%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD068-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 09:49:48 AM UTC 2026
% Result : Unsatisfiable 54.31s 7.94s
% Output : Refutation 54.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 72 ( 16 unt; 3 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 244 ( 120 ~; 121 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 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/Axioms/FLD002-0.ax',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,X1,X5)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
fof(f21,axiom,
! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).
fof(f23,axiom,
! [X0,X1] :
( ~ defined(X1)
| less_or_equal(X1,X0)
| ~ defined(X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
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/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
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,negated_conjecture,
less_or_equal(additive_identity,add(b,additive_inverse(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f30,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4) ).
fof(f32,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f5,f4]) ).
fof(f40,plain,
! [X0,X1] :
( sum(X1,X0,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f19,f5]) ).
fof(f56,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(additive_identity,X0)
| less_or_equal(X0,additive_identity) ),
inference(resolution,[],[f23,f14]) ).
fof(f61,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(a,X0)
| less_or_equal(X0,a) ),
inference(resolution,[],[f23,f27]) ).
fof(f70,plain,
( less_or_equal(a,b)
| less_or_equal(b,a) ),
inference(resolution,[],[f61,f28]) ).
fof(f72,plain,
less_or_equal(b,a),
inference(forward_subsumption_resolution,[],[f70,f30]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ less_or_equal(X0,additive_identity)
| less_or_equal(X2,X1)
| ~ defined(X1) ),
inference(resolution,[],[f24,f3]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ less_or_equal(X0,X1)
| less_or_equal(X2,additive_identity)
| ~ defined(X1) ),
inference(resolution,[],[f24,f32]) ).
fof(f111,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(f123,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X2,X3)
| ~ sum(additive_identity,X0,X1)
| sum(X1,X2,X4)
| ~ less_or_equal(X3,X4)
| ~ less_or_equal(X4,X3) ),
inference(resolution,[],[f2,f21]) ).
fof(f152,definition,
( spl0_9
<=> less_or_equal(additive_identity,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f153,plain,
( less_or_equal(additive_identity,additive_identity)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f201,plain,
( less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[],[f56,f14]) ).
fof(f208,plain,
less_or_equal(additive_identity,additive_identity),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f348,plain,
! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),additive_identity)
| sum(X0,additive_identity,X1)
| ~ defined(X1)
| ~ defined(X1) ),
inference(resolution,[],[f111,f4]) ).
fof(f357,plain,
! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),additive_identity)
| sum(X0,additive_identity,X1)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f348]) ).
fof(f780,plain,
! [X2,X3,X0,X1] :
( ~ less_or_equal(X3,add(X2,X0))
| sum(X1,X2,X3)
| ~ less_or_equal(add(X2,X0),X3)
| ~ sum(additive_identity,X0,X1)
| ~ defined(X0)
| ~ defined(X2) ),
inference(resolution,[],[f123,f40]) ).
fof(f2569,definition,
( spl0_224
<=> defined(additive_inverse(a)) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
fof(f2570,plain,
( defined(additive_inverse(a))
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f2571,plain,
( ~ defined(additive_inverse(a))
| spl0_224 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f3038,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| less_or_equal(add(X0,additive_inverse(X1)),additive_identity)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(additive_inverse(X1)) ),
inference(resolution,[],[f110,f19]) ).
fof(f3045,plain,
! [X0,X1] :
( less_or_equal(add(X0,additive_inverse(X1)),additive_identity)
| ~ less_or_equal(X0,X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f3038,f15]) ).
fof(f7641,definition,
( spl0_418
<=> less_or_equal(add(b,additive_inverse(a)),additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_418])],[avatar_definition]) ).
fof(f7642,plain,
( less_or_equal(add(b,additive_inverse(a)),additive_identity)
| ~ spl0_418 ),
inference(avatar_component_clause,[],[f7641]) ).
fof(f7643,plain,
( ~ less_or_equal(add(b,additive_inverse(a)),additive_identity)
| spl0_418 ),
inference(avatar_component_clause,[],[f7641]) ).
fof(f17740,plain,
! [X0] :
( sum(X0,b,additive_identity)
| ~ less_or_equal(add(b,additive_inverse(a)),additive_identity)
| ~ sum(additive_identity,additive_inverse(a),X0)
| ~ defined(additive_inverse(a))
| ~ defined(b) ),
inference(resolution,[],[f780,f29]) ).
fof(f17764,plain,
( ! [X0] :
( sum(X0,b,additive_identity)
| ~ sum(additive_identity,additive_inverse(a),X0)
| ~ defined(additive_inverse(a))
| ~ defined(b) )
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f17740,f7642]) ).
fof(f17778,plain,
( ! [X0] :
( sum(X0,b,additive_identity)
| ~ sum(additive_identity,additive_inverse(a),X0)
| ~ defined(b) )
| ~ spl0_224
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f17764,f2570]) ).
fof(f17793,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_inverse(a),X0)
| sum(X0,b,additive_identity) )
| ~ spl0_224
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f17778,f28]) ).
fof(f20114,plain,
( sum(additive_inverse(a),b,additive_identity)
| ~ defined(additive_inverse(a))
| ~ spl0_224
| ~ spl0_418 ),
inference(resolution,[],[f17793,f3]) ).
fof(f20140,plain,
( sum(additive_inverse(a),b,additive_identity)
| ~ spl0_224
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f20114,f2570]) ).
fof(f20384,plain,
( ~ defined(a)
| spl0_224 ),
inference(resolution,[],[f2571,f15]) ).
fof(f20385,plain,
( $false
| spl0_224 ),
inference(forward_subsumption_resolution,[],[f20384,f27]) ).
fof(f20386,plain,
spl0_224,
inference(avatar_contradiction_clause,[],[f20385]) ).
fof(f27091,plain,
spl0_9,
inference(avatar_split_clause,[],[f208,f152]) ).
fof(f31468,plain,
( sum(b,additive_inverse(a),additive_identity)
| ~ spl0_224
| ~ spl0_418 ),
inference(resolution,[],[f20140,f5]) ).
fof(f33613,plain,
( sum(b,additive_identity,a)
| ~ defined(a)
| ~ spl0_224
| ~ spl0_418 ),
inference(resolution,[],[f31468,f357]) ).
fof(f33688,plain,
( sum(b,additive_identity,a)
| ~ spl0_224
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f33613,f27]) ).
fof(f33837,plain,
( sum(additive_identity,b,a)
| ~ spl0_224
| ~ spl0_418 ),
inference(resolution,[],[f33688,f5]) ).
fof(f33993,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(a,b)
| ~ defined(b)
| ~ spl0_224
| ~ spl0_418 ),
inference(resolution,[],[f33837,f103]) ).
fof(f34049,plain,
( less_or_equal(a,b)
| ~ defined(b)
| ~ spl0_9
| ~ spl0_224
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f33993,f153]) ).
fof(f34064,plain,
( ~ defined(b)
| ~ spl0_9
| ~ spl0_224
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f34049,f30]) ).
fof(f34065,plain,
( $false
| ~ spl0_9
| ~ spl0_224
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f34064,f28]) ).
fof(f34066,plain,
( ~ spl0_9
| ~ spl0_224
| ~ spl0_418 ),
inference(avatar_contradiction_clause,[],[f34065]) ).
fof(f63530,plain,
( ~ less_or_equal(b,a)
| ~ defined(a)
| ~ defined(b)
| spl0_418 ),
inference(resolution,[],[f3045,f7643]) ).
fof(f63561,plain,
( ~ defined(a)
| ~ defined(b)
| spl0_418 ),
inference(forward_subsumption_resolution,[],[f63530,f72]) ).
fof(f63570,plain,
( ~ defined(b)
| spl0_418 ),
inference(forward_subsumption_resolution,[],[f63561,f27]) ).
fof(f63575,plain,
( $false
| spl0_418 ),
inference(forward_subsumption_resolution,[],[f63570,f28]) ).
fof(f63576,plain,
spl0_418,
inference(avatar_contradiction_clause,[],[f63575]) ).
cnf(s1082,plain,
spl0_224,
inference(sat_conversion,[],[f20386]) ).
cnf(s1539,plain,
spl0_9,
inference(sat_conversion,[],[f27091]) ).
cnf(s2280,plain,
( ~ spl0_9
| ~ spl0_224
| ~ spl0_418 ),
inference(sat_conversion,[],[f34066]) ).
cnf(s4767,plain,
spl0_418,
inference(sat_conversion,[],[f63576]) ).
cnf(s4792,plain,
( ~ spl0_9
| ~ spl0_224 ),
inference(rat,[],[s2280,s4767]) ).
cnf(s4829,plain,
~ spl0_224,
inference(rat,[],[s4792,s1539]) ).
cnf(s4969,plain,
$false,
inference(rat,[],[s1082,s4829]) ).
fof(f63585,plain,
$false,
inference(avatar_sat_refutation,[],[s4969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD068-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n018.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 00:50:56 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.02/2.55 % (3947279)Will run a generic schedule for satisfiability detection.
% 16.02/2.55 % (3947286)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=532381596:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.02/2.55 % (3947285)% WARNING: option uhcvi not known.
% 16.02/2.55 % (3947285)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3392926358:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.02/2.55 % (3947284)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=177173771_2999 on theBenchmark for (2999ds/0Mi)
% 16.02/2.55 % (3947289)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=773585986:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.02/2.55 % (3947287)dis+10_1_sil=32000:sp=arity:random_seed=2036620636:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.02/2.55 % (3947288)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3087437157:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.02/2.55 % (3947290)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2134203175:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.02/2.55 % TRYING [1]
% 16.02/2.55 % TRYING [2]
% 16.02/2.55 % TRYING [3]
% 16.02/2.55 % TRYING [4]
% 16.02/2.55 % TRYING [5]
% 16.02/2.55 % (3947290)Instruction limit reached!
% 16.02/2.55 % (3947290)------------------------------
% 16.02/2.55 % (3947290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.55 % (3947290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.55 % (3947290)CaDiCaL version: 2.1.3
% 16.02/2.55 % (3947290)Termination reason: Instruction limit
% 16.02/2.55 % (3947290)Termination phase: Saturation
% 16.02/2.55 % (3947290)Time elapsed: 0.052 s
% 16.02/2.55 % (3947290)Peak memory usage: 11 MB
% 16.02/2.55 % (3947290)Instructions burned: 159 (million)
% 16.02/2.55 % (3947287)Instruction limit reached!
% 16.02/2.55 % (3947287)------------------------------
% 16.02/2.55 % (3947287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.55 % (3947287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.55 % (3947287)CaDiCaL version: 2.1.3
% 16.02/2.55 % (3947287)Termination reason: Instruction limit
% 16.02/2.55 % (3947287)Termination phase: Saturation
% 16.02/2.55 % (3947287)Time elapsed: 0.065 s
% 16.02/2.55 % (3947287)Peak memory usage: 11 MB
% 16.02/2.55 % (3947287)Instructions burned: 103 (million)
% 16.02/2.55 % (3947288)Instruction limit reached!
% 16.02/2.55 % (3947288)------------------------------
% 16.02/2.55 % (3947288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.55 % (3947288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.55 % (3947288)CaDiCaL version: 2.1.3
% 16.02/2.55 % (3947288)Termination reason: Instruction limit
% 16.02/2.55 % (3947288)Termination phase: Saturation
% 16.02/2.55 % (3947288)Time elapsed: 0.064 s
% 16.02/2.55 % (3947288)Peak memory usage: 11 MB
% 16.02/2.55 % (3947288)Instructions burned: 117 (million)
% 16.02/2.55 % (3947298)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2524786470:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.02/2.55 % TRYING [1]
% 16.02/2.55 % (3947289)Instruction limit reached!
% 16.02/2.55 % (3947289)------------------------------
% 16.02/2.55 % (3947289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.55 % (3947289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.55 % (3947289)CaDiCaL version: 2.1.3
% 16.02/2.55 % (3947289)Termination reason: Instruction limit
% 16.02/2.55 % (3947289)Termination phase: Saturation
% 16.02/2.55 % (3947289)Time elapsed: 0.076 s
% 16.02/2.55 % (3947289)Peak memory usage: 15 MB
% 16.02/2.55 % (3947289)Instructions burned: 132 (million)
% 16.02/2.55 % TRYING [2]
% 16.02/2.55 % TRYING [3]
% 16.02/2.55 % TRYING [4]
% 16.02/2.55 % (3947299)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=411789610:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.02/2.55 % (3947300)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3139504875:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.02/2.55 % (3947302)ott-21_1_sil=16000:fs=off:random_seed=1420282182:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.02/2.55 % TRYING [5]
% 16.02/2.55 % TRYING [6]
% 16.02/2.55 % (3947299)Instruction limit reached!
% 16.02/2.55 % (3947299)------------------------------
% 16.02/2.55 % (3947299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.64 % (3947299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.64 % (3947299)CaDiCaL version: 2.1.3
% 45.10/6.64 % (3947299)Termination reason: Instruction limit
% 45.10/6.64 % (3947299)Termination phase: Saturation
% 45.10/6.64 % (3947299)Time elapsed: 0.077 s
% 45.10/6.64 % (3947299)Peak memory usage: 15 MB
% 45.10/6.64 % (3947299)Instructions burned: 132 (million)
% 45.10/6.64 % (3947306)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=675449227:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 45.10/6.64 % (3947302)Instruction limit reached!
% 45.10/6.64 % (3947302)------------------------------
% 45.10/6.64 % (3947302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.64 % (3947302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.64 % (3947302)CaDiCaL version: 2.1.3
% 45.10/6.64 % (3947302)Termination reason: Instruction limit
% 45.10/6.64 % (3947302)Termination phase: Saturation
% 45.10/6.64 % (3947302)Time elapsed: 0.088 s
% 45.10/6.64 % (3947302)Peak memory usage: 12 MB
% 45.10/6.64 % (3947302)Instructions burned: 180 (million)
% 45.10/6.64 % (3947308)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3946195893:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 45.10/6.64 % TRYING [6]
% 45.10/6.64 % TRYING [1]
% 45.10/6.64 % TRYING [2]
% 45.10/6.64 % TRYING [3]
% 45.10/6.64 % TRYING [4]
% 45.10/6.64 % TRYING [5]
% 45.10/6.64 % TRYING [6]
% 45.10/6.64 % (3947298)Instruction limit reached!
% 45.10/6.64 % (3947298)------------------------------
% 45.10/6.64 % (3947298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.64 % (3947298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.64 % (3947298)CaDiCaL version: 2.1.3
% 45.10/6.64 % (3947298)Termination reason: Instruction limit
% 45.10/6.64 % (3947298)Termination phase: Finite model building SAT solving
% 45.10/6.64 % (3947298)Time elapsed: 0.387 s
% 45.10/6.64 % (3947298)Peak memory usage: 31 MB
% 45.10/6.64 % (3947298)Instructions burned: 715 (million)
% 45.10/6.64 % (3947310)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2258755387:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 45.10/6.64 % (3947306)Instruction limit reached!
% 45.10/6.64 % (3947306)------------------------------
% 45.10/6.64 % (3947306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.64 % (3947306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.64 % (3947306)CaDiCaL version: 2.1.3
% 45.10/6.64 % (3947306)Termination reason: Instruction limit
% 45.10/6.64 % (3947306)Termination phase: Saturation
% 45.10/6.64 % (3947306)Time elapsed: 0.313 s
% 45.10/6.64 % (3947306)Peak memory usage: 15 MB
% 45.10/6.64 % (3947306)Instructions burned: 477 (million)
% 45.10/6.64 % (3947300)Instruction limit reached!
% 45.10/6.64 % (3947300)------------------------------
% 45.10/6.64 % (3947300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.64 % (3947300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.64 % (3947300)CaDiCaL version: 2.1.3
% 45.10/6.64 % (3947300)Termination reason: Instruction limit
% 45.10/6.64 % (3947300)Termination phase: Saturation
% 45.10/6.64 % (3947300)Time elapsed: 0.430 s
% 45.10/6.64 % (3947300)Peak memory usage: 20 MB
% 45.10/6.64 % (3947300)Instructions burned: 684 (million)
% 45.10/6.64 % (3947312)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=656468218:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 45.10/6.64 % (3947308)Instruction limit reached!
% 45.10/6.64 % (3947308)------------------------------
% 45.10/6.64 % (3947308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.10/6.64 % (3947308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.10/6.64 % (3947308)CaDiCaL version: 2.1.3
% 45.10/6.64 % (3947308)Termination reason: Instruction limit
% 45.10/6.64 % (3947308)Termination phase: Finite model building constraint generation
% 45.10/6.64 % (3947308)Time elapsed: 0.332 s
% 45.10/6.64 % (3947308)Peak memory usage: 25 MB
% 45.10/6.64 % (3947308)Instructions burned: 868 (million)
% 45.10/6.64 % (3947313)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3790881070:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 45.10/6.64 % (3947316)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3757500911:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 45.10/6.64 % TRYING [14]
% 45.10/6.64 % TRYING [7]
% 54.31/7.94 % (3947312)Instruction limit reached!
% 54.31/7.94 % (3947312)------------------------------
% 54.31/7.94 % (3947312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947312)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947312)Termination reason: Instruction limit
% 54.31/7.94 % (3947312)Termination phase: Finite model building constraint generation
% 54.31/7.94 % (3947312)Time elapsed: 0.331 s
% 54.31/7.94 % (3947312)Peak memory usage: 77 MB
% 54.31/7.94 % (3947312)Instructions burned: 892 (million)
% 54.31/7.94 % (3947318)fmb+10_1_sil=64000:random_seed=1594455739:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 54.31/7.94 % TRYING [1]
% 54.31/7.94 % TRYING [2]
% 54.31/7.94 % TRYING [3]
% 54.31/7.94 % TRYING [4]
% 54.31/7.94 % TRYING [5]
% 54.31/7.94 % (3947313)Instruction limit reached!
% 54.31/7.94 % (3947313)------------------------------
% 54.31/7.94 % (3947313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947313)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947313)Termination reason: Instruction limit
% 54.31/7.94 % (3947313)Termination phase: Saturation
% 54.31/7.94 % (3947313)Time elapsed: 0.432 s
% 54.31/7.94 % (3947313)Peak memory usage: 17 MB
% 54.31/7.94 % (3947313)Instructions burned: 692 (million)
% 54.31/7.94 % (3947320)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1078371247:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 54.31/7.94 % TRYING [20]
% 54.31/7.94 % TRYING [6]
% 54.31/7.94 % (3947316)Instruction limit reached!
% 54.31/7.94 % (3947316)------------------------------
% 54.31/7.94 % (3947316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947316)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947316)Termination reason: Instruction limit
% 54.31/7.94 % (3947316)Termination phase: Saturation
% 54.31/7.94 % (3947316)Time elapsed: 0.483 s
% 54.31/7.94 % (3947316)Peak memory usage: 16 MB
% 54.31/7.94 % (3947316)Instructions burned: 879 (million)
% 54.31/7.94 % (3947322)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3056394764:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 54.31/7.94 % TRYING [8]
% 54.31/7.94 % (3947310)Instruction limit reached!
% 54.31/7.94 % (3947310)------------------------------
% 54.31/7.94 % (3947310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947310)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947310)Termination reason: Instruction limit
% 54.31/7.94 % (3947310)Termination phase: Saturation
% 54.31/7.94 % (3947310)Time elapsed: 0.692 s
% 54.31/7.94 % (3947310)Peak memory usage: 18 MB
% 54.31/7.94 % (3947310)Instructions burned: 1180 (million)
% 54.31/7.94 % (3947324)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3256879843:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 54.31/7.94 % TRYING [7]
% 54.31/7.94 % TRYING [8]
% 54.31/7.94 % (3947322)Instruction limit reached!
% 54.31/7.94 % (3947322)------------------------------
% 54.31/7.94 % (3947322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947322)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947322)Termination reason: Instruction limit
% 54.31/7.94 % (3947322)Termination phase: Finite model building constraint generation
% 54.31/7.94 % (3947322)Time elapsed: 0.351 s
% 54.31/7.94 % (3947322)Peak memory usage: 69 MB
% 54.31/7.94 % (3947322)Instructions burned: 921 (million)
% 54.31/7.94 % (3947326)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3270056005:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 54.31/7.94 % TRYING [8]
% 54.31/7.94 % (3947326)Instruction limit reached!
% 54.31/7.94 % (3947326)------------------------------
% 54.31/7.94 % (3947326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947326)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947326)Termination reason: Instruction limit
% 54.31/7.94 % (3947326)Termination phase: Saturation
% 54.31/7.94 % (3947326)Time elapsed: 0.815 s
% 54.31/7.94 % (3947326)Peak memory usage: 23 MB
% 54.31/7.94 % (3947326)Instructions burned: 1474 (million)
% 54.31/7.94 % (3947328)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3707238200:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 54.31/7.94 % TRYING [77]
% 54.31/7.94 % TRYING [9]
% 54.31/7.94 % TRYING [9]
% 54.31/7.94 % (3947324)Instruction limit reached!
% 54.31/7.94 % (3947324)------------------------------
% 54.31/7.94 % (3947324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947324)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947324)Termination reason: Instruction limit
% 54.31/7.94 % (3947324)Termination phase: Saturation
% 54.31/7.94 % (3947324)Time elapsed: 2.499 s
% 54.31/7.94 % (3947324)Peak memory usage: 17 MB
% 54.31/7.94 % (3947324)Instructions burned: 5131 (million)
% 54.31/7.94 % (3947330)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=430063162:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 54.31/7.94 % TRYING [16]
% 54.31/7.94 % (3947320)Instruction limit reached!
% 54.31/7.94 % (3947320)------------------------------
% 54.31/7.94 % (3947320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947320)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947320)Termination reason: Instruction limit
% 54.31/7.94 % (3947320)Termination phase: Finite model building constraint generation
% 54.31/7.94 % (3947320)Time elapsed: 3.160 s
% 54.31/7.94 % (3947320)Peak memory usage: 533 MB
% 54.31/7.94 % (3947320)Instructions burned: 9518 (million)
% 54.31/7.94 % (3947332)ott-2_1_sil=16000:newcnf=on:random_seed=2335653950:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 54.31/7.94 % TRYING [10]
% 54.31/7.94 % (3947330)Instruction limit reached!
% 54.31/7.94 % (3947330)------------------------------
% 54.31/7.94 % (3947330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947330)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947330)Termination reason: Instruction limit
% 54.31/7.94 % (3947330)Termination phase: Finite model building constraint generation
% 54.31/7.94 % (3947330)Time elapsed: 0.729 s
% 54.31/7.94 % (3947330)Peak memory usage: 130 MB
% 54.31/7.94 % (3947330)Instructions burned: 2177 (million)
% 54.31/7.94 % (3947328)Instruction limit reached!
% 54.31/7.94 % (3947328)------------------------------
% 54.31/7.94 % (3947328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947328)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947328)Termination reason: Instruction limit
% 54.31/7.94 % (3947328)Termination phase: Finite model building constraint generation
% 54.31/7.94 % (3947328)Time elapsed: 2.181 s
% 54.31/7.94 % (3947328)Peak memory usage: 409 MB
% 54.31/7.94 % (3947328)Instructions burned: 6327 (million)
% 54.31/7.94 % (3947334)ott+10_1_sil=32000:tgt=ground:random_seed=2019041029:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 54.31/7.94 % (3947336)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=247935916:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 54.31/7.94 % TRYING [1]
% 54.31/7.94 % TRYING [2]
% 54.31/7.94 % TRYING [3]
% 54.31/7.94 % TRYING [4]
% 54.31/7.94 % (3947332)Instruction limit reached!
% 54.31/7.94 % (3947332)------------------------------
% 54.31/7.94 % (3947332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947332)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947332)Termination reason: Instruction limit
% 54.31/7.94 % (3947332)Termination phase: Saturation
% 54.31/7.94 % (3947332)Time elapsed: 0.292 s
% 54.31/7.94 % (3947332)Peak memory usage: 12 MB
% 54.31/7.94 % (3947332)Instructions burned: 872 (million)
% 54.31/7.94 % (3947338)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4289365726:i=3512:aac=none_2954 on theBenchmark for (2954ds/3512Mi)
% 54.31/7.94 % TRYING [5]
% 54.31/7.94 % TRYING [6]
% 54.31/7.94 % TRYING [7]
% 54.31/7.94 % TRYING [8]
% 54.31/7.94 % (3947338)Instruction limit reached!
% 54.31/7.94 % (3947338)------------------------------
% 54.31/7.94 % (3947338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947338)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947338)Termination reason: Instruction limit
% 54.31/7.94 % (3947338)Termination phase: Saturation
% 54.31/7.94 % (3947338)Time elapsed: 1.811 s
% 54.31/7.94 % (3947338)Peak memory usage: 18 MB
% 54.31/7.94 % (3947338)Instructions burned: 3513 (million)
% 54.31/7.94 % (3947340)dis+21_1_sil=32000:sas=cadical:random_seed=2669053286:i=3773:amm=off_2935 on theBenchmark for (2935ds/3773Mi)
% 54.31/7.94 % TRYING [10]
% 54.31/7.94 % TRYING [9]
% 54.31/7.94 % TRYING [11]
% 54.31/7.94 % (3947340) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3947279-3947340"...
% 54.31/7.94 % (3947340)...printing done.
% 54.31/7.94 % (3947340)Refutation found. Thanks to Tanya!
% 54.31/7.94 % SZS status Unsatisfiable for theBenchmark
% 54.31/7.94 % SZS output start Proof for theBenchmark
% See solution above
% 54.31/7.94 % (3947340)------------------------------
% 54.31/7.94 % (3947340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.31/7.94 % (3947340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.31/7.94 % (3947340)CaDiCaL version: 2.1.3
% 54.31/7.94 % (3947340)Termination reason: Refutation
% 54.31/7.94 % (3947340)Time elapsed: 1.244 s
% 54.31/7.94 % (3947340)Peak memory usage: 34 MB
% 54.31/7.94 % (3947340)Instructions burned: 2161 (million)
% 54.31/7.94 % (3947279)Success in time 7.704 s
% 54.31/7.94 % Vampire exiting
%------------------------------------------------------------------------------