%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD047-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:49:11 AM UTC 2026
% Result : Unsatisfiable 10.94s 2.44s
% Output : Refutation 11.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 32
% Syntax : Number of formulae : 132 ( 39 unt; 13 def)
% Number of atoms : 290 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 302 ( 144 ~; 150 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',distributivity_1) ).
fof(f16,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
fof(f31,negated_conjecture,
~ sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).
fof(f32,negated_conjecture,
~ product(a,multiplicative_inverse(b),multiply(multiply(a,c),multiplicative_inverse(multiply(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_6) ).
fof(f33,definition,
sF0 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f34,plain,
multiplicative_inverse(b) = sF0,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF1 = multiply(a,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
multiply(a,c) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF2 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f38,plain,
multiply(b,c) = sF2,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF3 = multiplicative_inverse(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f40,plain,
multiplicative_inverse(sF2) = sF3,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF4 = multiply(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f42,plain,
multiply(sF1,sF3) = sF4,
inference(reorient_equations,[],[f41]) ).
fof(f43,plain,
~ product(a,sF0,sF4),
inference(definition_folding,[],[f32,f42,f40,f38,f36,f34]) ).
fof(f44,plain,
( product(sF0,b,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f9,f34]) ).
fof(f45,plain,
( product(sF0,b,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f44,f30]) ).
fof(f46,plain,
product(sF0,b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f45,f28]) ).
fof(f49,definition,
( spl5_1
<=> defined(sF2) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f50,plain,
( defined(sF2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f51,plain,
( ~ defined(sF2)
| spl5_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl5_2
<=> sum(additive_identity,sF2,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f54,plain,
( ~ sum(additive_identity,sF2,additive_identity)
| spl5_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( sum(additive_identity,sF2,additive_identity)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f64,plain,
( product(b,c,sF2)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f20,f38]) ).
fof(f65,plain,
( product(a,c,sF1)
| ~ defined(a)
| ~ defined(c) ),
inference(superposition,[],[f20,f36]) ).
fof(f66,plain,
( product(sF1,sF3,sF4)
| ~ defined(sF1)
| ~ defined(sF3) ),
inference(superposition,[],[f20,f42]) ).
fof(f68,definition,
( spl5_4
<=> defined(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f70,plain,
( ~ defined(sF3)
| spl5_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f72,definition,
( spl5_5
<=> defined(sF1) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f76,definition,
( spl5_6
<=> product(sF1,sF3,sF4) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f78,plain,
( product(sF1,sF3,sF4)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( ~ spl5_4
| ~ spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f66,f76,f72,f68]) ).
fof(f80,plain,
( product(a,c,sF1)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f65,f27]) ).
fof(f81,plain,
( product(b,c,sF2)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f64,f28]) ).
fof(f82,plain,
product(a,c,sF1),
inference(forward_subsumption_resolution,[],[f80,f29]) ).
fof(f83,plain,
product(b,c,sF2),
inference(forward_subsumption_resolution,[],[f81,f29]) ).
fof(f89,plain,
( ~ defined(b)
| defined(multiplicative_inverse(b)) ),
inference(resolution,[],[f18,f30]) ).
fof(f90,plain,
defined(multiplicative_inverse(b)),
inference(forward_subsumption_resolution,[],[f89,f28]) ).
fof(f92,plain,
defined(sF0),
inference(forward_demodulation,[],[f90,f34]) ).
fof(f97,plain,
( defined(sF2)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f16,f38]) ).
fof(f98,plain,
( defined(sF1)
| ~ defined(a)
| ~ defined(c) ),
inference(superposition,[],[f16,f36]) ).
fof(f100,plain,
( defined(sF1)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f98,f27]) ).
fof(f101,plain,
( ~ defined(b)
| ~ defined(c)
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f97,f51]) ).
fof(f102,plain,
defined(sF1),
inference(forward_subsumption_resolution,[],[f100,f29]) ).
fof(f103,plain,
( ~ defined(c)
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f101,f28]) ).
fof(f104,plain,
spl5_5,
inference(avatar_split_clause,[],[f102,f72]) ).
fof(f105,plain,
( $false
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f103,f29]) ).
fof(f106,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X0,X3)
| ~ product(X1,X2,multiplicative_identity)
| ~ defined(X0)
| product(X1,X3,X0) ),
inference(resolution,[],[f8,f6]) ).
fof(f133,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f4,f5]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| ~ sum(X0,X1,additive_identity)
| sum(X0,X3,X2)
| ~ defined(X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f160,plain,
! [X0] :
( ~ product(X0,b,multiplicative_identity)
| ~ defined(c)
| product(X0,sF2,c) ),
inference(resolution,[],[f127,f83]) ).
fof(f167,plain,
! [X0] :
( ~ product(X0,b,multiplicative_identity)
| product(X0,sF2,c) ),
inference(forward_subsumption_resolution,[],[f160,f29]) ).
fof(f172,plain,
product(sF0,sF2,c),
inference(resolution,[],[f167,f46]) ).
fof(f179,plain,
product(sF2,sF0,c),
inference(resolution,[],[f172,f10]) ).
fof(f181,plain,
! [X0] :
( ~ product(X0,sF2,multiplicative_identity)
| ~ defined(sF0)
| product(X0,c,sF0) ),
inference(resolution,[],[f179,f127]) ).
fof(f185,plain,
! [X0] :
( ~ product(X0,sF2,multiplicative_identity)
| product(X0,c,sF0) ),
inference(forward_subsumption_resolution,[],[f181,f92]) ).
fof(f186,plain,
( product(multiplicative_inverse(sF2),c,sF0)
| sum(additive_identity,sF2,additive_identity)
| ~ defined(sF2) ),
inference(resolution,[],[f185,f9]) ).
fof(f187,plain,
( product(multiplicative_inverse(sF2),c,sF0)
| sum(additive_identity,sF2,additive_identity)
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f186,f50]) ).
fof(f188,plain,
( product(sF3,c,sF0)
| sum(additive_identity,sF2,additive_identity)
| ~ spl5_1 ),
inference(forward_demodulation,[],[f187,f40]) ).
fof(f190,definition,
( spl5_9
<=> product(sF3,c,sF0) ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
fof(f192,plain,
( product(sF3,c,sF0)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,plain,
( spl5_2
| spl5_9
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f188,f49,f190,f53]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,additive_inverse(X0),X3)
| ~ sum(X1,X2,X0)
| ~ defined(X0)
| sum(X1,X3,additive_identity) ),
inference(resolution,[],[f133,f1]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X4,X3)
| sum(X2,X3,X4)
| ~ product(X0,X4,X2)
| ~ sum(X0,X1,multiplicative_identity)
| ~ defined(X4) ),
inference(resolution,[],[f11,f8]) ).
fof(f265,plain,
( product(c,sF3,sF0)
| ~ spl5_9 ),
inference(resolution,[],[f192,f10]) ).
fof(f351,plain,
( sum(sF2,additive_identity,additive_identity)
| ~ spl5_2 ),
inference(resolution,[],[f55,f5]) ).
fof(f371,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1)
| ~ defined(X1) ),
inference(resolution,[],[f135,f3]) ).
fof(f380,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f371]) ).
fof(f471,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| ~ defined(X1)
| sum(X0,additive_identity,additive_identity)
| ~ defined(X1) ),
inference(resolution,[],[f205,f133]) ).
fof(f475,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| ~ defined(X1)
| sum(X0,additive_identity,additive_identity) ),
inference(duplicate_literal_removal,[],[f471]) ).
fof(f527,plain,
( ! [X0] :
( sum(sF2,X0,X0)
| ~ defined(X0) )
| ~ spl5_2 ),
inference(resolution,[],[f380,f351]) ).
fof(f1129,plain,
! [X2,X0,X1] :
( sum(X0,X1,X1)
| ~ product(X2,X1,X0)
| ~ sum(X2,multiplicative_identity,multiplicative_identity)
| ~ defined(X1)
| ~ defined(X1) ),
inference(resolution,[],[f225,f8]) ).
fof(f1160,plain,
! [X2,X0,X1] :
( ~ product(X2,X1,X0)
| sum(X0,X1,X1)
| ~ sum(X2,multiplicative_identity,multiplicative_identity)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f1129]) ).
fof(f1202,plain,
( sum(c,sF0,sF0)
| ~ sum(sF2,multiplicative_identity,multiplicative_identity)
| ~ defined(sF0) ),
inference(resolution,[],[f1160,f179]) ).
fof(f1217,plain,
( sum(c,sF0,sF0)
| ~ sum(sF2,multiplicative_identity,multiplicative_identity) ),
inference(forward_subsumption_resolution,[],[f1202,f92]) ).
fof(f1254,definition,
( spl5_26
<=> sum(sF2,multiplicative_identity,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl5_26])],[avatar_definition]) ).
fof(f1256,plain,
( ~ sum(sF2,multiplicative_identity,multiplicative_identity)
| spl5_26 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f1258,definition,
( spl5_27
<=> sum(c,sF0,sF0) ),
introduced(definition,[new_symbols(definition,[spl5_27])],[avatar_definition]) ).
fof(f1260,plain,
( sum(c,sF0,sF0)
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1261,plain,
( ~ spl5_26
| spl5_27 ),
inference(avatar_split_clause,[],[f1217,f1258,f1254]) ).
fof(f2035,plain,
( ~ defined(multiplicative_identity)
| ~ spl5_2
| spl5_26 ),
inference(resolution,[],[f527,f1256]) ).
fof(f2060,plain,
( $false
| ~ spl5_2
| spl5_26 ),
inference(forward_subsumption_resolution,[],[f2035,f17]) ).
fof(f2061,plain,
( ~ spl5_2
| spl5_26 ),
inference(avatar_contradiction_clause,[],[f2060]) ).
fof(f2257,plain,
( ~ defined(sF2)
| defined(multiplicative_inverse(sF2))
| spl5_2 ),
inference(resolution,[],[f54,f18]) ).
fof(f2258,plain,
( defined(multiplicative_inverse(sF2))
| ~ spl5_1
| spl5_2 ),
inference(forward_subsumption_resolution,[],[f2257,f50]) ).
fof(f2259,plain,
( defined(sF3)
| ~ spl5_1
| spl5_2 ),
inference(forward_demodulation,[],[f2258,f40]) ).
fof(f2260,plain,
( $false
| ~ spl5_1
| spl5_2
| spl5_4 ),
inference(forward_subsumption_resolution,[],[f2259,f70]) ).
fof(f2261,plain,
( ~ spl5_1
| spl5_2
| spl5_4 ),
inference(avatar_contradiction_clause,[],[f2260]) ).
fof(f2303,plain,
( ~ defined(sF0)
| sum(c,additive_identity,additive_identity)
| ~ spl5_27 ),
inference(resolution,[],[f1260,f475]) ).
fof(f2304,plain,
( sum(c,additive_identity,additive_identity)
| ~ spl5_27 ),
inference(forward_subsumption_resolution,[],[f2303,f92]) ).
fof(f2317,plain,
( sum(additive_identity,c,additive_identity)
| ~ spl5_27 ),
inference(resolution,[],[f2304,f5]) ).
fof(f2319,plain,
( $false
| ~ spl5_27 ),
inference(forward_subsumption_resolution,[],[f2317,f31]) ).
fof(f2320,plain,
~ spl5_27,
inference(avatar_contradiction_clause,[],[f2319]) ).
fof(f2330,plain,
( ! [X2,X0,X1] :
( ~ product(X1,sF3,X2)
| ~ product(X0,X1,sF1)
| product(X0,X2,sF4) )
| ~ spl5_6 ),
inference(resolution,[],[f78,f6]) ).
fof(f2471,plain,
( ! [X0] :
( ~ product(X0,c,sF1)
| product(X0,sF0,sF4) )
| ~ spl5_6
| ~ spl5_9 ),
inference(resolution,[],[f2330,f265]) ).
fof(f2515,plain,
( product(a,sF0,sF4)
| ~ spl5_6
| ~ spl5_9 ),
inference(resolution,[],[f2471,f82]) ).
fof(f2516,plain,
( $false
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f2515,f43]) ).
fof(f2517,plain,
( ~ spl5_6
| ~ spl5_9 ),
inference(avatar_contradiction_clause,[],[f2516]) ).
cnf(s2,plain,
( ~ spl5_4
| ~ spl5_5
| spl5_6 ),
inference(sat_conversion,[],[f79]) ).
cnf(s3,plain,
spl5_5,
inference(sat_conversion,[],[f104]) ).
cnf(s4,plain,
spl5_1,
inference(sat_conversion,[],[f106]) ).
cnf(s6,plain,
( ~ spl5_1
| spl5_2
| spl5_9 ),
inference(sat_conversion,[],[f193]) ).
cnf(s17,plain,
( ~ spl5_26
| spl5_27 ),
inference(sat_conversion,[],[f1261]) ).
cnf(s46,plain,
( ~ spl5_2
| spl5_26 ),
inference(sat_conversion,[],[f2061]) ).
cnf(s47,plain,
( ~ spl5_1
| spl5_2
| spl5_4 ),
inference(sat_conversion,[],[f2261]) ).
cnf(s51,plain,
~ spl5_27,
inference(sat_conversion,[],[f2320]) ).
cnf(s56,plain,
( ~ spl5_6
| ~ spl5_9 ),
inference(sat_conversion,[],[f2517]) ).
cnf(s59,plain,
~ spl5_26,
inference(rat,[],[s17,s51]) ).
cnf(s60,plain,
~ spl5_2,
inference(rat,[],[s46,s59]) ).
cnf(s61,plain,
( ~ spl5_1
| spl5_9 ),
inference(rat,[],[s6,s60]) ).
cnf(s62,plain,
spl5_4,
inference(rat,[],[s47,s60,s4]) ).
cnf(s65,plain,
spl5_9,
inference(rat,[],[s61,s4]) ).
cnf(s67,plain,
~ spl5_6,
inference(rat,[],[s56,s65]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s2,s67,s3,s62]) ).
fof(f2518,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD047-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n014.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 00:37:46 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.27 Running first-order theorem proving
% 0.25/0.27 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
% 10.94/2.44 % (2336801)Input is clausal, will run a generic CNF schedule.
% 10.94/2.44 % (2336829)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3875516070:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.94/2.44 % (2336827)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=2041116090:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.94/2.44 % (2336830)lrs+10_1_sil=8000:sp=occurrence:random_seed=1583683931:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.94/2.44 % (2336831)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3165031292:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.94/2.44 % (2336828)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1816720615:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.94/2.44 % (2336833)dis-21_1_sil=8000:lcm=predicate:random_seed=1639065643: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)
% 10.94/2.44 % (2336832)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3375409369:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.94/2.44 % (2336830)Instruction limit reached!
% 10.94/2.44 % (2336830)------------------------------
% 10.94/2.44 % (2336830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336830)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336830)Termination reason: Instruction limit
% 10.94/2.44 % (2336830)Termination phase: Saturation
% 10.94/2.44 % (2336830)Time elapsed: 0.099 s
% 10.94/2.44 % (2336830)Peak memory usage: 89 MB
% 10.94/2.44 % (2336830)Instructions burned: 108 (million)
% 10.94/2.44 % (2336831)Instruction limit reached!
% 10.94/2.44 % (2336831)------------------------------
% 10.94/2.44 % (2336831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336831)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336831)Termination reason: Instruction limit
% 10.94/2.44 % (2336831)Termination phase: Saturation
% 10.94/2.44 % (2336831)Time elapsed: 0.106 s
% 10.94/2.44 % (2336831)Peak memory usage: 88 MB
% 10.94/2.44 % (2336831)Instructions burned: 115 (million)
% 10.94/2.44 % (2336833)Instruction limit reached!
% 10.94/2.44 % (2336833)------------------------------
% 10.94/2.44 % (2336833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336833)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336833)Termination reason: Instruction limit
% 10.94/2.44 % (2336833)Termination phase: Saturation
% 10.94/2.44 % (2336833)Time elapsed: 0.117 s
% 10.94/2.44 % (2336833)Peak memory usage: 89 MB
% 10.94/2.44 % (2336833)Instructions burned: 118 (million)
% 10.94/2.44 % (2336832)Instruction limit reached!
% 10.94/2.44 % (2336832)------------------------------
% 10.94/2.44 % (2336832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336832)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336832)Termination reason: Instruction limit
% 10.94/2.44 % (2336832)Termination phase: Saturation
% 10.94/2.44 % (2336832)Time elapsed: 0.160 s
% 10.94/2.44 % (2336832)Peak memory usage: 89 MB
% 10.94/2.44 % (2336832)Instructions burned: 180 (million)
% 10.94/2.44 % (2336845)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1917638276:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 10.94/2.44 % (2336847)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2141783614:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 10.94/2.44 % (2336844)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=3784562595:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 10.94/2.44 % (2336844)Instruction limit reached!
% 10.94/2.44 % (2336844)------------------------------
% 10.94/2.44 % (2336844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336844)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336844)Termination reason: Instruction limit
% 10.94/2.44 % (2336844)Termination phase: Saturation
% 10.94/2.44 % (2336844)Time elapsed: 0.094 s
% 10.94/2.44 % (2336844)Peak memory usage: 87 MB
% 10.94/2.44 % (2336844)Instructions burned: 144 (million)
% 10.94/2.44 % (2336848)lrs+10_64_to=lpo:sil=8000:random_seed=237912249:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.94/2.44 % (2336845)Instruction limit reached!
% 10.94/2.44 % (2336845)------------------------------
% 10.94/2.44 % (2336845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336845)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336845)Termination reason: Instruction limit
% 10.94/2.44 % (2336845)Termination phase: Saturation
% 10.94/2.44 % (2336845)Time elapsed: 0.128 s
% 10.94/2.44 % (2336845)Peak memory usage: 93 MB
% 10.94/2.44 % (2336845)Instructions burned: 190 (million)
% 10.94/2.44 % (2336848)Instruction limit reached!
% 10.94/2.44 % (2336848)------------------------------
% 10.94/2.44 % (2336848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336848)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336848)Termination reason: Instruction limit
% 10.94/2.44 % (2336848)Termination phase: Saturation
% 10.94/2.44 % (2336848)Time elapsed: 0.074 s
% 10.94/2.44 % (2336848)Peak memory usage: 90 MB
% 10.94/2.44 % (2336848)Instructions burned: 127 (million)
% 10.94/2.44 % (2336847)Instruction limit reached!
% 10.94/2.44 % (2336847)------------------------------
% 10.94/2.44 % (2336847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336847)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336847)Termination reason: Instruction limit
% 10.94/2.44 % (2336847)Termination phase: Saturation
% 10.94/2.44 % (2336847)Time elapsed: 0.191 s
% 10.94/2.44 % (2336847)Peak memory usage: 88 MB
% 10.94/2.44 % (2336847)Instructions burned: 220 (million)
% 10.94/2.44 % (2336855)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1305055653:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 10.94/2.44 % (2336856)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1607848916:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 10.94/2.44 % (2336857)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=860585221:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 10.94/2.44 % (2336858)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=2794830307:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.94/2.44 % (2336856)Instruction limit reached!
% 10.94/2.44 % (2336856)------------------------------
% 10.94/2.44 % (2336856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336856)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336856)Termination reason: Instruction limit
% 10.94/2.44 % (2336856)Termination phase: Saturation
% 10.94/2.44 % (2336856)Time elapsed: 0.108 s
% 10.94/2.44 % (2336856)Peak memory usage: 90 MB
% 10.94/2.44 % (2336856)Instructions burned: 158 (million)
% 10.94/2.44 % (2336855)Instruction limit reached!
% 10.94/2.44 % (2336855)------------------------------
% 10.94/2.44 % (2336855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336855)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336855)Termination reason: Instruction limit
% 10.94/2.44 % (2336855)Termination phase: Saturation
% 10.94/2.44 % (2336855)Time elapsed: 0.127 s
% 10.94/2.44 % (2336855)Peak memory usage: 89 MB
% 10.94/2.44 % (2336855)Instructions burned: 195 (million)
% 10.94/2.44 % (2336858)Instruction limit reached!
% 10.94/2.44 % (2336858)------------------------------
% 10.94/2.44 % (2336858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336858)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336858)Termination reason: Instruction limit
% 10.94/2.44 % (2336858)Termination phase: Saturation
% 10.94/2.44 % (2336858)Time elapsed: 0.055 s
% 10.94/2.44 % (2336858)Peak memory usage: 90 MB
% 10.94/2.44 % (2336858)Instructions burned: 107 (million)
% 10.94/2.44 % (2336864)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1223360682:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 10.94/2.44 % (2336864)Refutation not found, incomplete strategy
% 10.94/2.44 % (2336864)------------------------------
% 10.94/2.44 % (2336864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336864)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336864)Termination reason: Refutation not found, incomplete strategy
% 10.94/2.44 % (2336864)Time elapsed: 0.001 s
% 10.94/2.44 % (2336864)Peak memory usage: 87 MB
% 10.94/2.44 % (2336864)Instructions burned: 1 (million)
% 10.94/2.44 % (2336866)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=493161276:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 10.94/2.44 % (2336865)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3027930877:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 10.94/2.44 % (2336865)Instruction limit reached!
% 10.94/2.44 % (2336865)------------------------------
% 10.94/2.44 % (2336865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336865)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336865)Termination reason: Instruction limit
% 10.94/2.44 % (2336865)Termination phase: Saturation
% 10.94/2.44 % (2336865)Time elapsed: 0.148 s
% 10.94/2.44 % (2336865)Peak memory usage: 89 MB
% 10.94/2.44 % (2336865)Instructions burned: 242 (million)
% 10.94/2.44 % (2336864)------------------------------
% 10.94/2.44 % (2336864)------------------------------
% 10.94/2.44 % (2336909)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=763425925:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 10.94/2.44 % (2336827)First to succeed.
% 10.94/2.44 % (2336827)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2336801"
% 10.94/2.44 % (2336933)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=504150651:i=499:bd=all_2987 on theBenchmark for (2987ds/499Mi)
% 10.94/2.44 % (2336909)Instruction limit reached!
% 10.94/2.44 % (2336909)------------------------------
% 10.94/2.44 % (2336909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.44 % (2336909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.44 % (2336909)CaDiCaL version: 2.1.3
% 10.94/2.44 % (2336909)Termination reason: Instruction limit
% 10.94/2.44 % (2336909)Termination phase: Saturation
% 10.94/2.44 % (2336909)Time elapsed: 0.087 s
% 10.94/2.44 % (2336909)Peak memory usage: 89 MB
% 10.94/2.44 % (2336909)Instructions burned: 135 (million)
% 10.94/2.44 % (2336968)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2491868408:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 10.94/2.44 % (2336827)Refutation found. Thanks to Tanya!
% 10.94/2.44 % SZS status Unsatisfiable for theBenchmark
% 10.94/2.44 % SZS output start Proof for theBenchmark
% See solution above
% 11.83/2.62 % (2336827)------------------------------
% 11.83/2.62 % (2336827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.83/2.62 % (2336827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.83/2.62 % (2336827)CaDiCaL version: 2.1.3
% 11.83/2.62 % (2336827)Termination reason: Refutation
% 11.83/2.62 % (2336827)Time elapsed: 1.141 s
% 11.83/2.62 % (2336827)Peak memory usage: 132 MB
% 11.83/2.62 % (2336827)Instructions burned: 1382 (million)
% 11.83/2.62 % (2336827)------------------------------
% 11.83/2.62 % (2336827)------------------------------
% 11.83/2.62 % (2336801)Success in time 1.551 s
% 11.83/2.62 % Vampire exiting
%------------------------------------------------------------------------------