%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD044-3 : 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 : n013.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 09:49:10 AM UTC 2026
% Result : Unsatisfiable 26.23s 4.46s
% Output : Refutation 26.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 68 ( 28 unt; 5 def)
% Number of atoms : 123 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 113 ( 58 ~; 53 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/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(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,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(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ product(X3,X1,X5)
| ~ product(X4,X1,X6)
| ~ sum(X5,X6,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_2) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
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(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,negated_conjecture,
~ product(additive_inverse(a),b,additive_inverse(multiply(a,b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_3) ).
fof(f30,definition,
sF0 = additive_inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f31,plain,
additive_inverse(a) = sF0,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF1 = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f33,plain,
multiply(a,b) = sF1,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF2 = additive_inverse(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f35,plain,
additive_inverse(sF1) = sF2,
inference(reorient_equations,[],[f34]) ).
fof(f36,plain,
~ product(sF0,b,sF2),
inference(definition_folding,[],[f29,f35,f33,f31]) ).
fof(f37,plain,
( defined(sF0)
| ~ defined(a) ),
inference(superposition,[],[f15,f31]) ).
fof(f38,plain,
( defined(sF2)
| ~ defined(sF1) ),
inference(superposition,[],[f15,f35]) ).
fof(f40,definition,
( spl3_1
<=> defined(sF1) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f41,plain,
( defined(sF1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f42,plain,
( ~ defined(sF1)
| spl3_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f44,definition,
( spl3_2
<=> defined(sF2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f46,plain,
( defined(sF2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f38,f44,f40]) ).
fof(f48,plain,
defined(sF0),
inference(forward_subsumption_resolution,[],[f37,f27]) ).
fof(f49,plain,
( sum(sF0,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[],[f4,f31]) ).
fof(f50,plain,
( sum(sF2,sF1,additive_identity)
| ~ defined(sF1) ),
inference(superposition,[],[f4,f35]) ).
fof(f51,plain,
sum(sF0,a,additive_identity),
inference(forward_subsumption_resolution,[],[f49,f27]) ).
fof(f57,plain,
( product(a,b,sF1)
| ~ defined(a)
| ~ defined(b) ),
inference(superposition,[],[f20,f33]) ).
fof(f58,plain,
( product(a,b,sF1)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f57,f27]) ).
fof(f59,plain,
product(a,b,sF1),
inference(forward_subsumption_resolution,[],[f58,f28]) ).
fof(f76,plain,
( defined(sF1)
| ~ defined(a)
| ~ defined(b) ),
inference(superposition,[],[f16,f33]) ).
fof(f77,plain,
( ~ defined(a)
| ~ defined(b)
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f76,f42]) ).
fof(f79,plain,
( ~ defined(b)
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f77,f27]) ).
fof(f82,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f79,f28]) ).
fof(f83,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f84,plain,
( sum(sF2,sF1,additive_identity)
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f50,f41]) ).
fof(f98,plain,
product(b,sF0,multiply(b,sF0)),
inference(unit_resulting_resolution,[],[f20,f28,f48]) ).
fof(f104,plain,
( sum(sF1,sF2,additive_identity)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f5,f84]) ).
fof(f144,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f146,plain,
sum(additive_identity,sF0,sF0),
inference(unit_resulting_resolution,[],[f3,f48]) ).
fof(f147,plain,
( sum(additive_identity,sF1,sF1)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f3,f41]) ).
fof(f150,plain,
( sum(additive_identity,sF2,sF2)
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f3,f46]) ).
fof(f197,plain,
sum(sF0,additive_identity,sF0),
inference(unit_resulting_resolution,[],[f5,f146]) ).
fof(f253,plain,
product(b,additive_identity,multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f20,f28,f14]) ).
fof(f410,plain,
( sum(sF1,additive_identity,sF1)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f1,f84,f104,f147]) ).
fof(f760,plain,
product(additive_identity,b,multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f10,f253]) ).
fof(f774,plain,
sum(multiply(b,additive_identity),sF1,sF1),
inference(unit_resulting_resolution,[],[f11,f59,f59,f144,f760]) ).
fof(f788,plain,
( sum(multiply(b,additive_identity),additive_identity,additive_identity)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f1,f104,f104,f774]) ).
fof(f1254,plain,
product(sF0,b,multiply(b,sF0)),
inference(unit_resulting_resolution,[],[f10,f98]) ).
fof(f1273,plain,
sum(multiply(b,sF0),sF1,multiply(b,additive_identity)),
inference(unit_resulting_resolution,[],[f11,f59,f760,f51,f1254]) ).
fof(f2488,plain,
( sum(multiply(b,sF0),sF1,additive_identity)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f1,f410,f1273,f788]) ).
fof(f4715,plain,
( sum(multiply(b,sF0),additive_identity,sF2)
| ~ spl3_1
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f1,f150,f104,f2488]) ).
fof(f4739,plain,
( product(additive_identity,b,additive_identity)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f12,f51,f59,f1254,f2488]) ).
fof(f4855,plain,
( ~ sum(multiply(b,sF0),additive_identity,sF2)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f12,f36,f1254,f197,f4739]) ).
fof(f4858,plain,
( $false
| ~ spl3_1
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f4855,f4715]) ).
fof(f4859,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f4858]) ).
cnf(s34,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f47]) ).
cnf(s52,plain,
spl3_1,
inference(sat_conversion,[],[f83]) ).
cnf(s2248,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f4859]) ).
cnf(s2249,plain,
~ spl3_2,
inference(rat,[],[s2248,s52]) ).
cnf(s2250,plain,
$false,
inference(rat,[],[s34,s2249,s52]) ).
fof(f4860,plain,
$false,
inference(avatar_sat_refutation,[],[s2250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD044-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n013.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 00:34:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 7.25/1.86 % (1749234)Input is clausal, will run a generic CNF schedule.
% 7.25/1.86 % (1749243)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3711084491:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.25/1.86 % (1749243)Instruction limit reached!
% 7.25/1.86 % (1749243)------------------------------
% 7.25/1.86 % (1749243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.86 % (1749243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.86 % (1749243)CaDiCaL version: 2.1.3
% 7.25/1.86 % (1749243)Termination reason: Instruction limit
% 7.25/1.86 % (1749243)Termination phase: Saturation
% 7.25/1.86 % (1749243)Time elapsed: 0.034 s
% 7.25/1.86 % (1749243)Peak memory usage: 88 MB
% 7.25/1.86 % (1749243)Instructions burned: 116 (million)
% 7.25/1.86 % (1749245)dis-21_1_sil=8000:lcm=predicate:random_seed=3935783297: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)
% 7.25/1.86 % (1749242)lrs+10_1_sil=8000:sp=occurrence:random_seed=1565636205:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.25/1.86 % (1749240)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1111411391:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.25/1.86 % (1749244)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3228702557:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.25/1.86 % (1749241)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=175064068:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.25/1.86 % (1749239)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=2401030321:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.25/1.86 % (1749245)Instruction limit reached!
% 7.25/1.86 % (1749245)------------------------------
% 7.25/1.86 % (1749245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.86 % (1749245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.86 % (1749245)CaDiCaL version: 2.1.3
% 7.25/1.86 % (1749245)Termination reason: Instruction limit
% 7.25/1.86 % (1749245)Termination phase: Saturation
% 7.25/1.86 % (1749245)Time elapsed: 0.055 s
% 7.25/1.86 % (1749245)Peak memory usage: 88 MB
% 7.25/1.86 % (1749245)Instructions burned: 118 (million)
% 7.25/1.86 % (1749242)Instruction limit reached!
% 7.25/1.86 % (1749242)------------------------------
% 7.25/1.86 % (1749242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.86 % (1749242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.86 % (1749242)CaDiCaL version: 2.1.3
% 7.25/1.86 % (1749242)Termination reason: Instruction limit
% 7.25/1.86 % (1749242)Termination phase: Saturation
% 7.25/1.86 % (1749242)Time elapsed: 0.070 s
% 7.25/1.86 % (1749242)Peak memory usage: 89 MB
% 7.25/1.86 % (1749242)Instructions burned: 108 (million)
% 7.25/1.86 % (1749248)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=638143503:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.25/1.86 % (1749248)Refutation not found, incomplete strategy
% 7.25/1.86 % (1749248)------------------------------
% 7.25/1.86 % (1749248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.86 % (1749248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.86 % (1749248)CaDiCaL version: 2.1.3
% 7.25/1.86 % (1749248)Termination reason: Refutation not found, incomplete strategy
% 7.25/1.86 % (1749248)Time elapsed: 0.0000 s
% 7.25/1.86 % (1749248)Peak memory usage: 87 MB
% 7.25/1.86 % (1749244)Instruction limit reached!
% 7.25/1.86 % (1749244)------------------------------
% 7.25/1.86 % (1749244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.25/1.86 % (1749244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.86 % (1749244)CaDiCaL version: 2.1.3
% 7.25/1.86 % (1749244)Termination reason: Instruction limit
% 7.25/1.86 % (1749244)Termination phase: Saturation
% 7.25/1.86 % (1749244)Time elapsed: 0.106 s
% 7.25/1.86 % (1749244)Peak memory usage: 89 MB
% 7.25/1.86 % (1749244)Instructions burned: 181 (million)
% 7.25/1.86 % (1749254)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3607043321: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)
% 18.37/3.29 % (1749255)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3991537892:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 18.37/3.29 % (1749248)------------------------------
% 18.37/3.29 % (1749248)------------------------------
% 18.37/3.29 % (1749257)lrs+10_64_to=lpo:sil=8000:random_seed=1405943232:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 18.37/3.29 % (1749254)Instruction limit reached!
% 18.37/3.29 % (1749254)------------------------------
% 18.37/3.29 % (1749254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.29 % (1749254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.29 % (1749254)CaDiCaL version: 2.1.3
% 18.37/3.29 % (1749254)Termination reason: Instruction limit
% 18.37/3.29 % (1749254)Termination phase: Saturation
% 18.37/3.29 % (1749254)Time elapsed: 0.096 s
% 18.37/3.29 % (1749254)Peak memory usage: 93 MB
% 18.37/3.29 % (1749254)Instructions burned: 189 (million)
% 18.37/3.29 % (1749261)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1730799755:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 18.37/3.29 % (1749257)Instruction limit reached!
% 18.37/3.29 % (1749257)------------------------------
% 18.37/3.29 % (1749257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.29 % (1749257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.29 % (1749257)CaDiCaL version: 2.1.3
% 18.37/3.29 % (1749257)Termination reason: Instruction limit
% 18.37/3.29 % (1749257)Termination phase: Saturation
% 18.37/3.29 % (1749257)Time elapsed: 0.084 s
% 18.37/3.29 % (1749257)Peak memory usage: 89 MB
% 18.37/3.29 % (1749257)Instructions burned: 126 (million)
% 18.37/3.29 % (1749255)Instruction limit reached!
% 18.37/3.29 % (1749255)------------------------------
% 18.37/3.29 % (1749255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.29 % (1749255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.29 % (1749255)CaDiCaL version: 2.1.3
% 18.37/3.29 % (1749255)Termination reason: Instruction limit
% 18.37/3.29 % (1749255)Termination phase: Saturation
% 18.37/3.29 % (1749255)Time elapsed: 0.131 s
% 18.37/3.29 % (1749255)Peak memory usage: 89 MB
% 18.37/3.29 % (1749255)Instructions burned: 219 (million)
% 18.37/3.29 % (1749261)Instruction limit reached!
% 18.37/3.29 % (1749261)------------------------------
% 18.37/3.29 % (1749261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.29 % (1749261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.29 % (1749261)CaDiCaL version: 2.1.3
% 18.37/3.29 % (1749261)Termination reason: Instruction limit
% 18.37/3.29 % (1749261)Termination phase: Saturation
% 18.37/3.29 % (1749261)Time elapsed: 0.062 s
% 18.37/3.29 % (1749261)Peak memory usage: 89 MB
% 18.37/3.29 % (1749261)Instructions burned: 196 (million)
% 18.37/3.29 % (1749262)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1710959543:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 18.37/3.29 % (1749264)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3249601782:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 18.37/3.29 % (1749266)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=476998940:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 18.37/3.29 % (1749266)Refutation not found, incomplete strategy
% 18.37/3.29 % (1749266)------------------------------
% 18.37/3.29 % (1749266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.29 % (1749266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.29 % (1749266)CaDiCaL version: 2.1.3
% 18.37/3.29 % (1749266)Termination reason: Refutation not found, incomplete strategy
% 18.37/3.29 % (1749266)Time elapsed: 0.0000 s
% 18.37/3.29 % (1749266)Peak memory usage: 87 MB
% 18.37/3.29 % (1749265)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=3163730320:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 18.37/3.29 % (1749265)Instruction limit reached!
% 18.37/3.29 % (1749265)------------------------------
% 18.37/3.29 % (1749265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749265)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749265)Termination reason: Instruction limit
% 25.51/4.27 % (1749265)Termination phase: Saturation
% 25.51/4.27 % (1749265)Time elapsed: 0.053 s
% 25.51/4.27 % (1749265)Peak memory usage: 89 MB
% 25.51/4.27 % (1749265)Instructions burned: 107 (million)
% 25.51/4.27 % (1749262)Instruction limit reached!
% 25.51/4.27 % (1749262)------------------------------
% 25.51/4.27 % (1749262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749262)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749262)Termination reason: Instruction limit
% 25.51/4.27 % (1749262)Termination phase: Saturation
% 25.51/4.27 % (1749262)Time elapsed: 0.110 s
% 25.51/4.27 % (1749262)Peak memory usage: 90 MB
% 25.51/4.27 % (1749262)Instructions burned: 158 (million)
% 25.51/4.27 % (1749266)------------------------------
% 25.51/4.27 % (1749266)------------------------------
% 25.51/4.27 % (1749272)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=349999920:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 25.51/4.27 % (1749271)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=326198930:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 25.51/4.27 % (1749273)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1942807548:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 25.51/4.27 % (1749273)Instruction limit reached!
% 25.51/4.27 % (1749273)------------------------------
% 25.51/4.27 % (1749273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749273)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749273)Termination reason: Instruction limit
% 25.51/4.27 % (1749273)Termination phase: Saturation
% 25.51/4.27 % (1749273)Time elapsed: 0.049 s
% 25.51/4.27 % (1749273)Peak memory usage: 89 MB
% 25.51/4.27 % (1749273)Instructions burned: 136 (million)
% 25.51/4.27 % (1749271)Instruction limit reached!
% 25.51/4.27 % (1749271)------------------------------
% 25.51/4.27 % (1749271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749271)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749271)Termination reason: Instruction limit
% 25.51/4.27 % (1749271)Termination phase: Saturation
% 25.51/4.27 % (1749271)Time elapsed: 0.156 s
% 25.51/4.27 % (1749271)Peak memory usage: 89 MB
% 25.51/4.27 % (1749271)Instructions burned: 243 (million)
% 25.51/4.27 % (1749277)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1193336810:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 25.51/4.27 % (1749279)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3742580183:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 25.51/4.27 % (1749277)Instruction limit reached!
% 25.51/4.27 % (1749277)------------------------------
% 25.51/4.27 % (1749277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749277)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749277)Termination reason: Instruction limit
% 25.51/4.27 % (1749277)Termination phase: Saturation
% 25.51/4.27 % (1749277)Time elapsed: 0.141 s
% 25.51/4.27 % (1749277)Peak memory usage: 102 MB
% 25.51/4.27 % (1749277)Instructions burned: 502 (million)
% 25.51/4.27 % (1749281)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2743720604:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 25.51/4.27 % (1749279)Instruction limit reached!
% 25.51/4.27 % (1749279)------------------------------
% 25.51/4.27 % (1749279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749279)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749279)Termination reason: Instruction limit
% 25.51/4.27 % (1749279)Termination phase: Saturation
% 25.51/4.27 % (1749279)Time elapsed: 0.111 s
% 25.51/4.27 % (1749279)Peak memory usage: 91 MB
% 25.51/4.27 % (1749279)Instructions burned: 191 (million)
% 25.51/4.27 % (1749281)Instruction limit reached!
% 25.51/4.27 % (1749281)------------------------------
% 25.51/4.27 % (1749281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749281)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749281)Termination reason: Instruction limit
% 25.51/4.27 % (1749281)Termination phase: Saturation
% 25.51/4.27 % (1749281)Time elapsed: 0.087 s
% 25.51/4.27 % (1749281)Peak memory usage: 90 MB
% 25.51/4.27 % (1749281)Instructions burned: 265 (million)
% 25.51/4.27 % (1749283)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3326124599:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 25.51/4.27 % (1749284)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=1258838227:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 25.51/4.27 % (1749283)Instruction limit reached!
% 25.51/4.27 % (1749283)------------------------------
% 25.51/4.27 % (1749283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749283)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749283)Termination reason: Instruction limit
% 25.51/4.27 % (1749283)Termination phase: Saturation
% 25.51/4.27 % (1749283)Time elapsed: 0.098 s
% 25.51/4.27 % (1749283)Peak memory usage: 89 MB
% 25.51/4.27 % (1749283)Instructions burned: 157 (million)
% 25.51/4.27 % (1749287)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=376551206:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 25.51/4.27 % (1749287)Instruction limit reached!
% 25.51/4.27 % (1749287)------------------------------
% 25.51/4.27 % (1749287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749287)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749287)Termination reason: Instruction limit
% 25.51/4.27 % (1749287)Termination phase: Saturation
% 25.51/4.27 % (1749287)Time elapsed: 0.289 s
% 25.51/4.27 % (1749287)Peak memory usage: 90 MB
% 25.51/4.27 % (1749287)Instructions burned: 539 (million)
% 25.51/4.27 % (1749289)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3890012458:i=180:bd=preordered:av=off_2981 on theBenchmark for (2981ds/180Mi)
% 25.51/4.27 % (1749289)Instruction limit reached!
% 25.51/4.27 % (1749289)------------------------------
% 25.51/4.27 % (1749289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749289)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749289)Termination reason: Instruction limit
% 25.51/4.27 % (1749289)Termination phase: Saturation
% 25.51/4.27 % (1749289)Time elapsed: 0.091 s
% 25.51/4.27 % (1749289)Peak memory usage: 93 MB
% 25.51/4.27 % (1749289)Instructions burned: 181 (million)
% 25.51/4.27 % (1749291)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3007564251:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2978 on theBenchmark for (2978ds/10307Mi)
% 25.51/4.27 % (1749284)Instruction limit reached!
% 25.51/4.27 % (1749284)------------------------------
% 25.51/4.27 % (1749284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749284)CaDiCaL version: 2.1.3
% 25.51/4.27 % (1749284)Termination reason: Instruction limit
% 25.51/4.27 % (1749284)Termination phase: Saturation
% 25.51/4.27 % (1749284)Time elapsed: 1.053 s
% 25.51/4.27 % (1749284)Peak memory usage: 143 MB
% 25.51/4.27 % (1749284)Instructions burned: 3257 (million)
% 25.51/4.27 % (1749293)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3952162504:i=412:gtgl=4:gtg=exists_all_2975 on theBenchmark for (2975ds/412Mi)
% 25.51/4.27 % (1749293)Instruction limit reached!
% 25.51/4.27 % (1749293)------------------------------
% 25.51/4.27 % (1749293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.51/4.27 % (1749293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.51/4.27 % (1749293)CaDiCaL version: 2.1.3
% 26.23/4.46 % (1749293)Termination reason: Instruction limit
% 26.23/4.46 % (1749293)Termination phase: Saturation
% 26.23/4.46 % (1749293)Time elapsed: 0.113 s
% 26.23/4.46 % (1749293)Peak memory usage: 90 MB
% 26.23/4.46 % (1749293)Instructions burned: 412 (million)
% 26.23/4.46 % (1749264)Instruction limit reached!
% 26.23/4.46 % (1749264)------------------------------
% 26.23/4.46 % (1749264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.23/4.46 % (1749264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.23/4.46 % (1749264)CaDiCaL version: 2.1.3
% 26.23/4.46 % (1749264)Termination reason: Instruction limit
% 26.23/4.46 % (1749264)Termination phase: Saturation
% 26.23/4.46 % (1749264)Time elapsed: 2.094 s
% 26.23/4.46 % (1749264)Peak memory usage: 148 MB
% 26.23/4.46 % (1749264)Instructions burned: 3395 (million)
% 26.23/4.46 % (1749295)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1850186529:s2pl=no:i=8478:s2at=4:nm=6_2973 on theBenchmark for (2973ds/8478Mi)
% 26.23/4.46 % (1749296)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=1830302197:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2972 on theBenchmark for (2972ds/303Mi)
% 26.23/4.46 % (1749296)Instruction limit reached!
% 26.23/4.46 % (1749296)------------------------------
% 26.23/4.46 % (1749296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.23/4.46 % (1749296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.23/4.46 % (1749296)CaDiCaL version: 2.1.3
% 26.23/4.46 % (1749296)Termination reason: Instruction limit
% 26.23/4.46 % (1749296)Termination phase: Saturation
% 26.23/4.46 % (1749296)Time elapsed: 0.145 s
% 26.23/4.46 % (1749296)Peak memory usage: 93 MB
% 26.23/4.46 % (1749296)Instructions burned: 305 (million)
% 26.23/4.46 % (1749299)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=4151456163:st=4:i=720:sd=3:fsr=off:ss=axioms_2970 on theBenchmark for (2970ds/720Mi)
% 26.23/4.46 % (1749295)First to succeed.
% 26.23/4.46 % (1749295)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1749234"
% 26.23/4.46 % (1749299)Instruction limit reached!
% 26.23/4.46 % (1749299)------------------------------
% 26.23/4.46 % (1749299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.23/4.46 % (1749299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.23/4.46 % (1749299)CaDiCaL version: 2.1.3
% 26.23/4.46 % (1749299)Termination reason: Instruction limit
% 26.23/4.46 % (1749299)Termination phase: Saturation
% 26.23/4.46 % (1749299)Time elapsed: 0.395 s
% 26.23/4.46 % (1749299)Peak memory usage: 98 MB
% 26.23/4.46 % (1749299)Instructions burned: 721 (million)
% 26.23/4.46 % (1749295)Refutation found. Thanks to Tanya!
% 26.23/4.46 % SZS status Unsatisfiable for theBenchmark
% 26.23/4.46 % SZS output start Proof for theBenchmark
% See solution above
% 26.23/4.46 % (1749295)------------------------------
% 26.23/4.46 % (1749295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.23/4.46 % (1749295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.23/4.46 % (1749295)CaDiCaL version: 2.1.3
% 26.23/4.46 % (1749295)Termination reason: Refutation
% 26.23/4.46 % (1749295)Time elapsed: 0.720 s
% 26.23/4.46 % (1749295)Peak memory usage: 138 MB
% 26.23/4.46 % (1749295)Instructions burned: 2182 (million)
% 26.23/4.46 % (1749295)------------------------------
% 26.23/4.46 % (1749295)------------------------------
% 26.23/4.46 % (1749234)Success in time 3.626 s
% 26.23/4.46 % Vampire exiting
%------------------------------------------------------------------------------