%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE027+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:40:07 AM UTC 2026
% Result : Theorem 9.34s 2.18s
% Output : Refutation 9.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 23
% Syntax : Number of formulae : 104 ( 60 unt; 11 def)
% Number of atoms : 182 ( 84 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 131 ( 53 ~; 48 |; 19 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 80 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f19,conjecture,
! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> ( leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))
& leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> ( leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))
& leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f22,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f29,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))
| ~ leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) )
& test(X3)
& test(X4) ),
inference(ennf_transformation,[],[f20]) ).
fof(f30,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))
| ~ leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) )
& test(X3)
& test(X4) ),
inference(flattening,[],[f29]) ).
fof(f34,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f35,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f37,plain,
( ( ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)))
| ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3))) )
& test(sK4)
& test(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f30]) ).
fof(f38,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f48,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f54,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f62,plain,
test(sK4),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
( ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)))
| ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3))) ),
inference(cnf_transformation,[],[f37]) ).
fof(f64,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f56]) ).
fof(f65,definition,
sF6 = multiplication(sK4,sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f66,plain,
multiplication(sK4,sK1) = sF6,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF7 = c(sK4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f68,plain,
c(sK4) = sF7,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF8 = multiplication(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f70,plain,
multiplication(sF7,sK2) = sF8,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF9 = addition(sF6,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f72,plain,
addition(sF6,sF8) = sF9,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF10 = multiplication(sK4,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f74,plain,
multiplication(sK4,sF9) = sF10,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF11 = multiplication(sF7,sK3),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f76,plain,
multiplication(sF7,sK3) = sF11,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF12 = addition(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f78,plain,
addition(sF10,sF11) = sF12,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF13 = addition(sF6,sF11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f80,plain,
addition(sF6,sF11) = sF13,
inference(reorient_equations,[],[f79]) ).
fof(f81,plain,
( ~ leq(sF12,sF13)
| ~ leq(sF13,sF12) ),
inference(definition_folding,[],[f63,f78,f76,f68,f74,f72,f70,f68,f66,f80,f76,f68,f66,f80,f76,f68,f66,f78,f76,f68,f74,f72,f70,f68,f66]) ).
fof(f83,definition,
( spl14_1
<=> leq(sF13,sF12) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f85,plain,
( ~ leq(sF13,sF12)
| spl14_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl14_2
<=> leq(sF12,sF13) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f89,plain,
( ~ leq(sF12,sF13)
| spl14_2 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f81,f87,f83]) ).
fof(f171,plain,
( complement(sK4,sF7)
| ~ test(sK4) ),
inference(superposition,[],[f64,f68]) ).
fof(f172,plain,
complement(sK4,sF7),
inference(forward_subsumption_resolution,[],[f171,f62]) ).
fof(f218,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f49,f41]) ).
fof(f223,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f218]) ).
fof(f283,plain,
one = addition(sF7,sK4),
inference(resolution,[],[f172,f52]) ).
fof(f814,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f38,f40]) ).
fof(f1021,plain,
zero = multiplication(sF7,sK4),
inference(resolution,[],[f54,f172]) ).
fof(f1025,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF7,multiplication(sK4,X0)),
inference(superposition,[],[f42,f1021]) ).
fof(f1042,plain,
! [X0] : zero = multiplication(sF7,multiplication(sK4,X0)),
inference(forward_demodulation,[],[f1025,f48]) ).
fof(f1207,plain,
zero = multiplication(sF7,sF6),
inference(superposition,[],[f1042,f66]) ).
fof(f1247,plain,
! [X0] : multiplication(addition(sF7,X0),sF6) = addition(zero,multiplication(X0,sF6)),
inference(superposition,[],[f46,f1207]) ).
fof(f1258,plain,
! [X0] : multiplication(X0,sF6) = multiplication(addition(sF7,X0),sF6),
inference(forward_demodulation,[],[f1247,f814]) ).
fof(f1299,plain,
multiplication(sK4,sF6) = multiplication(one,sF6),
inference(superposition,[],[f1258,f283]) ).
fof(f1325,plain,
sF6 = multiplication(sK4,sF6),
inference(forward_demodulation,[],[f1299,f44]) ).
fof(f1383,definition,
( spl14_18
<=> sF6 = sF10 ),
introduced(definition,[new_symbols(definition,[spl14_18])],[avatar_definition]) ).
fof(f1384,plain,
( sF6 = sF10
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1385,plain,
( sF6 != sF10
| spl14_18 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1509,plain,
zero = multiplication(sK4,sF7),
inference(resolution,[],[f53,f172]) ).
fof(f1516,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK4,multiplication(sF7,X0)),
inference(superposition,[],[f42,f1509]) ).
fof(f1535,plain,
! [X0] : zero = multiplication(sK4,multiplication(sF7,X0)),
inference(forward_demodulation,[],[f1516,f48]) ).
fof(f1666,plain,
zero = multiplication(sK4,sF8),
inference(superposition,[],[f1535,f70]) ).
fof(f1761,plain,
! [X0] : addition(multiplication(sK4,X0),zero) = multiplication(sK4,addition(X0,sF8)),
inference(superposition,[],[f45,f1666]) ).
fof(f1776,plain,
! [X0] : multiplication(sK4,X0) = multiplication(sK4,addition(X0,sF8)),
inference(forward_demodulation,[],[f1761,f40]) ).
fof(f2347,plain,
multiplication(sK4,sF9) = multiplication(sK4,sF6),
inference(superposition,[],[f1776,f72]) ).
fof(f2377,plain,
sF6 = multiplication(sK4,sF9),
inference(forward_demodulation,[],[f2347,f1325]) ).
fof(f2387,plain,
sF6 = sF10,
inference(forward_demodulation,[],[f2377,f74]) ).
fof(f2392,plain,
( $false
| spl14_18 ),
inference(forward_subsumption_resolution,[],[f2387,f1385]) ).
fof(f2393,plain,
spl14_18,
inference(avatar_contradiction_clause,[],[f2392]) ).
fof(f2667,plain,
( sF12 = addition(sF6,sF11)
| ~ spl14_18 ),
inference(superposition,[],[f78,f1384]) ).
fof(f2681,plain,
( sF12 = sF13
| ~ spl14_18 ),
inference(forward_demodulation,[],[f2667,f80]) ).
fof(f2686,plain,
( ~ leq(sF12,sF12)
| spl14_1
| ~ spl14_18 ),
inference(superposition,[],[f85,f2681]) ).
fof(f2687,plain,
( $false
| spl14_1
| ~ spl14_18 ),
inference(forward_subsumption_resolution,[],[f2686,f223]) ).
fof(f2688,plain,
( spl14_1
| ~ spl14_18 ),
inference(avatar_contradiction_clause,[],[f2687]) ).
fof(f2691,plain,
( ~ leq(sF12,sF12)
| spl14_2
| ~ spl14_18 ),
inference(forward_demodulation,[],[f89,f2681]) ).
fof(f2692,plain,
( $false
| spl14_2
| ~ spl14_18 ),
inference(forward_subsumption_resolution,[],[f2691,f223]) ).
fof(f2693,plain,
( spl14_2
| ~ spl14_18 ),
inference(avatar_contradiction_clause,[],[f2692]) ).
cnf(s1,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f90]) ).
cnf(s15,plain,
spl14_18,
inference(sat_conversion,[],[f2393]) ).
cnf(s16,plain,
( spl14_1
| ~ spl14_18 ),
inference(sat_conversion,[],[f2688]) ).
cnf(s17,plain,
( spl14_2
| ~ spl14_18 ),
inference(sat_conversion,[],[f2693]) ).
cnf(s18,plain,
spl14_2,
inference(rat,[],[s17,s15]) ).
cnf(s19,plain,
spl14_1,
inference(rat,[],[s16,s15]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s1,s18,s19]) ).
fof(f2694,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE027+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:07:26 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 9.34/2.18 % (2830102)Detected formulas, will run a generic FOF schedule.
% 9.34/2.18 % (2830112)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3919173616:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.34/2.18 % (2830108)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3264412273:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.34/2.18 % (2830109)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=527565061:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.34/2.18 % (2830107)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=1229802448:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.34/2.18 % (2830110)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2720719813:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.34/2.18 % (2830110)Refutation not found, incomplete strategy
% 9.34/2.18 % (2830110)------------------------------
% 9.34/2.18 % (2830110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830110)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830110)Termination reason: Refutation not found, incomplete strategy
% 9.34/2.18 % (2830110)Time elapsed: 0.002 s
% 9.34/2.18 % (2830110)Peak memory usage: 88 MB
% 9.34/2.18 % (2830110)Instructions burned: 1 (million)
% 9.34/2.18 % (2830112)Instruction limit reached!
% 9.34/2.18 % (2830112)------------------------------
% 9.34/2.18 % (2830112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830112)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830112)Termination reason: Instruction limit
% 9.34/2.18 % (2830112)Termination phase: Saturation
% 9.34/2.18 % (2830112)Time elapsed: 0.046 s
% 9.34/2.18 % (2830112)Peak memory usage: 90 MB
% 9.34/2.18 % (2830112)Instructions burned: 142 (million)
% 9.34/2.18 % (2830113)dis-21_1_sil=8000:lcm=predicate:random_seed=3347602077:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.34/2.18 % (2830111)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3188531822:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.34/2.18 % (2830113)Refutation not found, incomplete strategy
% 9.34/2.18 % (2830113)------------------------------
% 9.34/2.18 % (2830113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830113)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830113)Termination reason: Refutation not found, incomplete strategy
% 9.34/2.18 % (2830113)Time elapsed: 0.003 s
% 9.34/2.18 % (2830113)Peak memory usage: 88 MB
% 9.34/2.18 % (2830113)Instructions burned: 2 (million)
% 9.34/2.18 % (2830111)Instruction limit reached!
% 9.34/2.18 % (2830111)------------------------------
% 9.34/2.18 % (2830111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830111)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830111)Termination reason: Instruction limit
% 9.34/2.18 % (2830111)Termination phase: Saturation
% 9.34/2.18 % (2830111)Time elapsed: 0.068 s
% 9.34/2.18 % (2830111)Peak memory usage: 88 MB
% 9.34/2.18 % (2830111)Instructions burned: 121 (million)
% 9.34/2.18 % (2830119)lrs+10_1_sil=8000:sp=occurrence:random_seed=634642337:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.34/2.18 % (2830119)Instruction limit reached!
% 9.34/2.18 % (2830119)------------------------------
% 9.34/2.18 % (2830119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830119)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830119)Termination reason: Instruction limit
% 9.34/2.18 % (2830119)Termination phase: Saturation
% 9.34/2.18 % (2830119)Time elapsed: 0.097 s
% 9.34/2.18 % (2830119)Peak memory usage: 91 MB
% 9.34/2.18 % (2830119)Instructions burned: 288 (million)
% 9.34/2.18 % (2830122)lrs+10_1_sil=32000:urr=on:br=off:random_seed=80539782:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.34/2.18 % (2830110)------------------------------
% 9.34/2.18 % (2830110)------------------------------
% 9.34/2.18 % (2830113)------------------------------
% 9.34/2.18 % (2830113)------------------------------
% 9.34/2.18 % (2830124)lrs+1011_1_sil=32000:sp=occurrence:random_seed=690269555:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.34/2.18 % (2830122)Instruction limit reached!
% 9.34/2.18 % (2830122)------------------------------
% 9.34/2.18 % (2830122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830122)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830122)Termination reason: Instruction limit
% 9.34/2.18 % (2830122)Termination phase: Saturation
% 9.34/2.18 % (2830122)Time elapsed: 0.098 s
% 9.34/2.18 % (2830122)Peak memory usage: 90 MB
% 9.34/2.18 % (2830122)Instructions burned: 158 (million)
% 9.34/2.18 % (2830126)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1814096270:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.34/2.18 % (2830124)Instruction limit reached!
% 9.34/2.18 % (2830124)------------------------------
% 9.34/2.18 % (2830124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830124)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830124)Termination reason: Instruction limit
% 9.34/2.18 % (2830124)Termination phase: Saturation
% 9.34/2.18 % (2830124)Time elapsed: 0.107 s
% 9.34/2.18 % (2830124)Peak memory usage: 92 MB
% 9.34/2.18 % (2830124)Instructions burned: 327 (million)
% 9.34/2.18 % (2830127)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=617277337:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.34/2.18 % (2830129)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2674410653:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.34/2.18 % (2830132)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2978949455:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.34/2.18 % (2830132)Instruction limit reached!
% 9.34/2.18 % (2830132)------------------------------
% 9.34/2.18 % (2830132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830132)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830132)Termination reason: Instruction limit
% 9.34/2.18 % (2830132)Termination phase: Saturation
% 9.34/2.18 % (2830132)Time elapsed: 0.040 s
% 9.34/2.18 % (2830132)Peak memory usage: 90 MB
% 9.34/2.18 % (2830132)Instructions burned: 115 (million)
% 9.34/2.18 % (2830126)Instruction limit reached!
% 9.34/2.18 % (2830126)------------------------------
% 9.34/2.18 % (2830126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830126)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830126)Termination reason: Instruction limit
% 9.34/2.18 % (2830126)Termination phase: Saturation
% 9.34/2.18 % (2830126)Time elapsed: 0.157 s
% 9.34/2.18 % (2830126)Peak memory usage: 92 MB
% 9.34/2.18 % (2830126)Instructions burned: 249 (million)
% 9.34/2.18 % (2830127)Instruction limit reached!
% 9.34/2.18 % (2830127)------------------------------
% 9.34/2.18 % (2830127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830127)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830127)Termination reason: Instruction limit
% 9.34/2.18 % (2830127)Termination phase: Saturation
% 9.34/2.18 % (2830127)Time elapsed: 0.178 s
% 9.34/2.18 % (2830127)Peak memory usage: 90 MB
% 9.34/2.18 % (2830127)Instructions burned: 294 (million)
% 9.34/2.18 % (2830135)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1455860991:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.34/2.18 % (2830135)Instruction limit reached!
% 9.34/2.18 % (2830135)------------------------------
% 9.34/2.18 % (2830135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830135)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830135)Termination reason: Instruction limit
% 9.34/2.18 % (2830135)Termination phase: Saturation
% 9.34/2.18 % (2830135)Time elapsed: 0.029 s
% 9.34/2.18 % (2830135)Peak memory usage: 88 MB
% 9.34/2.18 % (2830135)Instructions burned: 131 (million)
% 9.34/2.18 % (2830136)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2932518006:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.34/2.18 % (2830137)lrs+10_1_sil=8000:sp=occurrence:random_seed=873599381:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.34/2.18 % (2830139)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2014500615:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.34/2.18 % (2830139)Refutation not found, incomplete strategy
% 9.34/2.18 % (2830139)------------------------------
% 9.34/2.18 % (2830139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830139)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830139)Termination reason: Refutation not found, incomplete strategy
% 9.34/2.18 % (2830139)Time elapsed: 0.001 s
% 9.34/2.18 % (2830139)Peak memory usage: 88 MB
% 9.34/2.18 % (2830139)Instructions burned: 1 (million)
% 9.34/2.18 % (2830136)Instruction limit reached!
% 9.34/2.18 % (2830136)------------------------------
% 9.34/2.18 % (2830136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830136)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830136)Termination reason: Instruction limit
% 9.34/2.18 % (2830136)Termination phase: Saturation
% 9.34/2.18 % (2830136)Time elapsed: 0.064 s
% 9.34/2.18 % (2830136)Peak memory usage: 89 MB
% 9.34/2.18 % (2830136)Instructions burned: 114 (million)
% 9.34/2.18 % (2830143)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2706045846:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.34/2.18 % (2830107)First to succeed.
% 9.34/2.18 % (2830107)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2830102"
% 9.34/2.18 % (2830139)------------------------------
% 9.34/2.18 % (2830139)------------------------------
% 9.34/2.18 % (2830145)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2882683726:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 9.34/2.18 % (2830145)Refutation not found, incomplete strategy
% 9.34/2.18 % (2830145)------------------------------
% 9.34/2.18 % (2830145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.18 % (2830145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.18 % (2830145)CaDiCaL version: 2.1.3
% 9.34/2.18 % (2830145)Termination reason: Refutation not found, incomplete strategy
% 9.34/2.18 % (2830145)Time elapsed: 0.002 s
% 9.34/2.18 % (2830145)Peak memory usage: 89 MB
% 9.34/2.18 % (2830145)Instructions burned: 3 (million)
% 9.34/2.18 % (2830145)------------------------------
% 9.34/2.18 % (2830145)------------------------------
% 9.34/2.18 % (2830107)Refutation found. Thanks to Tanya!
% 9.34/2.18 % SZS status Theorem for theBenchmark
% 9.34/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 9.82/2.37 % (2830107)------------------------------
% 9.82/2.37 % (2830107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.37 % (2830107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.37 % (2830107)CaDiCaL version: 2.1.3
% 9.82/2.37 % (2830107)Termination reason: Refutation
% 9.82/2.37 % (2830107)Time elapsed: 0.898 s
% 9.82/2.37 % (2830107)Peak memory usage: 132 MB
% 9.82/2.37 % (2830107)Instructions burned: 1354 (million)
% 9.82/2.37 % (2830107)------------------------------
% 9.82/2.37 % (2830107)------------------------------
% 9.82/2.37 % (2830102)Success in time 1.308 s
% 9.82/2.37 % Vampire exiting
%------------------------------------------------------------------------------