%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD051-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:49:13 AM UTC 2026
% Result : Unsatisfiable 17.50s 5.71s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 46
% Syntax : Number of formulae : 193 ( 72 unt; 22 def)
% Number of atoms : 399 ( 18 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 398 ( 192 ~; 193 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 14 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X6,X2)
| ~ sum(X3,X4,X5)
| sum(X0,X1,X2)
| ~ product(X3,X6,X0)
| ~ product(X4,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_1) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ product(X3,X1,X5)
| ~ product(X4,X1,X6)
| ~ sum(X5,X6,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_2) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f16,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f31,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
fof(f32,negated_conjecture,
~ sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_6) ).
fof(f33,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f34,negated_conjecture,
~ product(multiply(a,multiplicative_inverse(b)),multiplicative_inverse(multiply(c,multiplicative_inverse(d))),multiply(multiply(a,d),multiplicative_inverse(multiply(b,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_8) ).
fof(f35,definition,
sF0 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f36,plain,
multiplicative_inverse(b) = sF0,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF1 = multiply(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f38,plain,
multiply(a,sF0) = sF1,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF2 = multiplicative_inverse(d),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f40,plain,
multiplicative_inverse(d) = sF2,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF3 = multiply(c,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f42,plain,
multiply(c,sF2) = sF3,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF4 = multiplicative_inverse(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f44,plain,
multiplicative_inverse(sF3) = sF4,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF5 = multiply(a,d),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f46,plain,
multiply(a,d) = sF5,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF6 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f48,plain,
multiply(b,c) = sF6,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF7 = multiplicative_inverse(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f50,plain,
multiplicative_inverse(sF6) = sF7,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF8 = multiply(sF5,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f52,plain,
multiply(sF5,sF7) = sF8,
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
~ product(sF1,sF4,sF8),
inference(definition_folding,[],[f34,f52,f50,f48,f46,f44,f42,f40,f38,f36]) ).
fof(f54,plain,
( product(sF4,sF3,multiplicative_identity)
| sum(additive_identity,sF3,additive_identity)
| ~ defined(sF3) ),
inference(superposition,[],[f9,f44]) ).
fof(f56,definition,
( spl9_1
<=> defined(sF3) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f57,plain,
( defined(sF3)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f58,plain,
( ~ defined(sF3)
| spl9_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f60,definition,
( spl9_2
<=> sum(additive_identity,sF3,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f64,definition,
( spl9_3
<=> product(sF4,sF3,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
fof(f66,plain,
( product(sF4,sF3,multiplicative_identity)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
( ~ spl9_1
| spl9_2
| spl9_3 ),
inference(avatar_split_clause,[],[f54,f64,f60,f56]) ).
fof(f68,plain,
( product(sF0,b,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f9,f36]) ).
fof(f69,plain,
( product(sF0,b,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f68,f31]) ).
fof(f70,plain,
product(sF0,b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f69,f28]) ).
fof(f71,plain,
( product(sF2,d,multiplicative_identity)
| sum(additive_identity,d,additive_identity)
| ~ defined(d) ),
inference(superposition,[],[f9,f40]) ).
fof(f72,plain,
( product(sF2,d,multiplicative_identity)
| ~ defined(d) ),
inference(forward_subsumption_resolution,[],[f71,f33]) ).
fof(f73,plain,
product(sF2,d,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f72,f30]) ).
fof(f74,plain,
( product(sF7,sF6,multiplicative_identity)
| sum(additive_identity,sF6,additive_identity)
| ~ defined(sF6) ),
inference(superposition,[],[f9,f50]) ).
fof(f76,definition,
( spl9_4
<=> defined(sF6) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
fof(f77,plain,
( defined(sF6)
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( ~ defined(sF6)
| spl9_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,definition,
( spl9_5
<=> sum(additive_identity,sF6,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f81,plain,
( ~ sum(additive_identity,sF6,additive_identity)
| spl9_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( sum(additive_identity,sF6,additive_identity)
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,definition,
( spl9_6
<=> product(sF7,sF6,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
fof(f86,plain,
( product(sF7,sF6,multiplicative_identity)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( ~ spl9_4
| spl9_5
| spl9_6 ),
inference(avatar_split_clause,[],[f74,f84,f80,f76]) ).
fof(f88,plain,
( product(a,sF0,sF1)
| ~ defined(a)
| ~ defined(sF0) ),
inference(superposition,[],[f20,f38]) ).
fof(f89,plain,
( product(a,d,sF5)
| ~ defined(a)
| ~ defined(d) ),
inference(superposition,[],[f20,f46]) ).
fof(f90,plain,
( product(b,c,sF6)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f20,f48]) ).
fof(f91,plain,
( product(c,sF2,sF3)
| ~ defined(c)
| ~ defined(sF2) ),
inference(superposition,[],[f20,f42]) ).
fof(f92,plain,
( product(sF5,sF7,sF8)
| ~ defined(sF5)
| ~ defined(sF7) ),
inference(superposition,[],[f20,f52]) ).
fof(f94,definition,
( spl9_7
<=> defined(sF7) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
fof(f95,plain,
( defined(sF7)
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f96,plain,
( ~ defined(sF7)
| spl9_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f98,definition,
( spl9_8
<=> defined(sF5) ),
introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).
fof(f102,definition,
( spl9_9
<=> product(sF5,sF7,sF8) ),
introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition]) ).
fof(f104,plain,
( product(sF5,sF7,sF8)
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( ~ spl9_7
| ~ spl9_8
| spl9_9 ),
inference(avatar_split_clause,[],[f92,f102,f98,f94]) ).
fof(f106,plain,
( product(c,sF2,sF3)
| ~ defined(sF2) ),
inference(forward_subsumption_resolution,[],[f91,f29]) ).
fof(f107,plain,
( product(b,c,sF6)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f90,f28]) ).
fof(f108,plain,
( product(a,d,sF5)
| ~ defined(d) ),
inference(forward_subsumption_resolution,[],[f89,f27]) ).
fof(f109,plain,
( product(a,sF0,sF1)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f88,f27]) ).
fof(f111,definition,
( spl9_10
<=> defined(sF2) ),
introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition]) ).
fof(f112,plain,
( defined(sF2)
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f113,plain,
( ~ defined(sF2)
| spl9_10 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f115,definition,
( spl9_11
<=> product(c,sF2,sF3) ),
introduced(definition,[new_symbols(definition,[spl9_11])],[avatar_definition]) ).
fof(f117,plain,
( product(c,sF2,sF3)
| ~ spl9_11 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( ~ spl9_10
| spl9_11 ),
inference(avatar_split_clause,[],[f106,f115,f111]) ).
fof(f119,plain,
product(b,c,sF6),
inference(forward_subsumption_resolution,[],[f107,f29]) ).
fof(f120,plain,
product(a,d,sF5),
inference(forward_subsumption_resolution,[],[f108,f30]) ).
fof(f122,definition,
( spl9_12
<=> defined(sF0) ),
introduced(definition,[new_symbols(definition,[spl9_12])],[avatar_definition]) ).
fof(f123,plain,
( defined(sF0)
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( ~ defined(sF0)
| spl9_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f126,definition,
( spl9_13
<=> product(a,sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl9_13])],[avatar_definition]) ).
fof(f128,plain,
( product(a,sF0,sF1)
| ~ spl9_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( ~ spl9_12
| spl9_13 ),
inference(avatar_split_clause,[],[f109,f126,f122]) ).
fof(f136,plain,
( defined(sF5)
| ~ defined(a)
| ~ defined(d) ),
inference(superposition,[],[f16,f46]) ).
fof(f137,plain,
( defined(sF6)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f16,f48]) ).
fof(f138,plain,
( defined(sF3)
| ~ defined(c)
| ~ defined(sF2) ),
inference(superposition,[],[f16,f42]) ).
fof(f140,plain,
( ~ defined(b)
| ~ defined(c)
| spl9_4 ),
inference(forward_subsumption_resolution,[],[f137,f78]) ).
fof(f141,plain,
( defined(sF5)
| ~ defined(d) ),
inference(forward_subsumption_resolution,[],[f136,f27]) ).
fof(f142,plain,
( ~ defined(c)
| spl9_4 ),
inference(forward_subsumption_resolution,[],[f140,f28]) ).
fof(f143,plain,
defined(sF5),
inference(forward_subsumption_resolution,[],[f141,f30]) ).
fof(f144,plain,
( $false
| spl9_4 ),
inference(forward_subsumption_resolution,[],[f142,f29]) ).
fof(f145,plain,
spl9_4,
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f146,plain,
spl9_8,
inference(avatar_split_clause,[],[f143,f98]) ).
fof(f160,plain,
sum(additive_inverse(c),c,additive_identity),
inference(unit_resulting_resolution,[],[f4,f29]) ).
fof(f161,plain,
product(multiplicative_identity,c,c),
inference(unit_resulting_resolution,[],[f8,f29]) ).
fof(f176,plain,
product(b,sF0,multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f70]) ).
fof(f177,plain,
product(d,sF2,multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f73]) ).
fof(f179,plain,
product(c,b,sF6),
inference(unit_resulting_resolution,[],[f10,f119]) ).
fof(f180,plain,
product(d,a,sF5),
inference(unit_resulting_resolution,[],[f10,f120]) ).
fof(f181,plain,
~ product(sF4,sF1,sF8),
inference(unit_resulting_resolution,[],[f10,f53]) ).
fof(f198,plain,
defined(multiplicative_inverse(b)),
inference(unit_resulting_resolution,[],[f18,f31,f28]) ).
fof(f209,plain,
defined(sF0),
inference(forward_demodulation,[],[f198,f36]) ).
fof(f211,plain,
( $false
| spl9_12 ),
inference(forward_subsumption_resolution,[],[f209,f124]) ).
fof(f212,plain,
spl9_12,
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f215,plain,
( product(sF0,a,sF1)
| ~ spl9_13 ),
inference(unit_resulting_resolution,[],[f10,f128]) ).
fof(f218,plain,
( product(multiplicative_identity,sF0,sF0)
| ~ spl9_12 ),
inference(unit_resulting_resolution,[],[f8,f123]) ).
fof(f247,plain,
product(multiplicative_identity,d,d),
inference(unit_resulting_resolution,[],[f8,f30]) ).
fof(f261,plain,
defined(multiplicative_inverse(d)),
inference(unit_resulting_resolution,[],[f18,f33,f30]) ).
fof(f276,plain,
defined(sF2),
inference(forward_demodulation,[],[f261,f40]) ).
fof(f278,plain,
( $false
| spl9_10 ),
inference(forward_subsumption_resolution,[],[f276,f113]) ).
fof(f279,plain,
spl9_10,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f280,plain,
( ~ defined(c)
| ~ defined(sF2)
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f138,f58]) ).
fof(f281,plain,
( ~ defined(sF2)
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f280,f29]) ).
fof(f282,plain,
( $false
| spl9_1
| ~ spl9_10 ),
inference(forward_subsumption_resolution,[],[f281,f112]) ).
fof(f283,plain,
( spl9_1
| ~ spl9_10 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f284,plain,
( product(sF2,c,sF3)
| ~ spl9_11 ),
inference(unit_resulting_resolution,[],[f10,f117]) ).
fof(f333,plain,
( sum(additive_identity,sF3,sF3)
| ~ spl9_1 ),
inference(unit_resulting_resolution,[],[f3,f57]) ).
fof(f373,plain,
( sum(additive_identity,sF6,sF6)
| ~ spl9_4 ),
inference(unit_resulting_resolution,[],[f3,f77]) ).
fof(f414,plain,
( product(sF0,multiplicative_identity,sF0)
| ~ spl9_12 ),
inference(unit_resulting_resolution,[],[f6,f176,f70,f218]) ).
fof(f428,plain,
( product(d,sF3,c)
| ~ spl9_11 ),
inference(unit_resulting_resolution,[],[f6,f284,f177,f161]) ).
fof(f429,plain,
product(sF0,sF6,c),
inference(unit_resulting_resolution,[],[f6,f119,f70,f161]) ).
fof(f437,plain,
product(sF6,sF0,c),
inference(unit_resulting_resolution,[],[f10,f429]) ).
fof(f438,plain,
product(sF6,multiplicative_identity,sF6),
inference(unit_resulting_resolution,[],[f6,f179,f70,f437]) ).
fof(f452,plain,
( product(sF3,d,c)
| ~ spl9_11 ),
inference(unit_resulting_resolution,[],[f10,f428]) ).
fof(f482,plain,
( product(sF4,c,d)
| ~ spl9_3
| ~ spl9_11 ),
inference(unit_resulting_resolution,[],[f6,f452,f66,f247]) ).
fof(f647,plain,
product(multiplicative_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f8,f14]) ).
fof(f702,plain,
product(d,additive_identity,multiply(d,additive_identity)),
inference(unit_resulting_resolution,[],[f20,f30,f14]) ).
fof(f845,plain,
( sum(sF6,additive_identity,additive_identity)
| ~ spl9_5 ),
inference(unit_resulting_resolution,[],[f5,f82]) ).
fof(f913,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f10,f647]) ).
fof(f942,plain,
( sum(sF6,additive_identity,sF6)
| ~ spl9_4
| ~ spl9_5 ),
inference(unit_resulting_resolution,[],[f1,f82,f845,f373]) ).
fof(f1307,plain,
~ sum(c,c,c),
inference(unit_resulting_resolution,[],[f2,f32,f160,f160]) ).
fof(f1423,plain,
( product(sF6,multiplicative_identity,additive_identity)
| ~ spl9_4
| ~ spl9_5 ),
inference(unit_resulting_resolution,[],[f12,f82,f438,f373,f913]) ).
fof(f1445,plain,
( product(additive_identity,sF0,c)
| ~ spl9_4
| ~ spl9_5
| ~ spl9_12 ),
inference(unit_resulting_resolution,[],[f7,f437,f218,f1423]) ).
fof(f1715,plain,
( sum(c,c,c)
| ~ spl9_4
| ~ spl9_5
| ~ spl9_12 ),
inference(unit_resulting_resolution,[],[f11,f437,f437,f942,f1445]) ).
fof(f1734,plain,
( $false
| ~ spl9_4
| ~ spl9_5
| ~ spl9_12 ),
inference(forward_subsumption_resolution,[],[f1715,f1307]) ).
fof(f1735,plain,
( ~ spl9_4
| ~ spl9_5
| ~ spl9_12 ),
inference(avatar_contradiction_clause,[],[f1734]) ).
fof(f1740,plain,
( product(sF6,sF7,multiplicative_identity)
| ~ spl9_6 ),
inference(unit_resulting_resolution,[],[f10,f86]) ).
fof(f1745,plain,
( product(c,sF7,sF0)
| ~ spl9_6
| ~ spl9_12 ),
inference(unit_resulting_resolution,[],[f7,f414,f429,f1740]) ).
fof(f2469,plain,
( ~ product(additive_identity,d,c)
| ~ spl9_1
| ~ spl9_11 ),
inference(unit_resulting_resolution,[],[f11,f333,f452,f452,f1307]) ).
fof(f4329,plain,
product(additive_identity,d,multiply(d,additive_identity)),
inference(unit_resulting_resolution,[],[f10,f702]) ).
fof(f4371,plain,
( sum(multiply(d,additive_identity),c,c)
| ~ spl9_1
| ~ spl9_11 ),
inference(unit_resulting_resolution,[],[f11,f452,f452,f333,f4329]) ).
fof(f4738,plain,
( defined(multiplicative_inverse(sF6))
| ~ spl9_4
| spl9_5 ),
inference(unit_resulting_resolution,[],[f18,f77,f81]) ).
fof(f4785,plain,
( defined(sF7)
| ~ spl9_4
| spl9_5 ),
inference(forward_demodulation,[],[f4738,f50]) ).
fof(f4787,plain,
( $false
| ~ spl9_4
| spl9_5
| spl9_7 ),
inference(forward_subsumption_resolution,[],[f4785,f96]) ).
fof(f4788,plain,
( ~ spl9_4
| spl9_5
| spl9_7 ),
inference(avatar_contradiction_clause,[],[f4787]) ).
fof(f4882,plain,
( product(sF7,a,multiply(sF7,a))
| ~ spl9_7 ),
inference(unit_resulting_resolution,[],[f20,f27,f95]) ).
fof(f5426,plain,
( ~ sum(additive_identity,sF3,additive_identity)
| ~ spl9_1
| ~ spl9_11 ),
inference(unit_resulting_resolution,[],[f12,f452,f4371,f4329,f2469]) ).
fof(f5449,plain,
( ~ spl9_2
| ~ spl9_1
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f5426,f115,f56,f60]) ).
fof(f7335,plain,
( product(c,multiply(sF7,a),sF1)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_12
| ~ spl9_13 ),
inference(unit_resulting_resolution,[],[f6,f215,f1745,f4882]) ).
fof(f7347,plain,
( product(a,sF7,multiply(sF7,a))
| ~ spl9_7 ),
inference(unit_resulting_resolution,[],[f10,f4882]) ).
fof(f7353,plain,
( product(d,multiply(sF7,a),sF8)
| ~ spl9_7
| ~ spl9_9 ),
inference(unit_resulting_resolution,[],[f6,f104,f180,f7347]) ).
fof(f7370,plain,
( ~ product(c,multiply(sF7,a),sF1)
| ~ spl9_3
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11 ),
inference(unit_resulting_resolution,[],[f6,f181,f482,f7353]) ).
fof(f7376,plain,
( $false
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11
| ~ spl9_12
| ~ spl9_13 ),
inference(forward_subsumption_resolution,[],[f7370,f7335]) ).
fof(f7377,plain,
( ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11
| ~ spl9_12
| ~ spl9_13 ),
inference(avatar_contradiction_clause,[],[f7376]) ).
cnf(s45,plain,
( ~ spl9_1
| spl9_2
| spl9_3 ),
inference(sat_conversion,[],[f67]) ).
cnf(s50,plain,
( ~ spl9_4
| spl9_5
| spl9_6 ),
inference(sat_conversion,[],[f87]) ).
cnf(s53,plain,
( ~ spl9_7
| ~ spl9_8
| spl9_9 ),
inference(sat_conversion,[],[f105]) ).
cnf(s55,plain,
( ~ spl9_10
| spl9_11 ),
inference(sat_conversion,[],[f118]) ).
cnf(s57,plain,
( ~ spl9_12
| spl9_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s67,plain,
spl9_4,
inference(sat_conversion,[],[f145]) ).
cnf(s69,plain,
spl9_8,
inference(sat_conversion,[],[f146]) ).
cnf(s119,plain,
spl9_12,
inference(sat_conversion,[],[f212]) ).
cnf(s169,plain,
spl9_10,
inference(sat_conversion,[],[f279]) ).
cnf(s172,plain,
( spl9_1
| ~ spl9_10 ),
inference(sat_conversion,[],[f283]) ).
cnf(s625,plain,
( ~ spl9_4
| ~ spl9_5
| ~ spl9_12 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s2245,plain,
( ~ spl9_4
| spl9_5
| spl9_7 ),
inference(sat_conversion,[],[f4788]) ).
cnf(s2628,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_11 ),
inference(sat_conversion,[],[f5449]) ).
cnf(s3818,plain,
( ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11
| ~ spl9_12
| ~ spl9_13 ),
inference(sat_conversion,[],[f7377]) ).
cnf(s3820,plain,
spl9_1,
inference(rat,[],[s172,s169]) ).
cnf(s3821,plain,
~ spl9_5,
inference(rat,[],[s625,s119,s67]) ).
cnf(s3822,plain,
spl9_7,
inference(rat,[],[s2245,s67,s3821]) ).
cnf(s3823,plain,
spl9_13,
inference(rat,[],[s57,s119]) ).
cnf(s3824,plain,
spl9_11,
inference(rat,[],[s55,s169]) ).
cnf(s3825,plain,
~ spl9_2,
inference(rat,[],[s2628,s3820,s3824]) ).
cnf(s3826,plain,
spl9_9,
inference(rat,[],[s53,s69,s3822]) ).
cnf(s3827,plain,
spl9_6,
inference(rat,[],[s50,s3821,s67]) ).
cnf(s3828,plain,
~ spl9_3,
inference(rat,[],[s3818,s3823,s119,s3824,s3826,s3822,s3827]) ).
cnf(s3829,plain,
$false,
inference(rat,[],[s45,s3828,s3825,s3820]) ).
fof(f7378,plain,
$false,
inference(avatar_sat_refutation,[],[s3829]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD051-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 00:37:56 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.72/2.16 % (3022156)Input is clausal, will run a generic CNF schedule.
% 10.72/2.16 % (3022161)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=2590973767:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.72/2.16 % (3022162)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3607507521:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.72/2.16 % (3022166)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=707766905:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.72/2.16 % (3022164)lrs+10_1_sil=8000:sp=occurrence:random_seed=165253638:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.72/2.16 % (3022163)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3312090044:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.72/2.16 % (3022165)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1558584513:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.72/2.16 % (3022167)dis-21_1_sil=8000:lcm=predicate:random_seed=126598380: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)
% 10.72/2.16 % (3022165)Instruction limit reached!
% 10.72/2.16 % (3022165)------------------------------
% 10.72/2.16 % (3022165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.16 % (3022165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.16 % (3022165)CaDiCaL version: 2.1.3
% 10.72/2.16 % (3022165)Termination reason: Instruction limit
% 10.72/2.16 % (3022165)Termination phase: Saturation
% 10.72/2.16 % (3022165)Time elapsed: 0.063 s
% 10.72/2.16 % (3022165)Peak memory usage: 88 MB
% 10.72/2.16 % (3022165)Instructions burned: 114 (million)
% 10.72/2.16 % (3022164)Instruction limit reached!
% 10.72/2.16 % (3022164)------------------------------
% 10.72/2.16 % (3022164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.16 % (3022164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.16 % (3022164)CaDiCaL version: 2.1.3
% 10.72/2.16 % (3022164)Termination reason: Instruction limit
% 10.72/2.16 % (3022164)Termination phase: Saturation
% 10.72/2.16 % (3022164)Time elapsed: 0.067 s
% 10.72/2.16 % (3022164)Peak memory usage: 89 MB
% 10.72/2.16 % (3022164)Instructions burned: 108 (million)
% 10.72/2.16 % (3022167)Instruction limit reached!
% 10.72/2.16 % (3022167)------------------------------
% 10.72/2.16 % (3022167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.16 % (3022167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.16 % (3022167)CaDiCaL version: 2.1.3
% 10.72/2.16 % (3022167)Termination reason: Instruction limit
% 10.72/2.16 % (3022167)Termination phase: Saturation
% 10.72/2.16 % (3022167)Time elapsed: 0.074 s
% 10.72/2.16 % (3022167)Peak memory usage: 89 MB
% 10.72/2.16 % (3022167)Instructions burned: 118 (million)
% 10.72/2.16 % (3022166)Instruction limit reached!
% 10.72/2.16 % (3022166)------------------------------
% 10.72/2.16 % (3022166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.16 % (3022166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.16 % (3022166)CaDiCaL version: 2.1.3
% 10.72/2.16 % (3022166)Termination reason: Instruction limit
% 10.72/2.16 % (3022166)Termination phase: Saturation
% 10.72/2.16 % (3022166)Time elapsed: 0.107 s
% 10.72/2.16 % (3022166)Peak memory usage: 89 MB
% 10.72/2.16 % (3022166)Instructions burned: 180 (million)
% 10.72/2.16 % (3022176)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1179207542: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)
% 10.72/2.16 % (3022175)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=3935985194:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.72/2.16 % (3022177)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3879794356:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.72/2.16 % (3022178)lrs+10_64_to=lpo:sil=8000:random_seed=2894182771:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.72/2.16 % (3022175)Instruction limit reached!
% 21.00/3.63 % (3022175)------------------------------
% 21.00/3.63 % (3022175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.63 % (3022175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.63 % (3022175)CaDiCaL version: 2.1.3
% 21.00/3.63 % (3022175)Termination reason: Instruction limit
% 21.00/3.63 % (3022175)Termination phase: Saturation
% 21.00/3.63 % (3022175)Time elapsed: 0.057 s
% 21.00/3.63 % (3022175)Peak memory usage: 88 MB
% 21.00/3.63 % (3022175)Instructions burned: 145 (million)
% 21.00/3.63 % (3022176)Instruction limit reached!
% 21.00/3.63 % (3022176)------------------------------
% 21.00/3.63 % (3022176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.63 % (3022176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.63 % (3022176)CaDiCaL version: 2.1.3
% 21.00/3.63 % (3022176)Termination reason: Instruction limit
% 21.00/3.63 % (3022176)Termination phase: Saturation
% 21.00/3.63 % (3022176)Time elapsed: 0.095 s
% 21.00/3.63 % (3022176)Peak memory usage: 93 MB
% 21.00/3.63 % (3022176)Instructions burned: 189 (million)
% 21.00/3.63 % (3022178)Instruction limit reached!
% 21.00/3.63 % (3022178)------------------------------
% 21.00/3.63 % (3022178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.63 % (3022178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.63 % (3022178)CaDiCaL version: 2.1.3
% 21.00/3.63 % (3022178)Termination reason: Instruction limit
% 21.00/3.63 % (3022178)Termination phase: Saturation
% 21.00/3.63 % (3022178)Time elapsed: 0.070 s
% 21.00/3.63 % (3022178)Peak memory usage: 90 MB
% 21.00/3.63 % (3022178)Instructions burned: 126 (million)
% 21.00/3.63 % (3022177)Instruction limit reached!
% 21.00/3.63 % (3022177)------------------------------
% 21.00/3.63 % (3022177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.63 % (3022177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.63 % (3022177)CaDiCaL version: 2.1.3
% 21.00/3.63 % (3022177)Termination reason: Instruction limit
% 21.00/3.63 % (3022177)Termination phase: Saturation
% 21.00/3.63 % (3022177)Time elapsed: 0.129 s
% 21.00/3.63 % (3022177)Peak memory usage: 89 MB
% 21.00/3.63 % (3022177)Instructions burned: 220 (million)
% 21.00/3.63 % (3022183)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2610399749:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 21.00/3.63 % (3022184)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2206966969:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 21.00/3.63 % (3022185)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4012361938:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 21.00/3.63 % (3022186)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3579248938:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 21.00/3.63 % (3022183)Instruction limit reached!
% 21.00/3.63 % (3022183)------------------------------
% 21.00/3.63 % (3022183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.63 % (3022183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.63 % (3022183)CaDiCaL version: 2.1.3
% 21.00/3.63 % (3022183)Termination reason: Instruction limit
% 21.00/3.63 % (3022183)Termination phase: Saturation
% 21.00/3.63 % (3022183)Time elapsed: 0.124 s
% 21.00/3.63 % (3022183)Peak memory usage: 89 MB
% 21.00/3.63 % (3022183)Instructions burned: 195 (million)
% 21.00/3.63 % (3022186)Instruction limit reached!
% 21.00/3.63 % (3022186)------------------------------
% 21.00/3.63 % (3022186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.63 % (3022186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.63 % (3022186)CaDiCaL version: 2.1.3
% 21.00/3.63 % (3022186)Termination reason: Instruction limit
% 21.00/3.63 % (3022186)Termination phase: Saturation
% 21.00/3.63 % (3022186)Time elapsed: 0.054 s
% 21.00/3.63 % (3022186)Peak memory usage: 90 MB
% 21.00/3.63 % (3022186)Instructions burned: 107 (million)
% 21.00/3.63 % (3022184)Instruction limit reached!
% 21.00/3.63 % (3022184)------------------------------
% 21.00/3.63 % (3022184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.00/3.63 % (3022184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.00/3.63 % (3022184)CaDiCaL version: 2.1.3
% 32.99/5.33 % (3022184)Termination reason: Instruction limit
% 32.99/5.33 % (3022184)Termination phase: Saturation
% 32.99/5.33 % (3022184)Time elapsed: 0.107 s
% 32.99/5.33 % (3022184)Peak memory usage: 90 MB
% 32.99/5.33 % (3022184)Instructions burned: 158 (million)
% 32.99/5.33 % (3022191)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2376304646:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 32.99/5.33 % (3022191)Refutation not found, incomplete strategy
% 32.99/5.33 % (3022191)------------------------------
% 32.99/5.33 % (3022191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.99/5.33 % (3022191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.99/5.33 % (3022191)CaDiCaL version: 2.1.3
% 32.99/5.33 % (3022191)Termination reason: Refutation not found, incomplete strategy
% 32.99/5.33 % (3022191)Time elapsed: 0.001 s
% 32.99/5.33 % (3022191)Peak memory usage: 87 MB
% 32.99/5.33 % (3022191)Instructions burned: 1 (million)
% 32.99/5.33 % (3022192)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1529187588:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 32.99/5.33 % (3022193)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3577492958:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 32.99/5.33 % (3022192)Instruction limit reached!
% 32.99/5.33 % (3022192)------------------------------
% 32.99/5.33 % (3022192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.99/5.33 % (3022192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.99/5.33 % (3022192)CaDiCaL version: 2.1.3
% 32.99/5.33 % (3022192)Termination reason: Instruction limit
% 32.99/5.33 % (3022192)Termination phase: Saturation
% 32.99/5.33 % (3022192)Time elapsed: 0.154 s
% 32.99/5.33 % (3022192)Peak memory usage: 89 MB
% 32.99/5.33 % (3022192)Instructions burned: 242 (million)
% 32.99/5.33 % (3022191)------------------------------
% 32.99/5.33 % (3022191)------------------------------
% 32.99/5.33 % (3022197)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2930541643:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 32.99/5.33 % (3022198)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2719786200:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 32.99/5.33 % (3022197)Instruction limit reached!
% 32.99/5.33 % (3022197)------------------------------
% 32.99/5.33 % (3022197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.99/5.33 % (3022197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.99/5.33 % (3022197)CaDiCaL version: 2.1.3
% 32.99/5.33 % (3022197)Termination reason: Instruction limit
% 32.99/5.33 % (3022197)Termination phase: Saturation
% 32.99/5.33 % (3022197)Time elapsed: 0.088 s
% 32.99/5.33 % (3022197)Peak memory usage: 89 MB
% 32.99/5.33 % (3022197)Instructions burned: 134 (million)
% 32.99/5.33 % (3022201)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2304506464:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 32.99/5.33 % (3022198)Instruction limit reached!
% 32.99/5.33 % (3022198)------------------------------
% 32.99/5.33 % (3022198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.99/5.33 % (3022198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.99/5.33 % (3022198)CaDiCaL version: 2.1.3
% 32.99/5.33 % (3022198)Termination reason: Instruction limit
% 32.99/5.33 % (3022198)Termination phase: Saturation
% 32.99/5.33 % (3022198)Time elapsed: 0.254 s
% 32.99/5.33 % (3022198)Peak memory usage: 105 MB
% 32.99/5.33 % (3022198)Instructions burned: 499 (million)
% 32.99/5.33 % (3022201)Instruction limit reached!
% 32.99/5.33 % (3022201)------------------------------
% 32.99/5.33 % (3022201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.99/5.33 % (3022201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.99/5.33 % (3022201)CaDiCaL version: 2.1.3
% 32.99/5.33 % (3022201)Termination reason: Instruction limit
% 32.99/5.33 % (3022201)Termination phase: Saturation
% 32.99/5.33 % (3022201)Time elapsed: 0.111 s
% 32.99/5.33 % (3022201)Peak memory usage: 92 MB
% 32.99/5.33 % (3022201)Instructions burned: 192 (million)
% 32.99/5.33 % (3022203)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3035004425:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 17.50/5.71 % (3022204)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3201509466:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 17.50/5.71 % (3022204)Instruction limit reached!
% 17.50/5.71 % (3022204)------------------------------
% 17.50/5.71 % (3022204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022204)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022204)Termination reason: Instruction limit
% 17.50/5.71 % (3022204)Termination phase: Saturation
% 17.50/5.71 % (3022204)Time elapsed: 0.067 s
% 17.50/5.71 % (3022204)Peak memory usage: 88 MB
% 17.50/5.71 % (3022204)Instructions burned: 158 (million)
% 17.50/5.71 % (3022203)Instruction limit reached!
% 17.50/5.71 % (3022203)------------------------------
% 17.50/5.71 % (3022203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022203)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022203)Termination reason: Instruction limit
% 17.50/5.71 % (3022203)Termination phase: Saturation
% 17.50/5.71 % (3022203)Time elapsed: 0.160 s
% 17.50/5.71 % (3022203)Peak memory usage: 89 MB
% 17.50/5.71 % (3022203)Instructions burned: 264 (million)
% 17.50/5.71 % (3022207)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3196442118:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 17.50/5.71 % (3022208)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3781225955:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 17.50/5.71 % (3022208)Instruction limit reached!
% 17.50/5.71 % (3022208)------------------------------
% 17.50/5.71 % (3022208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022208)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022208)Termination reason: Instruction limit
% 17.50/5.71 % (3022208)Termination phase: Saturation
% 17.50/5.71 % (3022208)Time elapsed: 0.270 s
% 17.50/5.71 % (3022208)Peak memory usage: 91 MB
% 17.50/5.71 % (3022208)Instructions burned: 538 (million)
% 17.50/5.71 % (3022211)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=4223829470:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 17.50/5.71 % (3022211)Instruction limit reached!
% 17.50/5.71 % (3022211)------------------------------
% 17.50/5.71 % (3022211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022211)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022211)Termination reason: Instruction limit
% 17.50/5.71 % (3022211)Termination phase: Saturation
% 17.50/5.71 % (3022211)Time elapsed: 0.090 s
% 17.50/5.71 % (3022211)Peak memory usage: 93 MB
% 17.50/5.71 % (3022211)Instructions burned: 181 (million)
% 17.50/5.71 % (3022213)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3443647424:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2976 on theBenchmark for (2976ds/10307Mi)
% 17.50/5.71 % (3022185)Instruction limit reached!
% 17.50/5.71 % (3022185)------------------------------
% 17.50/5.71 % (3022185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022185)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022185)Termination reason: Instruction limit
% 17.50/5.71 % (3022185)Termination phase: Saturation
% 17.50/5.71 % (3022185)Time elapsed: 2.075 s
% 17.50/5.71 % (3022185)Peak memory usage: 149 MB
% 17.50/5.71 % (3022185)Instructions burned: 3396 (million)
% 17.50/5.71 % (3022215)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=249285348:i=412:gtgl=4:gtg=exists_all_2973 on theBenchmark for (2973ds/412Mi)
% 17.50/5.71 % (3022215)Instruction limit reached!
% 17.50/5.71 % (3022215)------------------------------
% 17.50/5.71 % (3022215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022215)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022215)Termination reason: Instruction limit
% 17.50/5.71 % (3022215)Termination phase: Saturation
% 17.50/5.71 % (3022215)Time elapsed: 0.185 s
% 17.50/5.71 % (3022215)Peak memory usage: 91 MB
% 17.50/5.71 % (3022215)Instructions burned: 412 (million)
% 17.50/5.71 % (3022217)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=3243190780:s2pl=no:i=8478:s2at=4:nm=6_2970 on theBenchmark for (2970ds/8478Mi)
% 17.50/5.71 % (3022207)Instruction limit reached!
% 17.50/5.71 % (3022207)------------------------------
% 17.50/5.71 % (3022207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022207)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022207)Termination reason: Instruction limit
% 17.50/5.71 % (3022207)Termination phase: Saturation
% 17.50/5.71 % (3022207)Time elapsed: 1.839 s
% 17.50/5.71 % (3022207)Peak memory usage: 150 MB
% 17.50/5.71 % (3022207)Instructions burned: 3256 (million)
% 17.50/5.71 % (3022219)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=2134290735:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2964 on theBenchmark for (2964ds/303Mi)
% 17.50/5.71 % (3022219)Instruction limit reached!
% 17.50/5.71 % (3022219)------------------------------
% 17.50/5.71 % (3022219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022219)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022219)Termination reason: Instruction limit
% 17.50/5.71 % (3022219)Termination phase: Saturation
% 17.50/5.71 % (3022219)Time elapsed: 0.140 s
% 17.50/5.71 % (3022219)Peak memory usage: 92 MB
% 17.50/5.71 % (3022219)Instructions burned: 303 (million)
% 17.50/5.71 % (3022221)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3430092676:st=4:i=720:sd=3:fsr=off:ss=axioms_2961 on theBenchmark for (2961ds/720Mi)
% 17.50/5.71 % (3022193)Instruction limit reached!
% 17.50/5.71 % (3022193)------------------------------
% 17.50/5.71 % (3022193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022193)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022193)Termination reason: Instruction limit
% 17.50/5.71 % (3022193)Termination phase: Saturation
% 17.50/5.71 % (3022193)Time elapsed: 3.284 s
% 17.50/5.71 % (3022193)Peak memory usage: 156 MB
% 17.50/5.71 % (3022193)Instructions burned: 5209 (million)
% 17.50/5.71 % (3022223)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2219266042:i=598:bs=on:bd=preordered:av=off:ss=axioms_2959 on theBenchmark for (2959ds/598Mi)
% 17.50/5.71 % (3022221)Instruction limit reached!
% 17.50/5.71 % (3022221)------------------------------
% 17.50/5.71 % (3022221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022221)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022221)Termination reason: Instruction limit
% 17.50/5.71 % (3022221)Termination phase: Saturation
% 17.50/5.71 % (3022221)Time elapsed: 0.407 s
% 17.50/5.71 % (3022221)Peak memory usage: 105 MB
% 17.50/5.71 % (3022221)Instructions burned: 721 (million)
% 17.50/5.71 % (3022225)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=279662858:i=2989:sd=3:ss=axioms:sgt=60_2956 on theBenchmark for (2956ds/2989Mi)
% 17.50/5.71 % (3022223)Instruction limit reached!
% 17.50/5.71 % (3022223)------------------------------
% 17.50/5.71 % (3022223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/5.71 % (3022223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/5.71 % (3022223)CaDiCaL version: 2.1.3
% 17.50/5.71 % (3022223)Termination reason: Instruction limit
% 17.50/5.71 % (3022223)Termination phase: Saturation
% 17.50/5.71 % (3022223)Time elapsed: 0.318 s
% 17.50/5.71 % (3022223)Peak memory usage: 98 MB
% 17.50/5.71 % (3022223)Instructions burned: 599 (million)
% 17.50/5.71 % (3022227)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=3036644438:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2954 on theBenchmark for (2954ds/1997Mi)
% 17.50/5.71 % (3022217)First to succeed.
% 17.50/5.71 % (3022217)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3022156"
% 17.50/5.71 % (3022217)Refutation found. Thanks to Tanya!
% 17.50/5.71 % SZS status Unsatisfiable for theBenchmark
% 17.50/5.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/5.90 % (3022217)------------------------------
% 0.19/5.90 % (3022217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/5.90 % (3022217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/5.90 % (3022217)CaDiCaL version: 2.1.3
% 0.19/5.90 % (3022217)Termination reason: Refutation
% 0.19/5.90 % (3022217)Time elapsed: 1.648 s
% 0.19/5.90 % (3022217)Peak memory usage: 143 MB
% 0.19/5.90 % (3022217)Instructions burned: 2828 (million)
% 0.19/5.90 % (3022217)------------------------------
% 0.19/5.90 % (3022217)------------------------------
% 0.19/5.90 % (3022156)Success in time 5.057 s
% 0.19/5.90 % Vampire exiting
%------------------------------------------------------------------------------