%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP225-1 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:13 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 52
% Syntax : Number of formulae : 278 ( 19 unt; 23 def)
% Number of atoms : 725 ( 267 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 816 ( 369 ~; 424 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 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,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f7]) ).
fof(f13,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( inverse(sk_c1) = sk_c9
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( inverse(sk_c1) = sk_c9
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( inverse(sk_c1) = sk_c9
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f33,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c9) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(X0) != sk_c9
| multiply(X0,sk_c8) != sk_c9
| multiply(sk_c9,X1) != sk_c8
| multiply(X2,sk_c9) != X1
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| inverse(X4) != sk_c8
| multiply(X5,X6) != sk_c8
| inverse(X5) != X6
| multiply(X6,sk_c9) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(sk_c9,X1)
| multiply(X2,sk_c9) != X1
| sk_c9 != inverse(X2)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c8 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c8 != multiply(X6,sk_c9) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,plain,
! [X2,X3,X0,X6,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c8 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c8 != multiply(X6,sk_c9) ),
inference(equality_resolution,[],[f76]) ).
fof(f78,plain,
! [X2,X3,X0,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != multiply(inverse(X5),sk_c9) ),
inference(equality_resolution,[],[f77]) ).
fof(f80,definition,
( spl0_1
<=> ! [X5] :
( sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != multiply(inverse(X5),sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f81,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),sk_c9)
| sk_c8 != multiply(X5,inverse(X5)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f84,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl0_3
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,definition,
( spl0_4
<=> ! [X2] :
( sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f90,plain,
( ! [X2] :
( sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f78,f86,f89,f86,f83,f80]) ).
fof(f93,definition,
( spl0_5
<=> sk_c8 = multiply(sk_c7,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f97,definition,
( spl0_6
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f99,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f74,f97,f93]) ).
fof(f102,definition,
( spl0_7
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f104,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f72,f97,f102]) ).
fof(f107,definition,
( spl0_8
<=> sk_c8 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f110,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f70,f97,f107]) ).
fof(f112,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f114,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f68,f97,f112]) ).
fof(f117,definition,
( spl0_10
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f119,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f66,f97,f117]) ).
fof(f122,definition,
( spl0_11
<=> sk_c9 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f124,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f64,f97,f122]) ).
fof(f127,definition,
( spl0_12
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f129,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f62,f97,f127]) ).
fof(f132,definition,
( spl0_13
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f60,f132,f93]) ).
fof(f136,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f58,f132,f102]) ).
fof(f137,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f56,f132,f107]) ).
fof(f138,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f54,f132,f112]) ).
fof(f139,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f132,f117]) ).
fof(f140,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f50,f132,f122]) ).
fof(f141,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f48,f132,f127]) ).
fof(f143,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f145,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f149,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f143,f112]) ).
fof(f150,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f143,f117]) ).
fof(f151,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f143,f122]) ).
fof(f152,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f143,f127]) ).
fof(f154,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f156,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f162,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f154,f122]) ).
fof(f163,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f154,f127]) ).
fof(f165,definition,
( spl0_16
<=> inverse(sk_c1) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f167,plain,
( inverse(sk_c1) = sk_c9
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,plain,
( spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f18,f165,f93]) ).
fof(f169,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f16,f165,f102]) ).
fof(f170,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f14,f165,f107]) ).
fof(f173,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f8,f165,f122]) ).
fof(f174,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f6,f165,f127]) ).
fof(f176,plain,
( sk_c8 != sk_c8
| sk_c9 != multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f84,f114]) ).
fof(f177,plain,
( sk_c9 != sk_c8
| sk_c9 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f84,f129]) ).
fof(f178,plain,
( sk_c9 != multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f176]) ).
fof(f180,definition,
( spl0_17
<=> sk_c9 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f181,plain,
( sk_c9 = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f183,plain,
( ~ spl0_11
| ~ spl0_17
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f177,f127,f83,f180,f122]) ).
fof(f184,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f178,f112,f83,f117]) ).
fof(f194,plain,
( sk_c9 != sk_c8
| sk_c9 != multiply(sk_c2,sk_c8)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f84,f99]) ).
fof(f195,plain,
( sk_c9 != sk_c8
| sk_c9 != multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f84,f167]) ).
fof(f196,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f167]) ).
fof(f199,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f3,f99]) ).
fof(f202,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f204,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f196]) ).
fof(f207,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f199]) ).
fof(f208,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f124]) ).
fof(f261,plain,
( multiply(identity,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f204,f156]) ).
fof(f278,plain,
( multiply(sk_c9,sk_c3) = multiply(identity,sk_c9)
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f207,f134]) ).
fof(f284,plain,
( sk_c8 = multiply(identity,sk_c9)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f145,f278]) ).
fof(f302,plain,
( multiply(identity,sk_c1) = multiply(inverse(sk_c9),identity)
| ~ spl0_16 ),
inference(superposition,[],[f202,f196]) ).
fof(f307,plain,
( multiply(inverse(sk_c9),identity) = multiply(identity,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f202,f199]) ).
fof(f308,plain,
( multiply(identity,sk_c8) = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_11 ),
inference(superposition,[],[f202,f124]) ).
fof(f331,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1,f284]) ).
fof(f334,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f331,f143,f132,f97,f180]) ).
fof(f336,definition,
( spl0_20
<=> sk_c9 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f337,plain,
( sk_c9 = multiply(sk_c2,sk_c8)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f338,plain,
( sk_c9 != multiply(sk_c2,sk_c8)
| spl0_20 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f339,plain,
( ~ spl0_20
| ~ spl0_17
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f194,f97,f83,f180,f336]) ).
fof(f340,plain,
( ~ spl0_15
| ~ spl0_17
| ~ spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f195,f165,f83,f180,f154]) ).
fof(f341,plain,
( sk_c9 = multiply(sk_c4,sk_c9)
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f124,f181]) ).
fof(f380,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| sk_c9 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f90,f341]) ).
fof(f382,plain,
( sk_c8 != multiply(sk_c9,sk_c3)
| sk_c9 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f90,f134]) ).
fof(f385,plain,
( sk_c8 != multiply(identity,sk_c9)
| sk_c9 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f90,f207]) ).
fof(f387,definition,
( spl0_21
<=> sk_c8 = multiply(identity,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f389,plain,
( sk_c8 != multiply(identity,sk_c9)
| spl0_21 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f390,plain,
( ~ spl0_6
| ~ spl0_21
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f385,f97,f89,f387,f97]) ).
fof(f396,definition,
( spl0_23
<=> sk_c8 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f397,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f398,plain,
( sk_c8 != multiply(sk_c8,sk_c9)
| spl0_23 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f401,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f382,f132,f89,f143,f97]) ).
fof(f421,definition,
( spl0_28
<=> sk_c8 = multiply(sk_c9,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f422,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f423,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| spl0_28 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f448,plain,
( sk_c9 != sk_c8
| spl0_21 ),
inference(superposition,[],[f389,f1]) ).
fof(f451,plain,
( ~ spl0_17
| spl0_21 ),
inference(avatar_split_clause,[],[f448,f387,f180]) ).
fof(f452,plain,
( sk_c8 != multiply(identity,sk_c8)
| ~ spl0_15
| ~ spl0_16
| spl0_28 ),
inference(superposition,[],[f423,f261]) ).
fof(f457,plain,
( sk_c8 != sk_c8
| ~ spl0_15
| ~ spl0_16
| spl0_28 ),
inference(superposition,[],[f452,f1]) ).
fof(f458,plain,
( $false
| ~ spl0_15
| ~ spl0_16
| spl0_28 ),
inference(trivial_inequality_removal,[],[f457]) ).
fof(f459,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f471,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f87,f167]) ).
fof(f476,plain,
( sk_c9 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f471]) ).
fof(f477,plain,
( ~ spl0_15
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f476,f165,f86,f154]) ).
fof(f479,plain,
( multiply(identity,sk_c1) = multiply(identity,sk_c2)
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f302,f307]) ).
fof(f511,plain,
( sk_c2 = multiply(identity,sk_c1)
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f1,f479]) ).
fof(f515,plain,
( sk_c1 = sk_c2
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f1,f511]) ).
fof(f527,plain,
( sk_c9 != multiply(sk_c1,sk_c8)
| ~ spl0_6
| ~ spl0_16
| spl0_20 ),
inference(superposition,[],[f338,f515]) ).
fof(f529,plain,
( ~ spl0_15
| ~ spl0_6
| ~ spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f527,f336,f165,f97,f154]) ).
fof(f531,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f337,f181]) ).
fof(f550,plain,
( sk_c8 != multiply(sk_c7,sk_c9)
| sk_c8 != multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f81,f104]) ).
fof(f551,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| sk_c8 != multiply(sk_c2,sk_c9)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f81,f99]) ).
fof(f560,definition,
( spl0_34
<=> sk_c8 = multiply(identity,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f562,plain,
( sk_c8 != multiply(identity,sk_c8)
| spl0_34 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f579,definition,
( spl0_38
<=> sk_c8 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f581,plain,
( sk_c8 != multiply(sk_c2,sk_c9)
| spl0_38 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f582,plain,
( ~ spl0_38
| ~ spl0_28
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f551,f97,f80,f421,f579]) ).
fof(f583,plain,
( ~ spl0_8
| ~ spl0_5
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f550,f102,f80,f93,f107]) ).
fof(f591,plain,
( sk_c9 != sk_c8
| ~ spl0_17
| ~ spl0_20
| spl0_38 ),
inference(superposition,[],[f581,f531]) ).
fof(f593,plain,
( ~ spl0_17
| ~ spl0_17
| ~ spl0_20
| spl0_38 ),
inference(avatar_split_clause,[],[f591,f579,f336,f180,f180]) ).
fof(f596,plain,
( multiply(identity,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f308,f129]) ).
fof(f598,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_12 ),
inference(superposition,[],[f3,f129]) ).
fof(f601,plain,
( multiply(identity,sk_c8) = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_10 ),
inference(superposition,[],[f202,f119]) ).
fof(f619,plain,
( multiply(inverse(sk_c9),identity) = multiply(identity,sk_c4)
| ~ spl0_12 ),
inference(superposition,[],[f202,f598]) ).
fof(f627,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f87,f129]) ).
fof(f630,plain,
( sk_c9 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f627]) ).
fof(f632,plain,
( ~ spl0_11
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f630,f127,f86,f122]) ).
fof(f634,plain,
( sk_c8 != sk_c8
| spl0_34 ),
inference(superposition,[],[f562,f1]) ).
fof(f635,plain,
( $false
| spl0_34 ),
inference(trivial_inequality_removal,[],[f634]) ).
fof(f636,plain,
spl0_34,
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f653,plain,
( multiply(sk_c8,sk_c9) = multiply(identity,sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f601,f114]) ).
fof(f714,plain,
( multiply(identity,sk_c1) = multiply(identity,sk_c4)
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f302,f619]) ).
fof(f731,plain,
( sk_c8 != multiply(identity,sk_c8)
| ~ spl0_9
| ~ spl0_10
| spl0_23 ),
inference(superposition,[],[f398,f653]) ).
fof(f736,plain,
( ~ spl0_34
| ~ spl0_9
| ~ spl0_10
| spl0_23 ),
inference(avatar_split_clause,[],[f731,f396,f117,f112,f560]) ).
fof(f740,plain,
( multiply(sk_c4,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl0_11
| ~ spl0_23 ),
inference(superposition,[],[f208,f397]) ).
fof(f754,plain,
( sk_c4 = multiply(identity,sk_c1)
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f1,f714]) ).
fof(f758,plain,
( sk_c1 = sk_c4
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f1,f754]) ).
fof(f771,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f124,f758]) ).
fof(f780,plain,
( spl0_15
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f771,f165,f127,f122,f154]) ).
fof(f791,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_11
| ~ spl0_23 ),
inference(superposition,[],[f124,f740]) ).
fof(f797,plain,
( sk_c9 = sk_c8
| ~ spl0_11
| ~ spl0_23
| ~ spl0_28 ),
inference(superposition,[],[f422,f791]) ).
fof(f803,plain,
( spl0_17
| ~ spl0_11
| ~ spl0_23
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f797,f421,f396,f122,f180]) ).
fof(f818,plain,
( sk_c8 != multiply(identity,sk_c8)
| ~ spl0_11
| ~ spl0_12
| spl0_28 ),
inference(superposition,[],[f423,f596]) ).
fof(f819,plain,
( ~ spl0_34
| ~ spl0_11
| ~ spl0_12
| spl0_28 ),
inference(avatar_split_clause,[],[f818,f421,f127,f122,f560]) ).
fof(f820,plain,
( ~ spl0_12
| ~ spl0_28
| ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f380,f180,f122,f89,f421,f127]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f91]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f100]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f105]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f110]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f115]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f120]) ).
cnf(s8,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f125]) ).
cnf(s9,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f130]) ).
cnf(s10,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s11,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s12,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s13,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s14,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s15,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s16,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f141]) ).
cnf(s20,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s21,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s22,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s23,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f152]) ).
cnf(s29,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f162]) ).
cnf(s30,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f163]) ).
cnf(s31,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s32,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s33,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f170]) ).
cnf(s36,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f173]) ).
cnf(s37,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f174]) ).
cnf(s38,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f183]) ).
cnf(s39,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f184]) ).
cnf(s41,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f334]) ).
cnf(s43,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f339]) ).
cnf(s44,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f340]) ).
cnf(s45,plain,
( ~ spl0_6
| ~ spl0_4
| ~ spl0_6
| ~ spl0_21 ),
inference(sat_conversion,[],[f390]) ).
cnf(s46,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_21 ),
inference(rat,[],[s45]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f401]) ).
cnf(s59,plain,
( ~ spl0_17
| spl0_21 ),
inference(sat_conversion,[],[f451]) ).
cnf(s60,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_28 ),
inference(sat_conversion,[],[f459]) ).
cnf(s61,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f477]) ).
cnf(s62,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f529]) ).
cnf(s66,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_28
| ~ spl0_38 ),
inference(sat_conversion,[],[f582]) ).
cnf(s67,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f583]) ).
cnf(s69,plain,
( ~ spl0_17
| ~ spl0_17
| ~ spl0_20
| spl0_38 ),
inference(sat_conversion,[],[f593]) ).
cnf(s70,plain,
( ~ spl0_17
| ~ spl0_20
| spl0_38 ),
inference(rat,[],[s69]) ).
cnf(s78,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f632]) ).
cnf(s79,plain,
spl0_34,
inference(sat_conversion,[],[f636]) ).
cnf(s83,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_23
| ~ spl0_34 ),
inference(sat_conversion,[],[f736]) ).
cnf(s84,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f780]) ).
cnf(s85,plain,
( ~ spl0_11
| spl0_17
| ~ spl0_23
| ~ spl0_28 ),
inference(sat_conversion,[],[f803]) ).
cnf(s89,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_28
| ~ spl0_34 ),
inference(sat_conversion,[],[f819]) ).
cnf(s90,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_28 ),
inference(sat_conversion,[],[f820]) ).
cnf(s95,plain,
( spl0_14
| spl0_17 ),
inference(rat,[],[s83,s85,s89,s20,s21,s22,s23,s79]) ).
cnf(s96,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s83,s85,s89,s13,s14,s15,s16,s50,s95,s59,s46,s79]) ).
cnf(s97,plain,
~ spl0_4,
inference(rat,[],[s85,s90,s83,s89,s6,s7,s8,s9,s96,s79]) ).
cnf(s99,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s61,s30,s37]) ).
cnf(s100,plain,
( ~ spl0_12
| ~ spl0_3 ),
inference(rat,[],[s61,s29,s36,s78]) ).
cnf(s101,plain,
~ spl0_3,
inference(rat,[],[s100,s99]) ).
cnf(s102,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s41,s44,s9,s16,s23,s30,s37]) ).
cnf(s103,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s39,s13,s14]) ).
cnf(s104,plain,
( spl0_6
| ~ spl0_2 ),
inference(rat,[],[s39,s6,s7]) ).
cnf(s105,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s62,s29,s36,s43,s38,s102,s104]) ).
cnf(s106,plain,
~ spl0_2,
inference(rat,[],[s41,s95,s105,s104,s103]) ).
cnf(s107,plain,
spl0_1,
inference(rat,[],[s2,s97,s101,s106]) ).
cnf(s108,plain,
spl0_13,
inference(rat,[],[s67,s10,s11,s12,s107]) ).
cnf(s109,plain,
spl0_16,
inference(rat,[],[s67,s31,s32,s33,s107]) ).
cnf(s111,plain,
( ~ spl0_15
| ~ spl0_17
| ~ spl0_6 ),
inference(rat,[],[s66,s70,s60,s62,s107,s109]) ).
cnf(s112,plain,
spl0_15,
inference(rat,[],[s84,s29,s30,s109]) ).
cnf(s116,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(rat,[],[s111,s41,s108,s112]) ).
cnf(s117,plain,
spl0_6,
inference(rat,[],[s67,s3,s4,s5,s107]) ).
cnf(s118,plain,
~ spl0_14,
inference(rat,[],[s116,s117]) ).
cnf(s120,plain,
~ spl0_17,
inference(rat,[],[s111,s112,s117]) ).
cnf(s129,plain,
$false,
inference(rat,[],[s95,s120,s118]) ).
fof(f822,plain,
$false,
inference(avatar_sat_refutation,[],[s129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP225-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n016.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 09:43:32 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 % (2378429)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (2378440)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=10824261:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (2378435)% WARNING: option uhcvi not known.
% 0.17/0.48 % (2378434)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3793927207_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (2378435)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=45059673:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (2378439)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1258599798:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (2378437)dis+10_1_sil=32000:sp=arity:random_seed=636687856:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (2378436)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3221370320:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (2378438)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3372481802:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % (2378440) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2378429-2378440"...
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % (2378440)...printing done.
% 0.17/0.48 % (2378440)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (2378440)------------------------------
% 0.17/0.49 % (2378440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (2378440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (2378440)CaDiCaL version: 2.1.3
% 0.17/0.49 % (2378440)Termination reason: Refutation
% 0.17/0.49 % (2378440)Time elapsed: 0.014 s
% 0.17/0.49 % (2378440)Peak memory usage: 13 MB
% 0.17/0.49 % (2378440)Instructions burned: 37 (million)
% 0.17/0.49 % (2378429)Success in time 0.044 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------