%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP213-1 : 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 10:13:21 AM UTC 2026
% Result : Unsatisfiable 2.68s 1.28s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 40
% Syntax : Number of formulae : 245 ( 20 unt; 16 def)
% Number of atoms : 693 ( 225 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 855 ( 407 ~; 432 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 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_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c3 = inverse(sk_c2)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c3 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(X1,X2) != sk_c8
| inverse(X1) != X2
| inverse(sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,X4) != sk_c7
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| multiply(X1,X2) != sk_c8
| inverse(X1) != X2
| sk_c7 != inverse(sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
! [X3,X0,X1,X4,X5] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c8 != multiply(X1,inverse(X1))
| sk_c7 != inverse(sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f54]) ).
fof(f56,plain,
! [X3,X0,X1,X5] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c8 != multiply(X1,inverse(X1))
| sk_c7 != inverse(sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f55]) ).
fof(f58,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f59,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f62,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl0_3
<=> sk_c7 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f65,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( sk_c7 != inverse(sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl0_4
<=> ! [X1] : sk_c8 != multiply(X1,inverse(X1)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f69,plain,
( ! [X1] : sk_c8 != multiply(X1,inverse(X1))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f72,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f56,f71,f68,f64,f61,f58]) ).
fof(f75,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f77,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_7
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f81,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f52,f79,f75]) ).
fof(f84,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f86,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f50,f79,f84]) ).
fof(f89,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f91,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f48,f79,f89]) ).
fof(f94,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f96,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f99,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f101,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f103,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f42,f79,f64]) ).
fof(f105,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f107,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f105,f75]) ).
fof(f109,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f105,f84]) ).
fof(f110,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f105,f89]) ).
fof(f113,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f105,f64]) ).
fof(f115,definition,
( spl0_13
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f117,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f115,f75]) ).
fof(f119,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f115,f84]) ).
fof(f120,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f115,f89]) ).
fof(f121,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f115,f94]) ).
fof(f122,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f115,f99]) ).
fof(f123,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f115,f64]) ).
fof(f125,definition,
( spl0_14
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f127,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f125,f75]) ).
fof(f129,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f14,f125,f84]) ).
fof(f130,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f12,f125,f89]) ).
fof(f131,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f10,f125,f94]) ).
fof(f132,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f8,f125,f99]) ).
fof(f133,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f6,f125,f64]) ).
fof(f134,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f62,f96]) ).
fof(f135,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f134]) ).
fof(f136,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f135,f101]) ).
fof(f137,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f144,definition,
( spl0_16
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f145,plain,
( sk_c8 = sk_c7
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( sk_c8 != sk_c7
| spl0_16 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f117]) ).
fof(f149,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f3,f65]) ).
fof(f159,definition,
( spl0_18
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f160,plain,
( identity = sk_c8
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f165,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_14 ),
inference(superposition,[],[f4,f127]) ).
fof(f171,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f165,f1]) ).
fof(f174,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f148]) ).
fof(f175,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f174,f1]) ).
fof(f176,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f149]) ).
fof(f177,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f176,f1]) ).
fof(f184,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f175,f127]) ).
fof(f196,plain,
( multiply(sk_c1,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f166,f184]) ).
fof(f197,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c8)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f62,f184]) ).
fof(f199,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f197]) ).
fof(f200,plain,
( sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f199,f65]) ).
fof(f201,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f196,f127]) ).
fof(f202,plain,
( ~ spl0_16
| ~ spl0_2
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f200,f125,f115,f64,f61,f144]) ).
fof(f214,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f177,f91]) ).
fof(f218,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f214,f201]) ).
fof(f231,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f91,f218]) ).
fof(f232,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f231,f184]) ).
fof(f233,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f232,f146]) ).
fof(f234,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f292,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f171,f184]) ).
fof(f298,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f171,f86]) ).
fof(f300,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f171,f107]) ).
fof(f307,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f300,f81]) ).
fof(f309,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f298,f77]) ).
fof(f312,plain,
( identity = sk_c7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f292,f3]) ).
fof(f319,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c3)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f171,f307]) ).
fof(f321,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f319,f3]) ).
fof(f325,plain,
( spl0_18
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f321,f105,f79,f159]) ).
fof(f327,plain,
( sk_c8 = sk_c7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f312,f160]) ).
fof(f329,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_18 ),
inference(superposition,[],[f1,f160]) ).
fof(f343,plain,
( spl0_16
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f327,f159,f125,f115,f144]) ).
fof(f353,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f309,f91]) ).
fof(f376,plain,
( identity = sk_c1
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f148,f329]) ).
fof(f389,plain,
( sk_c1 = sk_c7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f376,f312]) ).
fof(f399,plain,
( sk_c1 = sk_c8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f389,f145]) ).
fof(f424,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f65,f145]) ).
fof(f430,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f96,f145]) ).
fof(f466,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_11 ),
inference(superposition,[],[f69,f101]) ).
fof(f468,plain,
( sk_c8 != inverse(identity)
| ~ spl0_4 ),
inference(superposition,[],[f69,f1]) ).
fof(f470,plain,
( sk_c8 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f468,f312]) ).
fof(f472,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f466,f430]) ).
fof(f473,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f475,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f470,f145]) ).
fof(f480,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f475,f424]) ).
fof(f481,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f482,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f72,f145]) ).
fof(f486,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f482,f117]) ).
fof(f488,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f482,f101]) ).
fof(f491,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f488]) ).
fof(f493,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f486]) ).
fof(f495,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f491,f430]) ).
fof(f496,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f497,plain,
( sk_c8 != sk_c7
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f493,f127]) ).
fof(f500,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f497,f145]) ).
fof(f501,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f502,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f59,f145]) ).
fof(f514,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f502,f117]) ).
fof(f517,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f502,f77]) ).
fof(f518,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f517]) ).
fof(f521,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f514]) ).
fof(f522,plain,
( sk_c8 != multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f518,f86]) ).
fof(f524,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f521,f175]) ).
fof(f525,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f526,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f522,f91]) ).
fof(f527,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f526,f145]) ).
fof(f528,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f529,plain,
( sk_c8 != inverse(sk_c8)
| spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f66,f145]) ).
fof(f567,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f117,f399]) ).
fof(f568,plain,
( $false
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f567,f529]) ).
fof(f569,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f577,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f353,f89,f84,f75,f144]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f73]) ).
cnf(s2,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f82]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f87]) ).
cnf(s4,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f92]) ).
cnf(s7,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f103]) ).
cnf(s8,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s10,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s13,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f113]) ).
cnf(s14,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s16,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s17,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s18,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s19,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s20,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f128]) ).
cnf(s21,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s22,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f130]) ).
cnf(s23,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s24,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f132]) ).
cnf(s25,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f137]) ).
cnf(s29,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f202]) ).
cnf(s30,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f234]) ).
cnf(s35,plain,
( ~ spl0_7
| ~ spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f325]) ).
cnf(s39,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f343]) ).
cnf(s56,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f473]) ).
cnf(s59,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f481]) ).
cnf(s61,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f496]) ).
cnf(s63,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f501]) ).
cnf(s64,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f525]) ).
cnf(s65,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f528]) ).
cnf(s68,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f569]) ).
cnf(s71,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f577]) ).
cnf(s74,plain,
spl0_3,
inference(rat,[],[s68,s39,s35,s7,s13,s19,s25]) ).
cnf(s75,plain,
( spl0_6
| ~ spl0_5 ),
inference(rat,[],[s39,s35,s63,s2,s8,s14,s20]) ).
cnf(s76,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_18
| ~ spl0_5 ),
inference(rat,[],[s39,s63]) ).
cnf(s77,plain,
( spl0_14
| ~ spl0_5 ),
inference(rat,[],[s71,s61,s21,s22,s23,s24,s75]) ).
cnf(s78,plain,
( spl0_13
| ~ spl0_5 ),
inference(rat,[],[s71,s61,s15,s16,s17,s18,s75]) ).
cnf(s79,plain,
( ~ spl0_13
| ~ spl0_5
| ~ spl0_14 ),
inference(rat,[],[s35,s4,s10,s30,s63,s76,s74]) ).
cnf(s80,plain,
~ spl0_5,
inference(rat,[],[s79,s78,s77]) ).
cnf(s81,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s39,s59,s74]) ).
cnf(s82,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s71,s56,s20,s21,s22,s23,s24]) ).
cnf(s83,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s71,s56,s14,s15,s16,s17,s18]) ).
cnf(s84,plain,
( ~ spl0_13
| ~ spl0_4
| ~ spl0_14 ),
inference(rat,[],[s35,s4,s10,s30,s59,s81,s74]) ).
cnf(s85,plain,
~ spl0_4,
inference(rat,[],[s84,s83,s82]) ).
cnf(s86,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s39,s29,s74]) ).
cnf(s87,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s26,s23,s24]) ).
cnf(s88,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s26,s17,s18]) ).
cnf(s89,plain,
( ~ spl0_13
| ~ spl0_2
| ~ spl0_14 ),
inference(rat,[],[s35,s4,s10,s30,s29,s86,s74]) ).
cnf(s90,plain,
~ spl0_2,
inference(rat,[],[s89,s88,s87]) ).
cnf(s91,plain,
spl0_1,
inference(rat,[],[s1,s74,s80,s85,s90]) ).
cnf(s92,plain,
( spl0_16
| ~ spl0_13
| ~ spl0_18 ),
inference(rat,[],[s71,s20,s21,s22,s39]) ).
cnf(s93,plain,
( ~ spl0_13
| ~ spl0_18 ),
inference(rat,[],[s92,s64,s91]) ).
cnf(s94,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s65,s71,s91]) ).
cnf(s95,plain,
spl0_13,
inference(rat,[],[s94,s14,s15,s16]) ).
cnf(s97,plain,
~ spl0_18,
inference(rat,[],[s93,s95]) ).
cnf(s98,plain,
spl0_12,
inference(rat,[],[s94,s8,s9,s10]) ).
cnf(s99,plain,
~ spl0_7,
inference(rat,[],[s35,s97,s98]) ).
cnf(s102,plain,
spl0_9,
inference(rat,[],[s4,s99]) ).
cnf(s103,plain,
spl0_8,
inference(rat,[],[s3,s99]) ).
cnf(s104,plain,
spl0_6,
inference(rat,[],[s2,s99]) ).
cnf(s105,plain,
$false,
inference(rat,[],[s94,s104,s102,s103]) ).
fof(f578,plain,
$false,
inference(avatar_sat_refutation,[],[s105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP213-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:38:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.68/1.27 % (980553)Input is clausal, will run a generic CNF schedule.
% 2.68/1.27 % (980587)lrs+10_1_sil=8000:sp=occurrence:random_seed=2598089488:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.68/1.27 % (980587)Instruction limit reached!
% 2.68/1.27 % (980587)------------------------------
% 2.68/1.27 % (980587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.27 % (980587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.27 % (980587)CaDiCaL version: 2.1.3
% 2.68/1.27 % (980587)Termination reason: Instruction limit
% 2.68/1.27 % (980587)Termination phase: Saturation
% 2.68/1.27 % (980587)Time elapsed: 0.031 s
% 2.68/1.27 % (980587)Peak memory usage: 89 MB
% 2.68/1.27 % (980587)Instructions burned: 110 (million)
% 2.68/1.27 % (980585)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1300001847:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.68/1.27 % (980588)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1714155882:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.68/1.27 % (980584)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=1250793090:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.68/1.28 % (980586)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2866271646:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.68/1.28 % (980589)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1101487814:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.68/1.28 % (980590)dis-21_1_sil=8000:lcm=predicate:random_seed=765557704: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)
% 2.68/1.28 % (980590)Refutation not found, incomplete strategy
% 2.68/1.28 % (980590)------------------------------
% 2.68/1.28 % (980590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28 % (980590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28 % (980590)CaDiCaL version: 2.1.3
% 2.68/1.28 % (980590)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.28 % (980590)Time elapsed: 0.002 s
% 2.68/1.28 % (980590)Peak memory usage: 88 MB
% 2.68/1.28 % (980590)Instructions burned: 1 (million)
% 2.68/1.28 % (980589)First to succeed.
% 2.68/1.28 % (980589)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-980553"
% 2.68/1.28 % (980588)Instruction limit reached!
% 2.68/1.28 % (980588)------------------------------
% 2.68/1.28 % (980588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28 % (980588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28 % (980588)CaDiCaL version: 2.1.3
% 2.68/1.28 % (980588)Termination reason: Instruction limit
% 2.68/1.28 % (980588)Termination phase: Saturation
% 2.68/1.28 % (980588)Time elapsed: 0.067 s
% 2.68/1.28 % (980588)Peak memory usage: 89 MB
% 2.68/1.28 % (980588)Instructions burned: 116 (million)
% 2.68/1.28 % (980593)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=1720204789:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.68/1.28 % (980593)Instruction limit reached!
% 2.68/1.28 % (980593)------------------------------
% 2.68/1.28 % (980593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.28 % (980593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.28 % (980593)CaDiCaL version: 2.1.3
% 2.68/1.28 % (980593)Termination reason: Instruction limit
% 2.68/1.28 % (980593)Termination phase: Saturation
% 2.68/1.28 % (980593)Time elapsed: 0.039 s
% 2.68/1.28 % (980593)Peak memory usage: 90 MB
% 2.68/1.28 % (980593)Instructions burned: 144 (million)
% 2.68/1.28 % (980599)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1772288883: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)
% 2.68/1.28 % (980601)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3211005254:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.68/1.28 % (980590)------------------------------
% 2.68/1.28 % (980590)------------------------------
% 2.68/1.28 % (980589)Refutation found. Thanks to Tanya!
% 2.68/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.68/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.47 % (980589)------------------------------
% 3.58/1.47 % (980589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.47 % (980589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.47 % (980589)CaDiCaL version: 2.1.3
% 3.58/1.47 % (980589)Termination reason: Refutation
% 3.58/1.47 % (980589)Time elapsed: 0.015 s
% 3.58/1.47 % (980589)Peak memory usage: 89 MB
% 3.58/1.47 % (980589)Instructions burned: 21 (million)
% 3.58/1.47 % (980589)------------------------------
% 3.58/1.47 % (980589)------------------------------
% 3.58/1.47 % (980553)Success in time 0.413 s
% 3.58/1.47 % Vampire exiting
%------------------------------------------------------------------------------