%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP326-1 : 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 : n008.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 10:13:39 AM UTC 2026
% Result : Unsatisfiable 2.64s 1.26s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 41
% Syntax : Number of formulae : 244 ( 24 unt; 16 def)
% Number of atoms : 709 ( 226 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 867 ( 402 ~; 449 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c6 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c6 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c7,sk_c3) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c7,sk_c3) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c7,sk_c3) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c7,sk_c3) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c3
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c3
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c3
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c3
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c6) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| multiply(sk_c7,X1) != sk_c6
| multiply(X2,sk_c7) != X1
| inverse(X2) != sk_c7
| inverse(sk_c6) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(X3) != sk_c7
| multiply(X3,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6
| sk_c6 != multiply(sk_c7,X1)
| multiply(X2,sk_c7) != X1
| sk_c7 != inverse(X2)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,plain,
! [X2,X3,X0] :
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6
| sk_c6 != multiply(sk_c7,multiply(X2,sk_c7))
| sk_c7 != inverse(X2)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ),
inference(equality_resolution,[],[f47]) ).
fof(f50,definition,
( spl0_1
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f51,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,definition,
( spl0_2
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f54,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f57,definition,
( spl0_3
<=> sk_c5 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f58,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( sk_c5 != inverse(sk_c6)
| spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f61,definition,
( spl0_4
<=> ! [X2] :
( sk_c6 != multiply(sk_c7,multiply(X2,sk_c7))
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f62,plain,
( ! [X2] :
( sk_c6 != multiply(sk_c7,multiply(X2,sk_c7))
| sk_c7 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f65,plain,
( ! [X0] :
( inverse(X0) != sk_c6
| sk_c7 != multiply(X0,sk_c6) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,definition,
( spl0_6
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f68,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f48,f67,f64,f61,f57,f53,f50]) ).
fof(f72,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c4,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f74,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f76,definition,
( spl0_8
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f78,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f76,f72]) ).
fof(f81,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f83,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f43,f76,f81]) ).
fof(f85,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f41,f76,f53]) ).
fof(f86,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f39,f76,f57]) ).
fof(f88,definition,
( spl0_10
<=> sk_c3 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f90,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f37,f88,f72]) ).
fof(f92,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f35,f88,f81]) ).
fof(f93,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f33,f88,f53]) ).
fof(f94,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f31,f88,f57]) ).
fof(f96,definition,
( spl0_11
<=> sk_c6 = multiply(sk_c7,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f98,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f29,f96,f72]) ).
fof(f100,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f27,f96,f81]) ).
fof(f101,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f25,f96,f53]) ).
fof(f102,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f23,f96,f57]) ).
fof(f104,definition,
( spl0_12
<=> sk_c6 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f106,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f21,f104,f72]) ).
fof(f108,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f19,f104,f81]) ).
fof(f109,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f17,f104,f53]) ).
fof(f110,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f15,f104,f57]) ).
fof(f112,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f114,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f13,f112,f72]) ).
fof(f116,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f11,f112,f81]) ).
fof(f117,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f9,f112,f53]) ).
fof(f118,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f7,f112,f57]) ).
fof(f119,plain,
spl0_6,
inference(avatar_split_clause,[],[f5,f67]) ).
fof(f120,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f62,f68]) ).
fof(f121,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f120,f54]) ).
fof(f122,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f121,f58]) ).
fof(f129,definition,
( spl0_15
<=> sk_c6 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f130,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| spl0_15 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f133,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_3 ),
inference(superposition,[],[f3,f58]) ).
fof(f134,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_9 ),
inference(superposition,[],[f3,f83]) ).
fof(f147,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f150,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f133]) ).
fof(f153,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f150,f1]) ).
fof(f154,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f147,f1]) ).
fof(f157,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f134]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f157,f1]) ).
fof(f159,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f153,f68]) ).
fof(f192,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f158,f74]) ).
fof(f194,plain,
( sk_c6 != sk_c7
| sk_c7 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f62,f158]) ).
fof(f198,plain,
( sk_c6 != sk_c7
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f194,f83]) ).
fof(f199,plain,
( spl0_15
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f192,f81,f72,f129]) ).
fof(f204,definition,
( spl0_20
<=> sk_c7 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f205,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f260,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_15 ),
inference(superposition,[],[f154,f130]) ).
fof(f261,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f154,f54]) ).
fof(f280,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[],[f261,f260]) ).
fof(f281,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f280,f122]) ).
fof(f282,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f287,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f159,f280]) ).
fof(f290,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f51,f83]) ).
fof(f301,plain,
( sk_c6 != sk_c7
| sk_c7 != multiply(sk_c4,sk_c6)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f65,f83]) ).
fof(f302,plain,
( sk_c6 != sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f301,f74]) ).
fof(f309,definition,
( spl0_24
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f310,plain,
( sk_c6 = sk_c7
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f311,plain,
( sk_c6 != sk_c7
| spl0_24 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f313,plain,
( ~ spl0_24
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f302,f81,f72,f64,f309]) ).
fof(f317,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f287,f130]) ).
fof(f326,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f317,f311]) ).
fof(f327,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f332,plain,
( sk_c6 != sk_c6
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f65,f106]) ).
fof(f334,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f106]) ).
fof(f335,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_5
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f332]) ).
fof(f336,plain,
( ~ spl0_13
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f335,f104,f64,f112]) ).
fof(f337,plain,
( sk_c7 != multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f290]) ).
fof(f338,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f337,f81,f50,f72]) ).
fof(f339,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f154,f90]) ).
fof(f341,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f339,f78]) ).
fof(f344,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f98]) ).
fof(f349,plain,
( sk_c6 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f51,f106]) ).
fof(f370,plain,
( sk_c6 = sk_c7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f98,f341]) ).
fof(f372,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f154,f341]) ).
fof(f374,plain,
( identity = sk_c3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f372,f3]) ).
fof(f380,plain,
( sk_c6 != sk_c7
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f349,f114]) ).
fof(f381,plain,
( spl0_24
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f370,f96,f88,f76,f309]) ).
fof(f382,plain,
( ~ spl0_24
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f380,f112,f104,f50,f309]) ).
fof(f385,plain,
( ~ spl0_24
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f198,f81,f61,f309]) ).
fof(f391,plain,
( sk_c6 != multiply(sk_c7,sk_c3)
| sk_c7 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f62,f90]) ).
fof(f393,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f391,f98]) ).
fof(f395,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f393,f78]) ).
fof(f396,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f398,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_24 ),
inference(superposition,[],[f68,f310]) ).
fof(f400,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl0_13
| ~ spl0_24 ),
inference(superposition,[],[f114,f310]) ).
fof(f403,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_12
| ~ spl0_24 ),
inference(superposition,[],[f334,f310]) ).
fof(f404,plain,
( sk_c5 != inverse(sk_c7)
| spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f59,f310]) ).
fof(f415,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_13
| ~ spl0_24 ),
inference(superposition,[],[f154,f400]) ).
fof(f417,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f415,f106]) ).
fof(f418,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f417,f310]) ).
fof(f440,plain,
( sk_c3 = multiply(sk_c7,sk_c1)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f403,f374]) ).
fof(f441,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_11
| ~ spl0_24 ),
inference(forward_demodulation,[],[f344,f310]) ).
fof(f447,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(superposition,[],[f418,f398]) ).
fof(f449,plain,
( sk_c6 != sk_c7
| ~ spl0_12
| ~ spl0_13
| spl0_15
| ~ spl0_24 ),
inference(superposition,[],[f131,f418]) ).
fof(f452,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(superposition,[],[f154,f418]) ).
fof(f454,plain,
( identity = sk_c7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f452,f3]) ).
fof(f457,plain,
( $false
| ~ spl0_12
| ~ spl0_13
| spl0_15
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f449,f310]) ).
fof(f458,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_15
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f470,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),multiply(sk_c7,X0))
| ~ spl0_11
| ~ spl0_24 ),
inference(superposition,[],[f154,f441]) ).
fof(f473,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_11
| ~ spl0_24 ),
inference(forward_demodulation,[],[f470,f154]) ).
fof(f504,plain,
( sk_c7 = sk_c3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(superposition,[],[f454,f374]) ).
fof(f515,plain,
( sk_c7 = multiply(sk_c7,sk_c1)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f440,f504]) ).
fof(f516,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f473,f504]) ).
fof(f522,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(superposition,[],[f154,f515]) ).
fof(f524,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f522,f3]) ).
fof(f527,plain,
( sk_c7 = sk_c1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f524,f454]) ).
fof(f565,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(superposition,[],[f106,f527]) ).
fof(f573,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f565,f310]) ).
fof(f580,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f573,f309,f112,f104,f88,f76,f204]) ).
fof(f586,plain,
( sk_c7 != sk_c5
| spl0_3
| ~ spl0_20
| ~ spl0_24 ),
inference(superposition,[],[f404,f205]) ).
fof(f594,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_15
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f586,f280]) ).
fof(f595,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_15
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f597,plain,
( sk_c6 != sk_c5
| spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f55,f516]) ).
fof(f606,plain,
( sk_c7 != sk_c5
| spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f597,f310]) ).
fof(f615,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f447,f606]) ).
fof(f616,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f615]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f70]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f79]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f84]) ).
cnf(s4,plain,
( spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f85]) ).
cnf(s5,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f91]) ).
cnf(s7,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f92]) ).
cnf(s8,plain,
( spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f93]) ).
cnf(s9,plain,
( spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f94]) ).
cnf(s10,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f99]) ).
cnf(s11,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f100]) ).
cnf(s12,plain,
( spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f101]) ).
cnf(s13,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f102]) ).
cnf(s14,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f107]) ).
cnf(s15,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s16,plain,
( spl0_2
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s17,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s18,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f115]) ).
cnf(s19,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f116]) ).
cnf(s20,plain,
( spl0_2
| spl0_13 ),
inference(sat_conversion,[],[f117]) ).
cnf(s21,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s22,plain,
spl0_6,
inference(sat_conversion,[],[f119]) ).
cnf(s26,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f199]) ).
cnf(s30,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15 ),
inference(sat_conversion,[],[f282]) ).
cnf(s33,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_24 ),
inference(sat_conversion,[],[f313]) ).
cnf(s35,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| spl0_24 ),
inference(sat_conversion,[],[f327]) ).
cnf(s36,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f336]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f338]) ).
cnf(s41,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_24 ),
inference(sat_conversion,[],[f381]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(sat_conversion,[],[f382]) ).
cnf(s44,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_24 ),
inference(sat_conversion,[],[f385]) ).
cnf(s45,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f396]) ).
cnf(s46,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_15
| ~ spl0_24 ),
inference(sat_conversion,[],[f458]) ).
cnf(s55,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| spl0_20
| ~ spl0_24 ),
inference(sat_conversion,[],[f580]) ).
cnf(s59,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_15
| ~ spl0_20
| ~ spl0_24 ),
inference(sat_conversion,[],[f595]) ).
cnf(s61,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(sat_conversion,[],[f616]) ).
cnf(s62,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1,s22]) ).
cnf(s63,plain,
spl0_2,
inference(rat,[],[s61,s41,s4,s8,s12,s16,s20,s22]) ).
cnf(s64,plain,
spl0_3,
inference(rat,[],[s59,s46,s55,s41,s5,s9,s13,s17,s21,s63]) ).
cnf(s65,plain,
( spl0_7
| ~ spl0_5 ),
inference(rat,[],[s36,s14,s18]) ).
cnf(s66,plain,
( ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s35,s33,s26,s65,s22,s63,s64]) ).
cnf(s67,plain,
~ spl0_5,
inference(rat,[],[s36,s15,s19,s66]) ).
cnf(s68,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s45,s3,s7,s11]) ).
cnf(s69,plain,
~ spl0_4,
inference(rat,[],[s41,s2,s6,s10,s44,s26,s68,s30,s63,s22,s64]) ).
cnf(s70,plain,
spl0_1,
inference(rat,[],[s62,s67,s64,s63,s69]) ).
cnf(s71,plain,
spl0_9,
inference(rat,[],[s41,s43,s3,s7,s11,s15,s19,s70]) ).
cnf(s72,plain,
~ spl0_7,
inference(rat,[],[s37,s70,s71]) ).
cnf(s73,plain,
spl0_13,
inference(rat,[],[s18,s72]) ).
cnf(s74,plain,
spl0_12,
inference(rat,[],[s14,s72]) ).
cnf(s75,plain,
spl0_11,
inference(rat,[],[s10,s72]) ).
cnf(s76,plain,
spl0_10,
inference(rat,[],[s6,s72]) ).
cnf(s77,plain,
spl0_8,
inference(rat,[],[s2,s72]) ).
cnf(s78,plain,
~ spl0_24,
inference(rat,[],[s43,s73,s70,s74]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s41,s76,s75,s78,s77]) ).
fof(f617,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP326-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:51:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.64/1.26 % (988762)Input is clausal, will run a generic CNF schedule.
% 2.64/1.26 % (988769)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2321926876:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.64/1.26 % (988772)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3333189800:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.64/1.26 % (988768)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=982443955:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.64/1.26 % (988770)lrs+10_1_sil=8000:sp=occurrence:random_seed=4088421720:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.64/1.26 % (988773)dis-21_1_sil=8000:lcm=predicate:random_seed=2499286415: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)
% 2.64/1.26 % (988767)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=1290712731:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.64/1.26 % (988771)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2359302109:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.64/1.26 % (988773)Refutation not found, incomplete strategy
% 2.64/1.26 % (988773)------------------------------
% 2.64/1.26 % (988773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.26 % (988773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.26 % (988773)CaDiCaL version: 2.1.3
% 2.64/1.26 % (988773)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.26 % (988773)Time elapsed: 0.002 s
% 2.64/1.26 % (988773)Peak memory usage: 88 MB
% 2.64/1.26 % (988773)Instructions burned: 1 (million)
% 2.64/1.26 % (988772)First to succeed.
% 2.64/1.26 % (988772)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-988762"
% 2.64/1.26 % (988770)Instruction limit reached!
% 2.64/1.26 % (988770)------------------------------
% 2.64/1.26 % (988770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.26 % (988770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.26 % (988770)CaDiCaL version: 2.1.3
% 2.64/1.26 % (988770)Termination reason: Instruction limit
% 2.64/1.26 % (988770)Termination phase: Saturation
% 2.64/1.26 % (988770)Time elapsed: 0.058 s
% 2.64/1.26 % (988770)Peak memory usage: 89 MB
% 2.64/1.26 % (988770)Instructions burned: 109 (million)
% 2.64/1.26 % (988771)Instruction limit reached!
% 2.64/1.26 % (988771)------------------------------
% 2.64/1.26 % (988771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.26 % (988771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.26 % (988771)CaDiCaL version: 2.1.3
% 2.64/1.26 % (988771)Termination reason: Instruction limit
% 2.64/1.26 % (988771)Termination phase: Saturation
% 2.64/1.26 % (988771)Time elapsed: 0.067 s
% 2.64/1.26 % (988771)Peak memory usage: 89 MB
% 2.64/1.26 % (988771)Instructions burned: 116 (million)
% 2.64/1.26 % (988781)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=1632055293:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.64/1.26 % (988782)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3888443495: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)
% 2.64/1.26 % (988781)Refutation not found, incomplete strategy
% 2.64/1.26 % (988781)------------------------------
% 2.64/1.26 % (988781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.26 % (988781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.26 % (988781)CaDiCaL version: 2.1.3
% 2.64/1.26 % (988781)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.26 % (988781)Time elapsed: 0.014 s
% 2.64/1.26 % (988781)Peak memory usage: 88 MB
% 2.64/1.26 % (988781)Instructions burned: 20 (million)
% 2.64/1.26 % (988773)------------------------------
% 2.64/1.26 % (988773)------------------------------
% 2.64/1.26 % (988772)Refutation found. Thanks to Tanya!
% 2.64/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.64/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.35 % (988772)------------------------------
% 3.43/1.35 % (988772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.35 % (988772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.35 % (988772)CaDiCaL version: 2.1.3
% 3.43/1.35 % (988772)Termination reason: Refutation
% 3.43/1.35 % (988772)Time elapsed: 0.017 s
% 3.43/1.35 % (988772)Peak memory usage: 89 MB
% 3.43/1.35 % (988772)Instructions burned: 22 (million)
% 3.43/1.35 % (988772)------------------------------
% 3.43/1.35 % (988772)------------------------------
% 3.43/1.35 % (988762)Success in time 0.418 s
% 3.43/1.35 % Vampire exiting
%------------------------------------------------------------------------------