%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP277-1 : 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 : n019.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 10:13:31 AM UTC 2026
% Result : Unsatisfiable 2.25s 1.17s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 42
% Syntax : Number of formulae : 245 ( 18 unt; 14 def)
% Number of atoms : 772 ( 236 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 975 ( 448 ~; 513 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 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_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = inverse(sk_c1)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c7 = inverse(sk_c1)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c3,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c4 = inverse(sk_c3) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c5,sk_c6) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X1) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,X3) != sk_c6
| inverse(X2) != X3
| multiply(X3,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != multiply(X2,X3)
| inverse(X2) != X3
| sk_c6 != multiply(X3,sk_c7) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,plain,
! [X2,X0,X1] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) ),
inference(equality_resolution,[],[f53]) ).
fof(f56,definition,
( spl0_1
<=> ! [X2] :
( sk_c6 != multiply(X2,inverse(X2))
| sk_c6 != multiply(inverse(X2),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f57,plain,
( ! [X2] :
( sk_c6 != multiply(inverse(X2),sk_c7)
| sk_c6 != multiply(X2,inverse(X2)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,definition,
( spl0_2
<=> ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f60,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,definition,
( spl0_3
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f63,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_3 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f66,definition,
( spl0_4
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f67,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f68,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl0_4 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f70,definition,
( spl0_5
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f71,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl0_6
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f54,f74,f70,f66,f62,f59,f56]) ).
fof(f78,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f80,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f51,f66,f78]) ).
fof(f83,definition,
( spl0_8
<=> sk_c4 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f85,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f49,f66,f83]) ).
fof(f88,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c3,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f90,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f47,f66,f88]) ).
fof(f93,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f45,f66,f93]) ).
fof(f98,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f100,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f43,f66,f98]) ).
fof(f102,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f66,f62]) ).
fof(f103,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f39,f70,f78]) ).
fof(f104,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f37,f70,f83]) ).
fof(f105,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f70,f88]) ).
fof(f106,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f33,f70,f93]) ).
fof(f107,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f70,f98]) ).
fof(f108,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f29,f70,f62]) ).
fof(f110,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f112,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f27,f110,f78]) ).
fof(f114,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f25,f110,f83]) ).
fof(f115,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f23,f110,f88]) ).
fof(f116,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f21,f110,f93]) ).
fof(f117,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f19,f110,f98]) ).
fof(f118,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f17,f110,f62]) ).
fof(f120,definition,
( spl0_13
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f122,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f15,f120,f78]) ).
fof(f124,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f13,f120,f83]) ).
fof(f125,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f11,f120,f88]) ).
fof(f126,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f9,f120,f93]) ).
fof(f127,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f7,f120,f98]) ).
fof(f128,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f5,f120,f62]) ).
fof(f129,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl0_8 ),
inference(superposition,[],[f3,f85]) ).
fof(f130,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f3,f100]) ).
fof(f132,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f135,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_7 ),
inference(superposition,[],[f4,f80]) ).
fof(f139,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f132,f1]) ).
fof(f141,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f129]) ).
fof(f142,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f141,f1]) ).
fof(f143,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f130]) ).
fof(f144,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f143,f1]) ).
fof(f145,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f142,f90]) ).
fof(f157,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f144,f95]) ).
fof(f168,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c6)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f135,f157]) ).
fof(f171,plain,
( multiply(sk_c6,sk_c7) = sk_c4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f168,f145]) ).
fof(f172,plain,
( sk_c5 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f171,f63]) ).
fof(f186,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f90,f172]) ).
fof(f204,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f139,f63]) ).
fof(f205,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f139,f80]) ).
fof(f208,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f139,f145]) ).
fof(f210,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl0_8 ),
inference(superposition,[],[f139,f129]) ).
fof(f215,plain,
( sk_c3 = multiply(inverse(sk_c5),identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f210,f172]) ).
fof(f216,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f208,f3]) ).
fof(f218,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f205,f172]) ).
fof(f241,plain,
( sk_c3 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f215,f216]) ).
fof(f255,plain,
( sk_c7 = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f241,f218]) ).
fof(f256,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f85,f255]) ).
fof(f262,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f186,f255]) ).
fof(f263,plain,
( spl0_5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f262,f98,f93,f88,f83,f78,f62,f70]) ).
fof(f268,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f256,f172]) ).
fof(f269,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c6,sk_c5)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f135,f71]) ).
fof(f274,plain,
( sk_c4 = multiply(sk_c6,sk_c5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f269,f145]) ).
fof(f275,plain,
( sk_c5 = multiply(sk_c6,sk_c5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f274,f172]) ).
fof(f292,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f139,f275]) ).
fof(f294,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f292,f204]) ).
fof(f302,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f218,f294]) ).
fof(f306,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f302,f268]) ).
fof(f308,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f306,f68]) ).
fof(f309,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f321,plain,
( sk_c7 != sk_c4
| sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f75,f85]) ).
fof(f326,plain,
( sk_c7 != sk_c5
| sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f321,f172]) ).
fof(f329,plain,
( sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f326,f294]) ).
fof(f330,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f329,f255]) ).
fof(f331,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f330,f157]) ).
fof(f332,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f339,plain,
( sk_c6 != multiply(sk_c4,sk_c7)
| sk_c6 != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f57,f85]) ).
fof(f346,plain,
( sk_c6 != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f339,f80]) ).
fof(f350,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f346,f90]) ).
fof(f351,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f356,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f60,f100]) ).
fof(f358,plain,
( sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f356]) ).
fof(f360,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f358,f95]) ).
fof(f361,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f382,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f112]) ).
fof(f388,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f139,f122]) ).
fof(f389,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f122]) ).
fof(f390,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f388,f112]) ).
fof(f393,plain,
( sk_c7 != sk_c7
| multiply(sk_c1,sk_c7) != sk_c6
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f75,f112]) ).
fof(f394,plain,
( multiply(sk_c1,sk_c7) != sk_c6
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f393]) ).
fof(f396,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f394,f122]) ).
fof(f397,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f403,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| multiply(sk_c1,sk_c7) != sk_c6
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f57,f112]) ).
fof(f409,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f403,f122]) ).
fof(f424,definition,
( spl0_17
<=> identity = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f425,plain,
( identity = sk_c6
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f434,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f139,f390]) ).
fof(f436,plain,
( identity = sk_c6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f434,f3]) ).
fof(f438,plain,
( spl0_17
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f436,f120,f110,f424]) ).
fof(f439,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_17 ),
inference(superposition,[],[f1,f425]) ).
fof(f441,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f439,f63]) ).
fof(f449,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f71,f441]) ).
fof(f453,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f449,f409]) ).
fof(f454,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f455,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f60,f112]) ).
fof(f456,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f455]) ).
fof(f463,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f389,f439]) ).
fof(f468,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f463,f382]) ).
fof(f471,plain,
( sk_c5 = multiply(sk_c1,sk_c6)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f463,f71]) ).
fof(f475,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f471,f441]) ).
fof(f478,plain,
( sk_c1 = multiply(sk_c1,sk_c6)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f468,f425]) ).
fof(f480,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f475,f456]) ).
fof(f481,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f483,plain,
( sk_c7 != sk_c5
| spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f64,f439]) ).
fof(f496,plain,
( sk_c1 = sk_c5
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f478,f471]) ).
fof(f497,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f471,f496]) ).
fof(f505,plain,
( sk_c7 = sk_c5
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f497,f67]) ).
fof(f506,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f505,f483]) ).
fof(f507,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f506]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f76]) ).
cnf(s2,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f81]) ).
cnf(s3,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s4,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f91]) ).
cnf(s5,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f96]) ).
cnf(s6,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f101]) ).
cnf(s7,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f102]) ).
cnf(s8,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f103]) ).
cnf(s9,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f104]) ).
cnf(s10,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f105]) ).
cnf(s11,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f106]) ).
cnf(s12,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f107]) ).
cnf(s13,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f108]) ).
cnf(s14,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f113]) ).
cnf(s15,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f114]) ).
cnf(s16,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f115]) ).
cnf(s17,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f116]) ).
cnf(s18,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s19,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f118]) ).
cnf(s20,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s21,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f124]) ).
cnf(s22,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s23,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s24,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s25,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s26,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f263]) ).
cnf(s28,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f309]) ).
cnf(s30,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f332]) ).
cnf(s32,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f351]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f361]) ).
cnf(s38,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f397]) ).
cnf(s44,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f438]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f454]) ).
cnf(s47,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f481]) ).
cnf(s48,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f507]) ).
cnf(s49,plain,
spl0_3,
inference(rat,[],[s48,s44,s7,s13,s19,s25]) ).
cnf(s50,plain,
( spl0_7
| ~ spl0_6 ),
inference(rat,[],[s38,s14,s20]) ).
cnf(s51,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s30,s21,s22,s23,s24,s50,s49]) ).
cnf(s52,plain,
( ~ spl0_5
| ~ spl0_4
| spl0_1
| spl0_2 ),
inference(rat,[],[s30,s15,s16,s17,s18,s38,s51,s50,s1,s49]) ).
cnf(s53,plain,
spl0_5,
inference(rat,[],[s26,s8,s9,s10,s11,s12,s49]) ).
cnf(s54,plain,
spl0_4,
inference(rat,[],[s28,s2,s3,s4,s5,s6,s49,s53]) ).
cnf(s55,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s34,s17,s18]) ).
cnf(s57,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s34,s23,s24]) ).
cnf(s58,plain,
~ spl0_2,
inference(rat,[],[s47,s44,s57,s55,s49,s53]) ).
cnf(s59,plain,
spl0_1,
inference(rat,[],[s52,s53,s54,s58]) ).
cnf(s60,plain,
spl0_13,
inference(rat,[],[s32,s20,s21,s22,s59]) ).
cnf(s62,plain,
~ spl0_12,
inference(rat,[],[s44,s45,s60,s59,s49,s53]) ).
cnf(s65,plain,
spl0_9,
inference(rat,[],[s16,s62]) ).
cnf(s66,plain,
spl0_8,
inference(rat,[],[s15,s62]) ).
cnf(s67,plain,
spl0_7,
inference(rat,[],[s14,s62]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s32,s67,s59,s65,s66]) ).
fof(f508,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP277-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:44:34 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.25/1.17 % (2843582)Input is clausal, will run a generic CNF schedule.
% 2.25/1.17 % (2843592)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3916386446:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.25/1.17 % (2843592)First to succeed.
% 2.25/1.17 % (2843592)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2843582"
% 2.25/1.17 % (2843591)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2306624614:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.25/1.17 % (2843588)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3312116293:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.25/1.17 % (2843587)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=599502071:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.25/1.17 % (2843589)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2324076801:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.25/1.17 % (2843590)lrs+10_1_sil=8000:sp=occurrence:random_seed=2340044533:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.25/1.17 % (2843590)Refutation not found, incomplete strategy
% 2.25/1.17 % (2843590)------------------------------
% 2.25/1.17 % (2843590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.25/1.17 % (2843590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/1.17 % (2843590)CaDiCaL version: 2.1.3
% 2.25/1.17 % (2843590)Termination reason: Refutation not found, incomplete strategy
% 2.25/1.17 % (2843590)Time elapsed: 0.003 s
% 2.25/1.17 % (2843590)Peak memory usage: 88 MB
% 2.25/1.17 % (2843590)Instructions burned: 4 (million)
% 2.25/1.17 % (2843593)dis-21_1_sil=8000:lcm=predicate:random_seed=1987336730: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)
% 2.25/1.17 % (2843593)Refutation not found, incomplete strategy
% 2.25/1.17 % (2843593)------------------------------
% 2.25/1.17 % (2843593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.25/1.17 % (2843593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/1.17 % (2843593)CaDiCaL version: 2.1.3
% 2.25/1.17 % (2843593)Termination reason: Refutation not found, incomplete strategy
% 2.25/1.17 % (2843593)Time elapsed: 0.002 s
% 2.25/1.17 % (2843593)Peak memory usage: 88 MB
% 2.25/1.17 % (2843593)Instructions burned: 1 (million)
% 2.25/1.17 % (2843591)Instruction limit reached!
% 2.25/1.17 % (2843591)------------------------------
% 2.25/1.17 % (2843591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.25/1.17 % (2843591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/1.17 % (2843591)CaDiCaL version: 2.1.3
% 2.25/1.17 % (2843591)Termination reason: Instruction limit
% 2.25/1.17 % (2843591)Termination phase: Saturation
% 2.25/1.17 % (2843591)Time elapsed: 0.066 s
% 2.25/1.17 % (2843591)Peak memory usage: 89 MB
% 2.25/1.17 % (2843591)Instructions burned: 114 (million)
% 2.25/1.17 % (2843592)Refutation found. Thanks to Tanya!
% 2.25/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.25/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.37 % (2843592)------------------------------
% 2.70/1.37 % (2843592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.37 % (2843592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.37 % (2843592)CaDiCaL version: 2.1.3
% 2.70/1.37 % (2843592)Termination reason: Refutation
% 2.70/1.37 % (2843592)Time elapsed: 0.008 s
% 2.70/1.37 % (2843592)Peak memory usage: 89 MB
% 2.70/1.37 % (2843592)Instructions burned: 21 (million)
% 2.70/1.37 % (2843592)------------------------------
% 2.70/1.37 % (2843592)------------------------------
% 2.70/1.37 % (2843582)Success in time 0.301 s
% 2.70/1.37 % Vampire exiting
%------------------------------------------------------------------------------