%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP315-1 : 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 10:13:37 AM UTC 2026
% Result : Unsatisfiable 2.21s 1.31s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 36
% Syntax : Number of formulae : 224 ( 19 unt; 15 def)
% Number of atoms : 695 ( 202 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 918 ( 447 ~; 456 |; 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/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_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(X1,sk_c6) != sk_c5
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| inverse(X3) != sk_c6
| multiply(X3,sk_c5) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c5 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ),
inference(reorient_equations,[],[f38]) ).
fof(f41,definition,
( spl0_1
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f42,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f45,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,definition,
( spl0_3
<=> ! [X1] :
( sk_c5 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f48,plain,
( ! [X1] :
( sk_c6 != inverse(X1)
| sk_c5 != multiply(X1,sk_c6) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,definition,
( spl0_4
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f51,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7) )
| ~ 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 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f60,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f62,definition,
( spl0_7
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f64,plain,
( sk_c6 = inverse(sk_c2)
| ~ 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_c6 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f69,plain,
( sk_c6 = inverse(sk_c4)
| ~ 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 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f74,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ 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_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f79,plain,
( sk_c7 = inverse(sk_c3)
| ~ 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_c5 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f84,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ 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_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f92,plain,
( sk_c7 = 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_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f100,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ 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(f106,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f45,f74]) ).
fof(f107,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f106]) ).
fof(f108,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f107,f79]) ).
fof(f109,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f110,plain,
( sk_c7 != sk_c5
| sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f45,f84]) ).
fof(f111,plain,
( sk_c6 != sk_c7
| sk_c7 != sk_c5
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f110,f64]) ).
fof(f113,definition,
( spl0_14
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f115,plain,
( sk_c7 != sk_c5
| spl0_14 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f117,definition,
( spl0_15
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f118,plain,
( sk_c6 = sk_c7
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f111,f82,f62,f44,f117,f113]) ).
fof(f127,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_12 ),
inference(superposition,[],[f3,f92]) ).
fof(f129,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f3,f69]) ).
fof(f143,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f149,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f143,f1]) ).
fof(f152,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f127]) ).
fof(f153,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f152,f1]) ).
fof(f165,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f153,f100]) ).
fof(f230,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f149,f54]) ).
fof(f231,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_8 ),
inference(superposition,[],[f149,f129]) ).
fof(f234,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f149,f165]) ).
fof(f240,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f149,f60]) ).
fof(f242,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c5)
| ~ spl0_11 ),
inference(superposition,[],[f149,f84]) ).
fof(f248,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f242,f64]) ).
fof(f250,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f240,f69]) ).
fof(f254,plain,
( identity = sk_c6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f234,f3]) ).
fof(f258,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f149,f248]) ).
fof(f260,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f258,f3]) ).
fof(f262,plain,
( sk_c6 = sk_c5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f260,f254]) ).
fof(f266,plain,
( sk_c6 != sk_c7
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_14 ),
inference(superposition,[],[f115,f262]) ).
fof(f277,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f230,f262]) ).
fof(f278,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f277,f3]) ).
fof(f282,plain,
( sk_c6 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f278,f254]) ).
fof(f290,plain,
( ~ spl0_15
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f266,f113,f98,f90,f82,f62,f117]) ).
fof(f297,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f282,f98,f90,f82,f62,f53,f117]) ).
fof(f303,plain,
( ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c6) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f48,f262]) ).
fof(f321,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f303,f64]) ).
fof(f322,plain,
( sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f321]) ).
fof(f324,plain,
( sk_c6 != sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f322,f84]) ).
fof(f327,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f324,f262]) ).
fof(f328,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f329,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c6)
| inverse(X0) != sk_c7 )
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f51,f118]) ).
fof(f330,plain,
( ! [X0] :
( inverse(X0) != sk_c6
| sk_c6 != multiply(X0,sk_c6) )
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f329,f118]) ).
fof(f333,plain,
( sk_c6 != sk_c7
| sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f330,f79]) ).
fof(f339,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f333,f118]) ).
fof(f343,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f42,f262]) ).
fof(f347,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f343,f64]) ).
fof(f348,plain,
( sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f347]) ).
fof(f350,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f348,f84]) ).
fof(f353,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f350,f262]) ).
fof(f354,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f380,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f149,f74]) ).
fof(f381,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f74]) ).
fof(f382,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f380,f79]) ).
fof(f394,plain,
( multiply(sk_c7,sk_c4) = multiply(sk_c3,identity)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f381,f129]) ).
fof(f399,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c4)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f394,f254]) ).
fof(f403,plain,
( sk_c7 = multiply(sk_c7,sk_c4)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f399,f74]) ).
fof(f406,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f149,f382]) ).
fof(f421,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f149,f403]) ).
fof(f423,plain,
( identity = sk_c4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f421,f3]) ).
fof(f426,plain,
( sk_c6 = sk_c4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f423,f254]) ).
fof(f450,plain,
( sk_c6 != sk_c6
| sk_c5 != multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f48,f69]) ).
fof(f451,plain,
( sk_c5 != multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f450]) ).
fof(f452,plain,
( sk_c5 != multiply(sk_c6,sk_c6)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f451,f426]) ).
fof(f460,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f250,f452]) ).
fof(f461,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f465,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f42,f69]) ).
fof(f466,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f465]) ).
fof(f468,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f466,f60]) ).
fof(f469,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f471,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f149,f250]) ).
fof(f476,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f51,f92]) ).
fof(f480,plain,
( sk_c6 != multiply(sk_c1,sk_c7)
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f476]) ).
fof(f481,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f480,f100]) ).
fof(f482,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f521,plain,
( sk_c6 = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f230,f471]) ).
fof(f524,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f521,f67,f58,f53,f117]) ).
fof(f526,plain,
( sk_c6 != sk_c7
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f339,f74]) ).
fof(f527,plain,
( ~ spl0_15
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f526,f117,f77,f72,f50,f117]) ).
fof(f549,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f406,f118]) ).
fof(f552,plain,
( identity = sk_c6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f549,f3]) ).
fof(f554,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f231,f552]) ).
fof(f557,plain,
( identity = sk_c4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f554,f3]) ).
fof(f559,plain,
( sk_c6 = sk_c4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f557,f552]) ).
fof(f565,plain,
( sk_c5 != multiply(sk_c6,sk_c6)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f451,f559]) ).
fof(f568,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f565,f250]) ).
fof(f569,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f568]) ).
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,[],[f109]) ).
cnf(s20,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f120]) ).
cnf(s27,plain,
( ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f290]) ).
cnf(s30,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f297]) ).
cnf(s35,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f328]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f354]) ).
cnf(s43,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f461]) ).
cnf(s44,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f469]) ).
cnf(s45,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f482]) ).
cnf(s47,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f524]) ).
cnf(s49,plain,
( ~ spl0_15
| ~ spl0_9
| ~ spl0_10
| ~ spl0_4
| ~ spl0_15 ),
inference(sat_conversion,[],[f527]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(rat,[],[s49]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(sat_conversion,[],[f569]) ).
cnf(s53,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(rat,[],[s1,s18]) ).
cnf(s54,plain,
( spl0_6
| ~ spl0_4 ),
inference(rat,[],[s45,s10,s14]) ).
cnf(s55,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s47,s50,s15,s16,s17,s54,s18]) ).
cnf(s56,plain,
~ spl0_4,
inference(rat,[],[s47,s50,s11,s12,s13,s45,s55,s54,s18]) ).
cnf(s57,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s52,s47,s15,s16,s17,s18]) ).
cnf(s58,plain,
( spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s35,s4,s8]) ).
cnf(s59,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13 ),
inference(rat,[],[s35,s3,s7,s43]) ).
cnf(s60,plain,
( ~ spl0_12
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s59,s58,s57]) ).
cnf(s61,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(rat,[],[s47,s52,s18]) ).
cnf(s62,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s61,s11,s12,s13,s60]) ).
cnf(s63,plain,
~ spl0_3,
inference(rat,[],[s35,s2,s6,s10,s14,s62]) ).
cnf(s64,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s20,s27,s30,s4,s8,s12,s16,s18]) ).
cnf(s65,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s20,s27,s30,s5,s9,s13,s17,s19,s18]) ).
cnf(s66,plain,
~ spl0_2,
inference(rat,[],[s65,s64]) ).
cnf(s67,plain,
spl0_1,
inference(rat,[],[s53,s56,s63,s66]) ).
cnf(s69,plain,
( spl0_8
| ~ spl0_13
| ~ spl0_12 ),
inference(rat,[],[s37,s3,s7,s67]) ).
cnf(s70,plain,
( ~ spl0_13
| ~ spl0_12 ),
inference(rat,[],[s37,s2,s6,s44,s69,s67]) ).
cnf(s71,plain,
spl0_13,
inference(rat,[],[s44,s14,s15,s67]) ).
cnf(s72,plain,
~ spl0_12,
inference(rat,[],[s70,s71]) ).
cnf(s74,plain,
spl0_8,
inference(rat,[],[s11,s72]) ).
cnf(s75,plain,
spl0_6,
inference(rat,[],[s10,s72]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s44,s67,s74,s75]) ).
fof(f572,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP315-1 : 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 09:50:24 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 2.21/1.31 % (986652)Input is clausal, will run a generic CNF schedule.
% 2.21/1.31 % (986661)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=813172028:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.21/1.31 % (986658)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=423012319:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.21/1.31 % (986659)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2272745851:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.21/1.31 % (986660)lrs+10_1_sil=8000:sp=occurrence:random_seed=2419327470:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.21/1.31 % (986657)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=1878810827:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.21/1.31 % (986661)Instruction limit reached!
% 2.21/1.31 % (986661)------------------------------
% 2.21/1.31 % (986661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/1.31 % (986661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/1.31 % (986661)CaDiCaL version: 2.1.3
% 2.21/1.31 % (986661)Termination reason: Instruction limit
% 2.21/1.31 % (986661)Termination phase: Saturation
% 2.21/1.31 % (986661)Time elapsed: 0.037 s
% 2.21/1.31 % (986661)Peak memory usage: 89 MB
% 2.21/1.31 % (986661)Instructions burned: 115 (million)
% 2.21/1.31 % (986663)dis-21_1_sil=8000:lcm=predicate:random_seed=1046658361: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)
% 2.21/1.31 % (986662)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=304700402:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.21/1.31 % (986663)Refutation not found, incomplete strategy
% 2.21/1.31 % (986663)------------------------------
% 2.21/1.31 % (986663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/1.31 % (986663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/1.31 % (986663)CaDiCaL version: 2.1.3
% 2.21/1.31 % (986663)Termination reason: Refutation not found, incomplete strategy
% 2.21/1.31 % (986663)Time elapsed: 0.002 s
% 2.21/1.31 % (986663)Peak memory usage: 88 MB
% 2.21/1.31 % (986663)Instructions burned: 1 (million)
% 2.21/1.31 % (986662)First to succeed.
% 2.21/1.31 % (986662)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-986652"
% 2.21/1.31 % (986660)Instruction limit reached!
% 2.21/1.31 % (986660)------------------------------
% 2.21/1.31 % (986660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/1.31 % (986660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/1.31 % (986660)CaDiCaL version: 2.1.3
% 2.21/1.31 % (986660)Termination reason: Instruction limit
% 2.21/1.31 % (986660)Termination phase: Saturation
% 2.21/1.31 % (986660)Time elapsed: 0.054 s
% 2.21/1.31 % (986660)Peak memory usage: 89 MB
% 2.21/1.31 % (986660)Instructions burned: 108 (million)
% 2.21/1.31 % (986669)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=1382038799:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.21/1.31 % (986669)Also succeeded, but the first one will report.
% 2.21/1.31 % (986672)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1209129744: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)
% 2.21/1.31 % (986663)------------------------------
% 2.21/1.31 % (986663)------------------------------
% 2.21/1.31 % (986662)Refutation found. Thanks to Tanya!
% 2.21/1.31 % SZS status Unsatisfiable for theBenchmark
% 2.21/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50 % (986662)------------------------------
% 0.17/1.50 % (986662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (986662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (986662)CaDiCaL version: 2.1.3
% 0.17/1.50 % (986662)Termination reason: Refutation
% 0.17/1.50 % (986662)Time elapsed: 0.015 s
% 0.17/1.50 % (986662)Peak memory usage: 90 MB
% 0.17/1.50 % (986662)Instructions burned: 22 (million)
% 0.17/1.50 % (986662)------------------------------
% 0.17/1.50 % (986662)------------------------------
% 0.17/1.50 % (986652)Success in time 0.445 s
% 0.17/1.50 % Vampire exiting
%------------------------------------------------------------------------------