
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f172,plain,
( sk_c9 != multiply(sk_c10,sk_c4)
| spl0_14 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f173,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f174,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f74,f171,f121]) ).
fof(f175,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f72,f171,f130]) ).
fof(f176,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f70,f171,f135]) ).
fof(f182,definition,
( spl0_15
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f184,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f185,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f60,f182,f121]) ).
fof(f186,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f58,f182,f130]) ).
fof(f187,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f56,f182,f135]) ).
fof(f188,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f54,f182,f140]) ).
fof(f189,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f52,f182,f145]) ).
fof(f193,definition,
( spl0_16
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f195,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f196,plain,
( spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f46,f193,f121]) ).
fof(f197,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f44,f193,f130]) ).
fof(f198,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f42,f193,f135]) ).
fof(f199,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f40,f193,f140]) ).
fof(f200,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f38,f193,f145]) ).
fof(f204,definition,
( spl0_17
<=> sk_c11 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f206,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,plain,
( spl0_5
| spl0_17 ),
inference(avatar_split_clause,[],[f32,f204,f121]) ).
fof(f208,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f30,f204,f130]) ).
fof(f209,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f28,f204,f135]) ).
fof(f212,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f22,f204,f150]) ).
fof(f213,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f20,f204,f155]) ).
fof(f215,definition,
( spl0_18
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f217,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,plain,
( spl0_5
| spl0_18 ),
inference(avatar_split_clause,[],[f18,f215,f121]) ).
fof(f219,plain,
( spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f16,f215,f130]) ).
fof(f220,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f14,f215,f135]) ).
fof(f223,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f8,f215,f150]) ).
fof(f224,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f6,f215,f155]) ).
fof(f225,plain,
( sk_c10 != sk_c10
| sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f112,f147]) ).
fof(f227,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f225]) ).
fof(f231,plain,
( ~ spl0_9
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f227,f145,f111,f140]) ).
fof(f232,plain,
( sk_c10 != sk_c10
| sk_c9 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f112,f195]) ).
fof(f233,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f232]) ).
fof(f234,plain,
( $false
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f233,f184]) ).
fof(f235,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f236,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f115,f217]) ).
fof(f237,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f115,f157]) ).
fof(f238,plain,
( sk_c11 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f237]) ).
fof(f239,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f236]) ).
fof(f240,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f238,f152]) ).
fof(f241,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f242,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f239,f206]) ).
fof(f243,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f244,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f109,f132]) ).
fof(f245,plain,
( sk_c10 != multiply(sk_c9,sk_c10)
| sk_c9 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f109,f195]) ).
fof(f246,plain,
( sk_c10 != multiply(sk_c9,sk_c10)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f245,f184]) ).
fof(f250,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f244,f123]) ).
fof(f251,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f250,f130,f121,f108,f135]) ).
fof(f254,definition,
( spl0_19
<=> sk_c9 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f255,plain,
( sk_c9 = inverse(identity)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( sk_c9 != inverse(identity)
| spl0_19 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f262,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_17 ),
inference(superposition,[],[f3,f206]) ).
fof(f279,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f281,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f262]) ).
fof(f283,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,multiply(sk_c11,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f157]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_17 ),
inference(forward_demodulation,[],[f281,f1]) ).
fof(f289,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f279,f1]) ).
fof(f305,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f288,f217]) ).
fof(f396,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f289,f305]) ).
fof(f402,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c10)
| ~ spl0_12 ),
inference(superposition,[],[f289,f157]) ).
fof(f406,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f289,f132]) ).
fof(f411,plain,
( sk_c10 = multiply(inverse(sk_c3),sk_c4)
| ~ spl0_13 ),
inference(superposition,[],[f289,f162]) ).
fof(f418,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f411,f127]) ).
fof(f423,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f406,f123]) ).
fof(f425,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f402,f152]) ).
fof(f427,plain,
( identity = sk_c10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f396,f3]) ).
fof(f443,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f418,f427]) ).
fof(f444,plain,
( identity = sk_c4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f443,f1]) ).
fof(f447,plain,
( sk_c9 = multiply(sk_c10,identity)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f173,f444]) ).
fof(f448,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f447,f427]) ).
fof(f451,plain,
( identity = sk_c9
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f448,f1]) ).
fof(f459,plain,
( sk_c10 != multiply(identity,sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f246,f451]) ).
fof(f473,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f459,f1]) ).
fof(f474,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f529,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f3,f123]) ).
fof(f548,plain,
( ! [X0,X1] :
( sk_c9 != multiply(sk_c10,multiply(X0,multiply(X1,sk_c10)))
| sk_c10 != inverse(multiply(X0,X1)) )
| ~ spl0_4 ),
inference(superposition,[],[f118,f4]) ).
fof(f550,plain,
( sk_c9 != multiply(sk_c10,sk_c4)
| sk_c10 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f118,f162]) ).
fof(f575,definition,
( spl0_28
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f577,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl0_28 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f579,definition,
( spl0_29
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f580,plain,
( sk_c10 = sk_c9
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f583,plain,
( sk_c9 != multiply(sk_c10,sk_c4)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f550,f127]) ).
fof(f584,plain,
( ~ spl0_14
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f583,f160,f125,f117,f171]) ).
fof(f601,plain,
( sk_c10 != sk_c9
| ~ spl0_6
| ~ spl0_13
| spl0_14 ),
inference(superposition,[],[f172,f418]) ).
fof(f628,plain,
( ! [X0] :
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(multiply(inverse(X0),X0)) )
| ~ spl0_4 ),
inference(superposition,[],[f548,f289]) ).
fof(f646,plain,
( sk_c10 != inverse(identity)
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f628,f3]) ).
fof(f652,plain,
( sk_c10 != sk_c9
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f646,f255]) ).
fof(f656,plain,
( sk_c10 = sk_c9
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f423,f137]) ).
fof(f659,plain,
( ~ spl0_29
| ~ spl0_6
| ~ spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f601,f171,f160,f125,f579]) ).
fof(f661,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f652,f254,f117,f579,f575]) ).
fof(f663,plain,
( spl0_29
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f656,f135,f130,f121,f579]) ).
fof(f674,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_5
| ~ spl0_29 ),
inference(superposition,[],[f529,f580]) ).
fof(f678,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| spl0_28
| ~ spl0_29 ),
inference(forward_demodulation,[],[f577,f580]) ).
fof(f679,plain,
( multiply(sk_c5,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f283,f425]) ).
fof(f683,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f289,f425]) ).
fof(f685,plain,
( identity = sk_c10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f683,f3]) ).
fof(f689,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f679,f157]) ).
fof(f701,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f689,f678]) ).
fof(f702,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f703,plain,
( sk_c10 != inverse(identity)
| spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f256,f580]) ).
fof(f748,plain,
( identity != inverse(identity)
| ~ spl0_11
| ~ spl0_12
| spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f703,f685]) ).
fof(f781,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_29 ),
inference(forward_demodulation,[],[f674,f685]) ).
fof(f782,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_29 ),
inference(forward_demodulation,[],[f781,f1]) ).
fof(f784,plain,
( sk_c9 = inverse(identity)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_29 ),
inference(superposition,[],[f123,f782]) ).
fof(f789,plain,
( sk_c10 = inverse(identity)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_29 ),
inference(forward_demodulation,[],[f784,f580]) ).
fof(f793,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_29 ),
inference(forward_demodulation,[],[f789,f685]) ).
fof(f796,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f793,f748]) ).
fof(f797,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| spl0_19
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f796]) ).
cnf(s1,plain,
( spl0_2
| spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f119]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f128]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f133]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f138]) ).
cnf(s8,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f153]) ).
cnf(s9,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f158]) ).
cnf(s10,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f163]) ).
cnf(s11,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f164]) ).
cnf(s12,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f165]) ).
cnf(s15,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f168]) ).
cnf(s16,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f169]) ).
cnf(s17,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f174]) ).
cnf(s18,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f175]) ).
cnf(s19,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f176]) ).
cnf(s24,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f185]) ).
cnf(s25,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f186]) ).
cnf(s26,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f187]) ).
cnf(s27,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f188]) ).
cnf(s28,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f189]) ).
cnf(s31,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f196]) ).
cnf(s32,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f197]) ).
cnf(s33,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f198]) ).
cnf(s34,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f199]) ).
cnf(s35,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f200]) ).
cnf(s38,plain,
( spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f207]) ).
cnf(s39,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f208]) ).
cnf(s40,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f209]) ).
cnf(s43,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f212]) ).
cnf(s44,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f213]) ).
cnf(s45,plain,
( spl0_5
| spl0_18 ),
inference(sat_conversion,[],[f218]) ).
cnf(s46,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f219]) ).
cnf(s47,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f220]) ).
cnf(s50,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f223]) ).
cnf(s51,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f224]) ).
cnf(s53,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f231]) ).
cnf(s54,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f235]) ).
cnf(s55,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f241]) ).
cnf(s56,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f243]) ).
cnf(s58,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f251]) ).
cnf(s62,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f474]) ).
cnf(s71,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f584]) ).
cnf(s75,plain,
( ~ spl0_6
| ~ spl0_13
| spl0_14
| ~ spl0_29 ),
inference(sat_conversion,[],[f659]) ).
cnf(s77,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f661]) ).
cnf(s79,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_29 ),
inference(sat_conversion,[],[f663]) ).
cnf(s82,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f702]) ).
cnf(s88,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| spl0_19
| ~ spl0_29 ),
inference(sat_conversion,[],[f797]) ).
cnf(s89,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s71,s3,s10,s17]) ).
cnf(s90,plain,
( ~ spl0_13
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s79,s75,s18,s19,s71,s89]) ).
cnf(s91,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s77,s82,s88,s79,s11,s12,s15,s16,s89]) ).
cnf(s92,plain,
~ spl0_4,
inference(rat,[],[s77,s82,s88,s79,s4,s5,s8,s9,s90,s91,s89]) ).
cnf(s93,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s56,s44,s51]) ).
cnf(s94,plain,
( ~ spl0_12
| ~ spl0_3 ),
inference(rat,[],[s56,s43,s50,s55]) ).
cnf(s95,plain,
~ spl0_3,
inference(rat,[],[s94,s93]) ).
cnf(s97,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s53,s34,s35]) ).
cnf(s98,plain,
( ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s53,s27,s28,s54]) ).
cnf(s99,plain,
~ spl0_2,
inference(rat,[],[s98,s97]) ).
cnf(s100,plain,
spl0_1,
inference(rat,[],[s2,s92,s95,s99]) ).
cnf(s101,plain,
spl0_16,
inference(rat,[],[s58,s31,s32,s33,s100]) ).
cnf(s102,plain,
( spl0_14
| ~ spl0_5 ),
inference(rat,[],[s58,s18,s19,s100]) ).
cnf(s103,plain,
( spl0_18
| ~ spl0_5 ),
inference(rat,[],[s58,s46,s47,s100]) ).
cnf(s104,plain,
( spl0_17
| ~ spl0_5 ),
inference(rat,[],[s58,s39,s40,s100]) ).
cnf(s105,plain,
( spl0_13
| ~ spl0_5 ),
inference(rat,[],[s58,s11,s12,s100]) ).
cnf(s106,plain,
( ~ spl0_5
| ~ spl0_15 ),
inference(rat,[],[s58,s4,s5,s62,s105,s104,s103,s102,s100,s101]) ).
cnf(s107,plain,
~ spl0_15,
inference(rat,[],[s62,s3,s10,s17,s38,s45,s106,s100,s101]) ).
cnf(s111,plain,
spl0_8,
inference(rat,[],[s26,s107]) ).
cnf(s112,plain,
spl0_7,
inference(rat,[],[s25,s107]) ).
cnf(s113,plain,
spl0_5,
inference(rat,[],[s24,s107]) ).
cnf(s114,plain,
$false,
inference(rat,[],[s58,s113,s100,s111,s112]) ).
fof(f798,plain,
$false,
inference(avatar_sat_refutation,[],[s114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP266-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:46:41 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.44 % (2584817)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (2584825)dis+10_1_sil=32000:sp=arity:random_seed=1222722920:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.44 % (2584823)% WARNING: option uhcvi not known.
% 0.10/0.44 % (2584822)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3601253391_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.44 % (2584827)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1219210124:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.44 % (2584824)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1499397467:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44 % (2584826)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1434971116:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (2584823)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=103002315:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.44 % (2584828)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1130112478:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44 % (2584825) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2584817-2584825"...
% 0.10/0.44 % (2584825)...printing done.
% 0.10/0.44 % TRYING [1]
% 0.10/0.44 % (2584825)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2584825)------------------------------
% 0.10/0.45 % (2584825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2584825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2584825)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2584825)Termination reason: Refutation
% 0.10/0.45 % (2584825)Time elapsed: 0.010 s
% 0.10/0.45 % (2584825)Peak memory usage: 12 MB
% 0.10/0.45 % (2584825)Instructions burned: 28 (million)
% 0.10/0.45 % (2584817)Success in time 0.039 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------