%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP333-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 10:13:40 AM UTC 2026
% Result : Unsatisfiable 1.88s 1.31s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 36
% Syntax : Number of formulae : 251 ( 19 unt; 15 def)
% Number of atoms : 795 ( 217 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1052 ( 508 ~; 529 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c6 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| inverse(X1) != sk_c6
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c7) != sk_c6
| inverse(X2) != sk_c7
| multiply(X3,sk_c6) != sk_c5
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6
| sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5)
| sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ),
inference(reorient_equations,[],[f38]) ).
fof(f41,definition,
( spl0_1
<=> ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f42,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,definition,
( spl0_2
<=> ! [X2] :
( sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f45,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c6 != multiply(X2,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,definition,
( spl0_3
<=> ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f48,plain,
( ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,definition,
( spl0_4
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f51,plain,
( ! [X0] :
( inverse(X0) != sk_c6
| sk_c7 != multiply(X0,sk_c6) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,definition,
( spl0_5
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f54,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f39,f53,f50,f47,f44,f41]) ).
fof(f58,definition,
( spl0_6
<=> sk_c6 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f60,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f62,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f64,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f37,f62,f58]) ).
fof(f67,definition,
( spl0_8
<=> sk_c5 = multiply(sk_c4,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f68,plain,
( sk_c5 != multiply(sk_c4,sk_c6)
| spl0_8 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f69,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f35,f62,f67]) ).
fof(f72,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f74,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f33,f62,f72]) ).
fof(f77,definition,
( spl0_10
<=> sk_c6 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f79,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f31,f62,f77]) ).
fof(f82,definition,
( spl0_11
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f84,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f29,f82,f58]) ).
fof(f86,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f27,f82,f67]) ).
fof(f87,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f25,f82,f72]) ).
fof(f88,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f23,f82,f77]) ).
fof(f90,definition,
( spl0_12
<=> sk_c6 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f92,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f21,f90,f58]) ).
fof(f94,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f19,f90,f67]) ).
fof(f95,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f17,f90,f72]) ).
fof(f96,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f15,f90,f77]) ).
fof(f98,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f100,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f13,f98,f58]) ).
fof(f102,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f11,f98,f67]) ).
fof(f103,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f9,f98,f72]) ).
fof(f104,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f7,f98,f77]) ).
fof(f105,plain,
spl0_5,
inference(avatar_split_clause,[],[f5,f53]) ).
fof(f107,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f45,f74]) ).
fof(f108,plain,
( sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f107]) ).
fof(f109,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f108,f79]) ).
fof(f110,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f109]) ).
fof(f116,definition,
( spl0_15
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f117,plain,
( sk_c6 = sk_c7
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
( sk_c6 != sk_c7
| spl0_15 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f121,plain,
( sk_c6 != sk_c7
| sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f45,f92]) ).
fof(f122,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_6 ),
inference(superposition,[],[f3,f60]) ).
fof(f123,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f3,f84]) ).
fof(f124,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f92]) ).
fof(f127,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_5 ),
inference(superposition,[],[f4,f54]) ).
fof(f129,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f122]) ).
fof(f134,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f129,f1]) ).
fof(f135,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f127,f1]) ).
fof(f138,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f123]) ).
fof(f139,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f138,f1]) ).
fof(f142,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f134,f69]) ).
fof(f206,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f135,f54]) ).
fof(f207,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f135,f142]) ).
fof(f208,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_12 ),
inference(superposition,[],[f135,f124]) ).
fof(f209,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_6 ),
inference(superposition,[],[f135,f122]) ).
fof(f213,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f135,f100]) ).
fof(f228,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f213,f92]) ).
fof(f231,plain,
( identity = sk_c5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f207,f3]) ).
fof(f233,plain,
( sk_c6 = sk_c5
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f228,f54]) ).
fof(f246,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f64,f233]) ).
fof(f247,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f206,f233]) ).
fof(f248,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f247,f3]) ).
fof(f249,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f248,f231]) ).
fof(f250,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f231,f248]) ).
fof(f252,plain,
( sk_c6 = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f250,f233]) ).
fof(f253,plain,
( sk_c6 = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f249,f233]) ).
fof(f254,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f252,f118]) ).
fof(f255,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f256,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f253,f118]) ).
fof(f257,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f258,plain,
( sk_c6 != multiply(sk_c4,sk_c6)
| ~ spl0_5
| spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f68,f233]) ).
fof(f259,plain,
( sk_c1 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f208,f248]) ).
fof(f260,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f209,f248]) ).
fof(f275,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f139,f246]) ).
fof(f285,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f135,f275]) ).
fof(f287,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f285,f3]) ).
fof(f289,plain,
( sk_c1 = sk_c4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f260,f259]) ).
fof(f290,plain,
( sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f258,f289]) ).
fof(f294,plain,
( sk_c6 != sk_c7
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f290,f100]) ).
fof(f311,plain,
( sk_c6 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f248,f287]) ).
fof(f320,definition,
( spl0_16
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f322,plain,
( sk_c6 != multiply(sk_c1,sk_c7)
| spl0_16 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f323,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f121,f90,f44,f116,f320]) ).
fof(f324,plain,
( ~ spl0_15
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f294,f98,f90,f67,f58,f53,f116]) ).
fof(f325,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f311,f98,f90,f82,f62,f53,f116]) ).
fof(f350,plain,
( sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl0_15
| spl0_16 ),
inference(forward_demodulation,[],[f322,f117]) ).
fof(f351,plain,
( sk_c6 != sk_c7
| ~ spl0_13
| ~ spl0_15
| spl0_16 ),
inference(forward_demodulation,[],[f350,f100]) ).
fof(f352,plain,
( $false
| ~ spl0_13
| ~ spl0_15
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f351,f117]) ).
fof(f353,plain,
( ~ spl0_13
| ~ spl0_15
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f354,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c6) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f42,f233]) ).
fof(f363,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f354,f92]) ).
fof(f368,plain,
( sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f363]) ).
fof(f373,plain,
( sk_c6 != sk_c7
| ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f368,f100]) ).
fof(f374,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f373,f117]) ).
fof(f375,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f391,plain,
( ! [X0] :
( inverse(X0) != sk_c6
| sk_c6 != multiply(X0,sk_c6) )
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f51,f117]) ).
fof(f432,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f391,f92]) ).
fof(f437,plain,
( sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f432]) ).
fof(f442,plain,
( sk_c6 != sk_c7
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f437,f100]) ).
fof(f443,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f442,f117]) ).
fof(f444,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f446,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f74,f117]) ).
fof(f447,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f79,f117]) ).
fof(f458,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f135,f69]) ).
fof(f460,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f458,f60]) ).
fof(f465,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f48,f84]) ).
fof(f466,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c4,sk_c5)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f48,f60]) ).
fof(f469,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f466]) ).
fof(f477,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f391,f446]) ).
fof(f478,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f477]) ).
fof(f481,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f478,f447]) ).
fof(f482,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f489,plain,
( sk_c6 != sk_c6
| sk_c5 != multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f42,f60]) ).
fof(f492,plain,
( sk_c5 != multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f489]) ).
fof(f495,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f492,f69]) ).
fof(f496,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f497,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f465]) ).
fof(f500,plain,
( ~ spl0_7
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f497,f82,f47,f62]) ).
fof(f580,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_9 ),
inference(superposition,[],[f3,f74]) ).
fof(f581,plain,
( sk_c5 = multiply(sk_c7,sk_c3)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f580,f231]) ).
fof(f587,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f135,f79]) ).
fof(f589,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f587,f74]) ).
fof(f595,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c5,sk_c3)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f128,f581]) ).
fof(f598,plain,
( sk_c6 = multiply(sk_c5,sk_c3)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f595,f460]) ).
fof(f607,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f135,f589]) ).
fof(f609,plain,
( identity = sk_c6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f607,f3]) ).
fof(f620,plain,
( sk_c6 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f609,f231]) ).
fof(f631,plain,
( sk_c6 != multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f469,f620]) ).
fof(f633,plain,
( sk_c6 != sk_c5
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f631,f69]) ).
fof(f634,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f633,f620]) ).
fof(f635,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f656,plain,
( sk_c6 = multiply(sk_c6,sk_c3)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f598,f620]) ).
fof(f659,plain,
( sk_c3 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f135,f656]) ).
fof(f661,plain,
( identity = sk_c3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f659,f3]) ).
fof(f664,plain,
( sk_c5 = sk_c3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f661,f231]) ).
fof(f667,plain,
( sk_c6 = sk_c3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f664,f620]) ).
fof(f673,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f581,f667]) ).
fof(f676,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f673,f589]) ).
fof(f677,plain,
( sk_c6 = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f676,f620]) ).
fof(f678,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f677,f118]) ).
fof(f679,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f678]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f56]) ).
cnf(s2,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f65]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f70]) ).
cnf(s4,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f75]) ).
cnf(s5,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f80]) ).
cnf(s6,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f85]) ).
cnf(s7,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f86]) ).
cnf(s8,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f87]) ).
cnf(s9,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f88]) ).
cnf(s10,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f93]) ).
cnf(s11,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f94]) ).
cnf(s12,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f95]) ).
cnf(s13,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f96]) ).
cnf(s14,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f101]) ).
cnf(s15,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f102]) ).
cnf(s16,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f103]) ).
cnf(s17,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f104]) ).
cnf(s18,plain,
spl0_5,
inference(sat_conversion,[],[f105]) ).
cnf(s19,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f110]) ).
cnf(s21,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f255]) ).
cnf(s22,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f257]) ).
cnf(s25,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f323]) ).
cnf(s26,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f324]) ).
cnf(s27,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f325]) ).
cnf(s31,plain,
( ~ spl0_13
| ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f353]) ).
cnf(s34,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f375]) ).
cnf(s40,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f444]) ).
cnf(s42,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(sat_conversion,[],[f482]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f496]) ).
cnf(s44,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f500]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f635]) ).
cnf(s56,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f679]) ).
cnf(s57,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(rat,[],[s1,s18]) ).
cnf(s58,plain,
( spl0_6
| ~ spl0_4 ),
inference(rat,[],[s27,s40,s2,s6,s10,s14,s18]) ).
cnf(s60,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s56,s42,s15,s16,s17,s58,s18]) ).
cnf(s61,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s56,s42,s11,s12,s13,s58,s18]) ).
cnf(s62,plain,
( ~ spl0_12
| spl0_15
| ~ spl0_6
| ~ spl0_13 ),
inference(rat,[],[s3,s27,s7,s22,s18]) ).
cnf(s63,plain,
~ spl0_4,
inference(rat,[],[s62,s40,s61,s60,s58]) ).
cnf(s64,plain,
( spl0_11
| ~ spl0_3 ),
inference(rat,[],[s52,s6,s7,s8,s9]) ).
cnf(s65,plain,
( ~ spl0_11
| ~ spl0_3 ),
inference(rat,[],[s52,s2,s3,s4,s5,s44]) ).
cnf(s66,plain,
~ spl0_3,
inference(rat,[],[s65,s64]) ).
cnf(s67,plain,
( spl0_8
| ~ spl0_13
| ~ spl0_6
| ~ spl0_12 ),
inference(rat,[],[s62,s26,s18]) ).
cnf(s68,plain,
( spl0_8
| ~ spl0_6 ),
inference(rat,[],[s67,s11,s15]) ).
cnf(s69,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s25,s31,s21,s68,s18]) ).
cnf(s70,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s19,s16,s17]) ).
cnf(s71,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s19,s12,s13]) ).
cnf(s72,plain,
( ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s25,s31,s70,s71]) ).
cnf(s73,plain,
( ~ spl0_12
| ~ spl0_2
| ~ spl0_13 ),
inference(rat,[],[s2,s27,s6,s72,s69,s18]) ).
cnf(s74,plain,
~ spl0_2,
inference(rat,[],[s73,s71,s70]) ).
cnf(s75,plain,
spl0_1,
inference(rat,[],[s57,s63,s66,s74]) ).
cnf(s76,plain,
( spl0_15
| ~ spl0_13
| ~ spl0_12 ),
inference(rat,[],[s27,s2,s6,s62,s18]) ).
cnf(s77,plain,
( ~ spl0_13
| ~ spl0_12 ),
inference(rat,[],[s76,s34,s75,s18]) ).
cnf(s78,plain,
spl0_13,
inference(rat,[],[s43,s14,s15,s75]) ).
cnf(s79,plain,
~ spl0_12,
inference(rat,[],[s77,s78]) ).
cnf(s82,plain,
spl0_8,
inference(rat,[],[s11,s79]) ).
cnf(s83,plain,
spl0_6,
inference(rat,[],[s10,s79]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s43,s75,s82,s83]) ).
fof(f680,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP333-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:53:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.88/1.31 % (3747387)Input is clausal, will run a generic CNF schedule.
% 1.88/1.31 % (3747394)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4159579625:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.88/1.31 % (3747393)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2355107362:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.88/1.31 % (3747395)lrs+10_1_sil=8000:sp=occurrence:random_seed=1222234692:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.88/1.31 % (3747392)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=1649162125:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.88/1.31 % (3747396)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4230045314:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.88/1.31 % (3747398)dis-21_1_sil=8000:lcm=predicate:random_seed=2624946436: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)
% 1.88/1.31 % (3747397)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=791531285:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.88/1.31 % (3747398)Refutation not found, incomplete strategy
% 1.88/1.31 % (3747398)------------------------------
% 1.88/1.31 % (3747398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.88/1.31 % (3747398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/1.31 % (3747398)CaDiCaL version: 2.1.3
% 1.88/1.31 % (3747398)Termination reason: Refutation not found, incomplete strategy
% 1.88/1.31 % (3747398)Time elapsed: 0.002 s
% 1.88/1.31 % (3747398)Peak memory usage: 88 MB
% 1.88/1.31 % (3747398)Instructions burned: 1 (million)
% 1.88/1.31 % (3747397)First to succeed.
% 1.88/1.31 % (3747397)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3747387"
% 1.88/1.31 % (3747395)Instruction limit reached!
% 1.88/1.31 % (3747395)------------------------------
% 1.88/1.31 % (3747395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.88/1.31 % (3747395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/1.31 % (3747395)CaDiCaL version: 2.1.3
% 1.88/1.31 % (3747395)Termination reason: Instruction limit
% 1.88/1.31 % (3747395)Termination phase: Saturation
% 1.88/1.31 % (3747395)Time elapsed: 0.053 s
% 1.88/1.31 % (3747395)Peak memory usage: 89 MB
% 1.88/1.31 % (3747395)Instructions burned: 108 (million)
% 1.88/1.31 % (3747396)Instruction limit reached!
% 1.88/1.31 % (3747396)------------------------------
% 1.88/1.31 % (3747396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.88/1.31 % (3747396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/1.31 % (3747396)CaDiCaL version: 2.1.3
% 1.88/1.31 % (3747396)Termination reason: Instruction limit
% 1.88/1.31 % (3747396)Termination phase: Saturation
% 1.88/1.31 % (3747396)Time elapsed: 0.067 s
% 1.88/1.31 % (3747396)Peak memory usage: 89 MB
% 1.88/1.31 % (3747396)Instructions burned: 114 (million)
% 1.88/1.31 % (3747406)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3244977847:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.88/1.31 % (3747406)Also succeeded, but the first one will report.
% 1.88/1.31 % (3747407)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4134910341:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 1.88/1.31 % (3747398)------------------------------
% 1.88/1.31 % (3747398)------------------------------
% 1.88/1.31 % (3747397)Refutation found. Thanks to Tanya!
% 1.88/1.31 % SZS status Unsatisfiable for theBenchmark
% 1.88/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.80/1.53 % (3747397)------------------------------
% 3.80/1.53 % (3747397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.53 % (3747397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.53 % (3747397)CaDiCaL version: 2.1.3
% 3.80/1.53 % (3747397)Termination reason: Refutation
% 3.80/1.53 % (3747397)Time elapsed: 0.017 s
% 3.80/1.53 % (3747397)Peak memory usage: 89 MB
% 3.80/1.53 % (3747397)Instructions burned: 25 (million)
% 3.80/1.53 % (3747397)------------------------------
% 3.80/1.53 % (3747397)------------------------------
% 3.80/1.53 % (3747387)Success in time 0.447 s
% 3.80/1.53 % Vampire exiting
%------------------------------------------------------------------------------