%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD079-4 : 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 : n011.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 09:49:24 AM UTC 2026
% Result : Unsatisfiable 5.86s 2.14s
% Output : Refutation 11.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of formulae : 100 ( 26 unt; 5 def)
% Number of atoms : 285 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 373 ( 188 ~; 181 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 130 !; 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(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
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(f13,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_addition) ).
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(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2)
| less_or_equal(additive_identity,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_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(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_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,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f32,negated_conjecture,
product(a,multiplicative_inverse(b),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
less_or_equal(u,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_7) ).
fof(f34,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_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,plain,
product(a,sF0,u),
inference(definition_folding,[],[f32,f36]) ).
fof(f38,plain,
product(sF0,a,u),
inference(resolution,[],[f10,f37]) ).
fof(f48,plain,
( product(sF0,b,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f9,f36]) ).
fof(f49,plain,
( product(sF0,b,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f48,f30]) ).
fof(f50,plain,
product(sF0,b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f49,f28]) ).
fof(f51,plain,
product(b,sF0,multiplicative_identity),
inference(resolution,[],[f50,f10]) ).
fof(f54,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(f85,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(f217,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f4,f5]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,X2,X3)
| ~ product(X0,X1,multiplicative_identity)
| product(X0,X3,X2)
| ~ defined(X2) ),
inference(resolution,[],[f6,f8]) ).
fof(f310,plain,
! [X0] :
( ~ product(X0,sF0,multiplicative_identity)
| product(X0,u,a)
| ~ defined(a) ),
inference(resolution,[],[f287,f38]) ).
fof(f315,plain,
! [X0] :
( ~ product(X0,sF0,multiplicative_identity)
| product(X0,u,a) ),
inference(forward_subsumption_resolution,[],[f310,f27]) ).
fof(f319,plain,
product(b,u,a),
inference(resolution,[],[f315,f51]) ).
fof(f332,plain,
product(u,b,a),
inference(resolution,[],[f319,f10]) ).
fof(f345,plain,
! [X0,X1] :
( sum(X0,a,b)
| ~ product(X1,b,X0)
| ~ sum(X1,u,multiplicative_identity)
| ~ defined(b) ),
inference(resolution,[],[f332,f85]) ).
fof(f350,plain,
! [X0,X1] :
( ~ product(X1,b,X0)
| sum(X0,a,b)
| ~ sum(X1,u,multiplicative_identity) ),
inference(forward_subsumption_resolution,[],[f345,f28]) ).
fof(f415,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X2,add(X0,X1),X4)
| ~ defined(X1)
| ~ sum(X2,X0,X3)
| sum(X3,X1,X4)
| ~ defined(X0) ),
inference(resolution,[],[f19,f2]) ).
fof(f416,plain,
! [X0,X1] :
( sum(X1,X0,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f19,f5]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,X1,X3)
| ~ defined(X1)
| ~ less_or_equal(X2,X0)
| ~ defined(X0)
| less_or_equal(X3,add(X0,X1)) ),
inference(resolution,[],[f19,f24]) ).
fof(f436,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ sum(X2,X0,additive_identity)
| sum(X2,add(X1,X0),X1)
| ~ defined(X1) ),
inference(resolution,[],[f416,f54]) ).
fof(f440,plain,
! [X2,X0,X1] :
( sum(X2,add(X1,X0),X1)
| ~ defined(X1)
| ~ sum(X2,X0,additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f436]) ).
fof(f498,plain,
! [X0,X1] :
( less_or_equal(additive_identity,multiply(X0,X1))
| ~ defined(X1)
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,X1)
| ~ defined(X0) ),
inference(resolution,[],[f20,f25]) ).
fof(f538,plain,
! [X0,X1] :
( ~ defined(additive_inverse(X0))
| ~ less_or_equal(X0,X1)
| ~ defined(X1)
| less_or_equal(additive_identity,add(X1,additive_inverse(X0)))
| ~ defined(X0) ),
inference(resolution,[],[f417,f217]) ).
fof(f546,plain,
! [X0,X1] :
( less_or_equal(additive_identity,add(X1,additive_inverse(X0)))
| ~ defined(X1)
| ~ less_or_equal(X0,X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f538,f15]) ).
fof(f1064,plain,
! [X0] :
( sum(multiply(X0,b),a,b)
| ~ sum(X0,u,multiplicative_identity)
| ~ defined(X0)
| ~ defined(b) ),
inference(resolution,[],[f350,f20]) ).
fof(f1101,plain,
! [X0] :
( sum(multiply(X0,b),a,b)
| ~ sum(X0,u,multiplicative_identity)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f1064,f28]) ).
fof(f1398,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ sum(X1,X2,additive_identity)
| ~ defined(X2)
| ~ defined(X2)
| ~ sum(X1,X0,X3)
| sum(X3,X2,X0)
| ~ defined(X0) ),
inference(resolution,[],[f440,f415]) ).
fof(f1410,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,additive_identity)
| ~ defined(X0)
| ~ defined(X2)
| ~ sum(X1,X0,X3)
| sum(X3,X2,X0) ),
inference(duplicate_literal_removal,[],[f1398]) ).
fof(f1419,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ sum(additive_inverse(X1),X0,X2)
| sum(X2,X1,X0)
| ~ defined(X1) ),
inference(resolution,[],[f1410,f4]) ).
fof(f1432,plain,
! [X2,X0,X1] :
( ~ sum(additive_inverse(X1),X0,X2)
| ~ defined(X1)
| ~ defined(X0)
| sum(X2,X1,X0) ),
inference(duplicate_literal_removal,[],[f1419]) ).
fof(f1447,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| sum(add(X1,additive_inverse(X0)),X0,X1)
| ~ defined(additive_inverse(X0))
| ~ defined(X1) ),
inference(resolution,[],[f1432,f416]) ).
fof(f1448,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| sum(add(X1,additive_inverse(X0)),X0,X1)
| ~ defined(additive_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f1447]) ).
fof(f1451,plain,
! [X0,X1] :
( sum(add(X1,additive_inverse(X0)),X0,X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f1448,f15]) ).
fof(f2183,plain,
! [X2,X0,X1] :
( ~ less_or_equal(X1,multiply(X0,b))
| ~ defined(X0)
| ~ sum(X0,u,multiplicative_identity)
| ~ sum(X1,a,X2)
| less_or_equal(X2,b) ),
inference(resolution,[],[f1101,f24]) ).
fof(f2196,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,u,multiplicative_identity)
| ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b)
| ~ defined(b)
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,b)
| ~ defined(X0) ),
inference(resolution,[],[f2183,f498]) ).
fof(f2197,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,u,multiplicative_identity)
| ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b)
| ~ defined(b)
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,b) ),
inference(duplicate_literal_removal,[],[f2196]) ).
fof(f2198,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,u,multiplicative_identity)
| ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b)
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,b) ),
inference(forward_subsumption_resolution,[],[f2197,f28]) ).
fof(f2199,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ sum(X0,u,multiplicative_identity)
| ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b)
| ~ less_or_equal(additive_identity,X0) ),
inference(forward_subsumption_resolution,[],[f2198,f31]) ).
fof(f2201,definition,
( spl1_56
<=> ! [X1] :
( ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b) ) ),
introduced(definition,[new_symbols(definition,[spl1_56])],[avatar_definition]) ).
fof(f2202,plain,
( ! [X1] :
( ~ sum(additive_identity,a,X1)
| less_or_equal(X1,b) )
| ~ spl1_56 ),
inference(avatar_component_clause,[],[f2201]) ).
fof(f2204,definition,
( spl1_57
<=> ! [X0] :
( ~ defined(X0)
| ~ less_or_equal(additive_identity,X0)
| ~ sum(X0,u,multiplicative_identity) ) ),
introduced(definition,[new_symbols(definition,[spl1_57])],[avatar_definition]) ).
fof(f2205,plain,
( ! [X0] :
( ~ sum(X0,u,multiplicative_identity)
| ~ less_or_equal(additive_identity,X0)
| ~ defined(X0) )
| ~ spl1_57 ),
inference(avatar_component_clause,[],[f2204]) ).
fof(f2206,plain,
( spl1_56
| spl1_57 ),
inference(avatar_split_clause,[],[f2199,f2204,f2201]) ).
fof(f2207,plain,
( less_or_equal(a,b)
| ~ defined(a)
| ~ spl1_56 ),
inference(resolution,[],[f2202,f3]) ).
fof(f2214,plain,
( ~ defined(a)
| ~ spl1_56 ),
inference(forward_subsumption_resolution,[],[f2207,f34]) ).
fof(f2217,plain,
( $false
| ~ spl1_56 ),
inference(forward_subsumption_resolution,[],[f2214,f27]) ).
fof(f2218,plain,
~ spl1_56,
inference(avatar_contradiction_clause,[],[f2217]) ).
fof(f3323,plain,
( ~ defined(multiplicative_identity)
| ~ defined(u)
| ~ less_or_equal(additive_identity,add(multiplicative_identity,additive_inverse(u)))
| ~ defined(add(multiplicative_identity,additive_inverse(u)))
| ~ spl1_57 ),
inference(resolution,[],[f1451,f2205]) ).
fof(f3336,plain,
( ~ defined(u)
| ~ less_or_equal(additive_identity,add(multiplicative_identity,additive_inverse(u)))
| ~ defined(add(multiplicative_identity,additive_inverse(u)))
| ~ spl1_57 ),
inference(forward_subsumption_resolution,[],[f3323,f17]) ).
fof(f3356,plain,
( ~ less_or_equal(additive_identity,add(multiplicative_identity,additive_inverse(u)))
| ~ defined(add(multiplicative_identity,additive_inverse(u)))
| ~ spl1_57 ),
inference(forward_subsumption_resolution,[],[f3336,f29]) ).
fof(f3361,definition,
( spl1_88
<=> defined(add(multiplicative_identity,additive_inverse(u))) ),
introduced(definition,[new_symbols(definition,[spl1_88])],[avatar_definition]) ).
fof(f3363,plain,
( ~ defined(add(multiplicative_identity,additive_inverse(u)))
| spl1_88 ),
inference(avatar_component_clause,[],[f3361]) ).
fof(f3365,definition,
( spl1_89
<=> less_or_equal(additive_identity,add(multiplicative_identity,additive_inverse(u))) ),
introduced(definition,[new_symbols(definition,[spl1_89])],[avatar_definition]) ).
fof(f3367,plain,
( ~ less_or_equal(additive_identity,add(multiplicative_identity,additive_inverse(u)))
| spl1_89 ),
inference(avatar_component_clause,[],[f3365]) ).
fof(f3368,plain,
( ~ spl1_88
| ~ spl1_89
| ~ spl1_57 ),
inference(avatar_split_clause,[],[f3356,f2204,f3365,f3361]) ).
fof(f3596,plain,
( ~ defined(multiplicative_identity)
| ~ defined(additive_inverse(u))
| spl1_88 ),
inference(resolution,[],[f13,f3363]) ).
fof(f3597,plain,
( ~ defined(additive_inverse(u))
| spl1_88 ),
inference(forward_subsumption_resolution,[],[f3596,f17]) ).
fof(f3598,plain,
( ~ defined(u)
| spl1_88 ),
inference(resolution,[],[f3597,f15]) ).
fof(f3599,plain,
( $false
| spl1_88 ),
inference(forward_subsumption_resolution,[],[f3598,f29]) ).
fof(f3600,plain,
spl1_88,
inference(avatar_contradiction_clause,[],[f3599]) ).
fof(f3601,plain,
( ~ defined(multiplicative_identity)
| ~ less_or_equal(u,multiplicative_identity)
| ~ defined(u)
| spl1_89 ),
inference(resolution,[],[f3367,f546]) ).
fof(f3602,plain,
( ~ less_or_equal(u,multiplicative_identity)
| ~ defined(u)
| spl1_89 ),
inference(forward_subsumption_resolution,[],[f3601,f17]) ).
fof(f3603,plain,
( ~ defined(u)
| spl1_89 ),
inference(forward_subsumption_resolution,[],[f3602,f33]) ).
fof(f3604,plain,
( $false
| spl1_89 ),
inference(forward_subsumption_resolution,[],[f3603,f29]) ).
fof(f3605,plain,
spl1_89,
inference(avatar_contradiction_clause,[],[f3604]) ).
cnf(s55,plain,
( spl1_56
| spl1_57 ),
inference(sat_conversion,[],[f2206]) ).
cnf(s56,plain,
~ spl1_56,
inference(sat_conversion,[],[f2218]) ).
cnf(s91,plain,
( ~ spl1_57
| ~ spl1_88
| ~ spl1_89 ),
inference(sat_conversion,[],[f3368]) ).
cnf(s100,plain,
spl1_88,
inference(sat_conversion,[],[f3600]) ).
cnf(s101,plain,
spl1_89,
inference(sat_conversion,[],[f3605]) ).
cnf(s102,plain,
~ spl1_57,
inference(rat,[],[s91,s101,s100]) ).
cnf(s103,plain,
$false,
inference(rat,[],[s55,s102,s56]) ).
fof(f3606,plain,
$false,
inference(avatar_sat_refutation,[],[s103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD079-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n011.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:57:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 7.55/1.93 % (3960368)Input is clausal, will run a generic CNF schedule.
% 7.55/1.93 % (3960377)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4252087787:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.55/1.93 % (3960377)Instruction limit reached!
% 7.55/1.93 % (3960377)------------------------------
% 7.55/1.93 % (3960377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.93 % (3960377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.93 % (3960377)CaDiCaL version: 2.1.3
% 7.55/1.93 % (3960377)Termination reason: Instruction limit
% 7.55/1.93 % (3960377)Termination phase: Saturation
% 7.55/1.93 % (3960377)Time elapsed: 0.038 s
% 7.55/1.93 % (3960377)Peak memory usage: 88 MB
% 7.55/1.93 % (3960377)Instructions burned: 117 (million)
% 7.55/1.93 % (3960373)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=683732268:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.55/1.93 % (3960375)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4239442984:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.55/1.93 % (3960376)lrs+10_1_sil=8000:sp=occurrence:random_seed=2203112784:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.55/1.93 % (3960374)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=850470601:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.55/1.93 % (3960378)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1816985771:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.55/1.93 % (3960379)dis-21_1_sil=8000:lcm=predicate:random_seed=3607810825: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)
% 7.55/1.93 % (3960376)Instruction limit reached!
% 7.55/1.93 % (3960376)------------------------------
% 7.55/1.93 % (3960376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.93 % (3960376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.93 % (3960376)CaDiCaL version: 2.1.3
% 7.55/1.93 % (3960376)Termination reason: Instruction limit
% 7.55/1.93 % (3960376)Termination phase: Saturation
% 7.55/1.93 % (3960376)Time elapsed: 0.069 s
% 7.55/1.93 % (3960376)Peak memory usage: 89 MB
% 7.55/1.93 % (3960376)Instructions burned: 108 (million)
% 7.55/1.93 % (3960379)Instruction limit reached!
% 7.55/1.93 % (3960379)------------------------------
% 7.55/1.93 % (3960379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.93 % (3960379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.93 % (3960379)CaDiCaL version: 2.1.3
% 7.55/1.93 % (3960379)Termination reason: Instruction limit
% 7.55/1.93 % (3960379)Termination phase: Saturation
% 7.55/1.93 % (3960379)Time elapsed: 0.067 s
% 7.55/1.93 % (3960379)Peak memory usage: 89 MB
% 7.55/1.93 % (3960379)Instructions burned: 117 (million)
% 7.55/1.93 % (3960385)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=1898178892:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.55/1.93 % (3960378)Instruction limit reached!
% 7.55/1.93 % (3960378)------------------------------
% 7.55/1.93 % (3960378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.93 % (3960378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.93 % (3960378)CaDiCaL version: 2.1.3
% 7.55/1.93 % (3960378)Termination reason: Instruction limit
% 7.55/1.93 % (3960378)Termination phase: Saturation
% 7.55/1.93 % (3960378)Time elapsed: 0.108 s
% 7.55/1.93 % (3960378)Peak memory usage: 88 MB
% 7.55/1.93 % (3960378)Instructions burned: 181 (million)
% 7.55/1.93 % (3960385)Instruction limit reached!
% 7.55/1.93 % (3960385)------------------------------
% 7.55/1.93 % (3960385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/1.93 % (3960385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/1.93 % (3960385)CaDiCaL version: 2.1.3
% 7.55/1.93 % (3960385)Termination reason: Instruction limit
% 7.55/1.93 % (3960385)Termination phase: Saturation
% 7.55/1.93 % (3960385)Time elapsed: 0.046 s
% 7.55/1.93 % (3960385)Peak memory usage: 89 MB
% 7.55/1.93 % (3960385)Instructions burned: 147 (million)
% 7.55/1.93 % (3960388)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2429033692: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)
% 5.86/2.14 % (3960389)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3401735357:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.86/2.14 % (3960392)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=359894271:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.86/2.14 % (3960391)lrs+10_64_to=lpo:sil=8000:random_seed=1043036432:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.86/2.14 % (3960392)Instruction limit reached!
% 5.86/2.14 % (3960392)------------------------------
% 5.86/2.14 % (3960392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960392)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960392)Termination reason: Instruction limit
% 5.86/2.14 % (3960392)Termination phase: Saturation
% 5.86/2.14 % (3960392)Time elapsed: 0.037 s
% 5.86/2.14 % (3960392)Peak memory usage: 87 MB
% 5.86/2.14 % (3960392)Instructions burned: 198 (million)
% 5.86/2.14 % (3960388)Instruction limit reached!
% 5.86/2.14 % (3960388)------------------------------
% 5.86/2.14 % (3960388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960388)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960388)Termination reason: Instruction limit
% 5.86/2.14 % (3960388)Termination phase: Saturation
% 5.86/2.14 % (3960388)Time elapsed: 0.096 s
% 5.86/2.14 % (3960388)Peak memory usage: 91 MB
% 5.86/2.14 % (3960388)Instructions burned: 189 (million)
% 5.86/2.14 % (3960391)Instruction limit reached!
% 5.86/2.14 % (3960391)------------------------------
% 5.86/2.14 % (3960391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960391)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960391)Termination reason: Instruction limit
% 5.86/2.14 % (3960391)Termination phase: Saturation
% 5.86/2.14 % (3960391)Time elapsed: 0.061 s
% 5.86/2.14 % (3960391)Peak memory usage: 88 MB
% 5.86/2.14 % (3960391)Instructions burned: 128 (million)
% 5.86/2.14 % (3960389)Instruction limit reached!
% 5.86/2.14 % (3960389)------------------------------
% 5.86/2.14 % (3960389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960389)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960389)Termination reason: Instruction limit
% 5.86/2.14 % (3960389)Termination phase: Saturation
% 5.86/2.14 % (3960389)Time elapsed: 0.129 s
% 5.86/2.14 % (3960389)Peak memory usage: 89 MB
% 5.86/2.14 % (3960389)Instructions burned: 219 (million)
% 5.86/2.14 % (3960397)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=179665980:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.86/2.14 % (3960398)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2399947947:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.86/2.14 % (3960399)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=1182289122:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 5.86/2.14 % (3960397)Instruction limit reached!
% 5.86/2.14 % (3960397)------------------------------
% 5.86/2.14 % (3960397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960397)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960397)Termination reason: Instruction limit
% 5.86/2.14 % (3960397)Termination phase: Saturation
% 5.86/2.14 % (3960397)Time elapsed: 0.059 s
% 5.86/2.14 % (3960397)Peak memory usage: 90 MB
% 5.86/2.14 % (3960397)Instructions burned: 159 (million)
% 5.86/2.14 % (3960400)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3039625262:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 5.86/2.14 % (3960399)Instruction limit reached!
% 5.86/2.14 % (3960399)------------------------------
% 5.86/2.14 % (3960399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960399)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960399)Termination reason: Instruction limit
% 5.86/2.14 % (3960399)Termination phase: Saturation
% 5.86/2.14 % (3960399)Time elapsed: 0.056 s
% 5.86/2.14 % (3960399)Peak memory usage: 90 MB
% 5.86/2.14 % (3960399)Instructions burned: 108 (million)
% 5.86/2.14 % (3960400)Instruction limit reached!
% 5.86/2.14 % (3960400)------------------------------
% 5.86/2.14 % (3960400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960400)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960400)Termination reason: Instruction limit
% 5.86/2.14 % (3960400)Termination phase: Saturation
% 5.86/2.14 % (3960400)Time elapsed: 0.068 s
% 5.86/2.14 % (3960400)Peak memory usage: 89 MB
% 5.86/2.14 % (3960400)Instructions burned: 108 (million)
% 5.86/2.14 % (3960404)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=267855405:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 5.86/2.14 % (3960404)Instruction limit reached!
% 5.86/2.14 % (3960404)------------------------------
% 5.86/2.14 % (3960404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960404)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960404)Termination reason: Instruction limit
% 5.86/2.14 % (3960404)Termination phase: Saturation
% 5.86/2.14 % (3960404)Time elapsed: 0.085 s
% 5.86/2.14 % (3960404)Peak memory usage: 89 MB
% 5.86/2.14 % (3960404)Instructions burned: 245 (million)
% 5.86/2.14 % (3960406)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1414099904:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 5.86/2.14 % (3960408)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=593510649:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 5.86/2.14 % (3960409)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1542863704:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 5.86/2.14 % (3960408)Instruction limit reached!
% 5.86/2.14 % (3960408)------------------------------
% 5.86/2.14 % (3960408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960408)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960408)Termination reason: Instruction limit
% 5.86/2.14 % (3960408)Termination phase: Saturation
% 5.86/2.14 % (3960408)Time elapsed: 0.050 s
% 5.86/2.14 % (3960408)Peak memory usage: 87 MB
% 5.86/2.14 % (3960408)Instructions burned: 135 (million)
% 5.86/2.14 % (3960409)Instruction limit reached!
% 5.86/2.14 % (3960409)------------------------------
% 5.86/2.14 % (3960409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960409)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960409)Termination reason: Instruction limit
% 5.86/2.14 % (3960409)Termination phase: Saturation
% 5.86/2.14 % (3960409)Time elapsed: 0.145 s
% 5.86/2.14 % (3960409)Peak memory usage: 101 MB
% 5.86/2.14 % (3960409)Instructions burned: 502 (million)
% 5.86/2.14 % (3960413)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1551950501:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 5.86/2.14 % (3960373)First to succeed.
% 5.86/2.14 % (3960373)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3960368"
% 5.86/2.14 % (3960414)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4172614014:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 5.86/2.14 % (3960413)Instruction limit reached!
% 5.86/2.14 % (3960413)------------------------------
% 5.86/2.14 % (3960413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960413)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960413)Termination reason: Instruction limit
% 5.86/2.14 % (3960413)Termination phase: Saturation
% 5.86/2.14 % (3960413)Time elapsed: 0.116 s
% 5.86/2.14 % (3960413)Peak memory usage: 91 MB
% 5.86/2.14 % (3960413)Instructions burned: 192 (million)
% 5.86/2.14 % (3960414)Instruction limit reached!
% 5.86/2.14 % (3960414)------------------------------
% 5.86/2.14 % (3960414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/2.14 % (3960414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/2.14 % (3960414)CaDiCaL version: 2.1.3
% 5.86/2.14 % (3960414)Termination reason: Instruction limit
% 5.86/2.14 % (3960414)Termination phase: Saturation
% 5.86/2.14 % (3960414)Time elapsed: 0.083 s
% 5.86/2.14 % (3960414)Peak memory usage: 89 MB
% 5.86/2.14 % (3960414)Instructions burned: 264 (million)
% 5.86/2.14 % (3960417)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1658417276:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 5.86/2.14 % (3960418)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=3771688911:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 5.86/2.14 % (3960373)Refutation found. Thanks to Tanya!
% 5.86/2.14 % SZS status Unsatisfiable for theBenchmark
% 5.86/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 11.01/2.34 % (3960373)------------------------------
% 11.01/2.34 % (3960373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.01/2.34 % (3960373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.01/2.34 % (3960373)CaDiCaL version: 2.1.3
% 11.01/2.34 % (3960373)Termination reason: Refutation
% 11.01/2.34 % (3960373)Time elapsed: 1.034 s
% 11.01/2.34 % (3960373)Peak memory usage: 133 MB
% 11.01/2.34 % (3960373)Instructions burned: 1534 (million)
% 11.01/2.34 % (3960373)------------------------------
% 11.01/2.34 % (3960373)------------------------------
% 11.01/2.34 % (3960368)Success in time 1.465 s
% 11.01/2.34 % Vampire exiting
%------------------------------------------------------------------------------