%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE048+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:40:12 AM UTC 2026
% Result : Theorem 13.35s 2.85s
% Output : Refutation 14.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 96 ( 54 unt; 2 def)
% Number of atoms : 160 ( 74 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 112 ( 48 ~; 42 |; 12 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 111 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_left) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_right) ).
fof(f18,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f19,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f21,conjecture,
! [X0] :
( test(X0)
=> star(X0) = one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f22,negated_conjecture,
~ ! [X0] :
( test(X0)
=> star(X0) = one ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f25,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f27,plain,
? [X0] :
( one != star(X0)
& test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f28,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f32,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,[],[f18]) ).
fof(f33,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,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f25]) ).
fof(f35,plain,
( one != star(sK1)
& test(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f27]) ).
fof(f36,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f37,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f39,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f41,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f42,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f47,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f28]) ).
fof(f48,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f49,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f50,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f55,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f62,plain,
test(sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f63,plain,
one != star(sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f59]) ).
fof(f65,definition,
sF2 = star(sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f66,plain,
star(sK1) = sF2,
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
one != sF2,
inference(definition_folding,[],[f63,f66]) ).
fof(f70,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f47,f50]) ).
fof(f71,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f47,f49]) ).
fof(f72,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f71,f37]) ).
fof(f73,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f70,f37]) ).
fof(f77,plain,
sF2 = addition(one,addition(multiplication(sF2,sK1),sF2)),
inference(superposition,[],[f73,f66]) ).
fof(f80,plain,
! [X0] :
( ~ test(X0)
| one = addition(c(X0),X0) ),
inference(resolution,[],[f64,f55]) ).
fof(f93,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f48,f39]) ).
fof(f95,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f93]) ).
fof(f101,plain,
! [X0,X1] :
( leq(multiplication(star(X0),X1),one)
| ~ leq(addition(X0,X1),one) ),
inference(superposition,[],[f51,f41]) ).
fof(f107,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f37,f39]) ).
fof(f108,plain,
! [X0,X1] : addition(one,addition(addition(multiplication(X0,star(X0)),star(X0)),X1)) = addition(star(X0),X1),
inference(superposition,[],[f37,f72]) ).
fof(f117,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f36,f37]) ).
fof(f120,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(multiplication(X0,star(X0)),addition(star(X0),X1))),
inference(forward_demodulation,[],[f108,f37]) ).
fof(f125,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,X1)),
inference(superposition,[],[f107,f36]) ).
fof(f129,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f107,f73]) ).
fof(f133,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f48,f107]) ).
fof(f136,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f133]) ).
fof(f152,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f136,f36]) ).
fof(f214,plain,
! [X0] :
( ~ leq(addition(sK1,X0),one)
| leq(multiplication(sF2,X0),one) ),
inference(superposition,[],[f101,f66]) ).
fof(f238,plain,
! [X0,X1] :
( leq(multiplication(X1,star(X0)),one)
| ~ leq(addition(X0,X1),one) ),
inference(superposition,[],[f52,f42]) ).
fof(f250,plain,
! [X0] :
( ~ leq(addition(sK1,X0),one)
| leq(multiplication(X0,sF2),one) ),
inference(superposition,[],[f238,f66]) ).
fof(f253,plain,
one = addition(c(sK1),sK1),
inference(resolution,[],[f80,f62]) ).
fof(f333,plain,
leq(sK1,one),
inference(superposition,[],[f152,f253]) ).
fof(f338,plain,
one = addition(sK1,one),
inference(resolution,[],[f333,f47]) ).
fof(f385,definition,
( spl3_10
<=> leq(sF2,one) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f386,plain,
( leq(sF2,one)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f387,plain,
( ~ leq(sF2,one)
| spl3_10 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f450,plain,
( ~ leq(one,one)
| leq(multiplication(one,sF2),one) ),
inference(superposition,[],[f250,f338]) ).
fof(f456,plain,
leq(multiplication(one,sF2),one),
inference(forward_subsumption_resolution,[],[f450,f95]) ).
fof(f457,plain,
leq(sF2,one),
inference(forward_demodulation,[],[f456,f42]) ).
fof(f458,plain,
( $false
| spl3_10 ),
inference(forward_subsumption_resolution,[],[f457,f387]) ).
fof(f459,plain,
spl3_10,
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f461,plain,
( one = addition(sF2,one)
| ~ spl3_10 ),
inference(resolution,[],[f386,f47]) ).
fof(f820,plain,
( ~ leq(sK1,one)
| leq(multiplication(sF2,sK1),one) ),
inference(superposition,[],[f214,f39]) ).
fof(f827,plain,
leq(multiplication(sF2,sK1),one),
inference(forward_subsumption_resolution,[],[f820,f333]) ).
fof(f833,plain,
one = addition(multiplication(sF2,sK1),one),
inference(resolution,[],[f827,f47]) ).
fof(f1519,plain,
! [X0,X1] : addition(X1,star(X0)) = addition(addition(multiplication(X0,star(X0)),star(X0)),addition(X1,one)),
inference(superposition,[],[f117,f72]) ).
fof(f1526,plain,
! [X0,X1] : addition(X1,star(X0)) = addition(star(X0),addition(X1,one)),
inference(superposition,[],[f117,f129]) ).
fof(f1689,plain,
! [X0,X1] : addition(X1,star(X0)) = addition(multiplication(X0,star(X0)),addition(star(X0),addition(X1,one))),
inference(forward_demodulation,[],[f1519,f37]) ).
fof(f1712,plain,
! [X0,X1] : addition(X1,star(X0)) = addition(multiplication(X0,star(X0)),addition(X1,star(X0))),
inference(forward_demodulation,[],[f1689,f1526]) ).
fof(f1772,plain,
! [X0,X1] : addition(X0,star(X1)) = addition(one,addition(multiplication(X1,star(X1)),addition(X0,star(X1)))),
inference(superposition,[],[f120,f36]) ).
fof(f1802,plain,
! [X0,X1] : addition(X0,star(X1)) = addition(one,addition(X0,star(X1))),
inference(forward_demodulation,[],[f1772,f1712]) ).
fof(f1811,plain,
! [X0] : addition(X0,sF2) = addition(one,addition(X0,sF2)),
inference(superposition,[],[f1802,f66]) ).
fof(f2034,plain,
! [X0] : addition(X0,sF2) = addition(X0,addition(sF2,one)),
inference(superposition,[],[f117,f1811]) ).
fof(f2054,plain,
( ! [X0] : addition(X0,one) = addition(X0,sF2)
| ~ spl3_10 ),
inference(forward_demodulation,[],[f2034,f461]) ).
fof(f2082,plain,
( sF2 = addition(one,addition(multiplication(sF2,sK1),one))
| ~ spl3_10 ),
inference(superposition,[],[f77,f2054]) ).
fof(f2115,plain,
( sF2 = addition(multiplication(sF2,sK1),one)
| ~ spl3_10 ),
inference(forward_demodulation,[],[f2082,f125]) ).
fof(f2130,plain,
( one = sF2
| ~ spl3_10 ),
inference(forward_demodulation,[],[f2115,f833]) ).
fof(f2140,plain,
( $false
| ~ spl3_10 ),
inference(forward_subsumption_resolution,[],[f2130,f67]) ).
fof(f2141,plain,
~ spl3_10,
inference(avatar_contradiction_clause,[],[f2140]) ).
cnf(s9,plain,
spl3_10,
inference(sat_conversion,[],[f459]) ).
cnf(s37,plain,
~ spl3_10,
inference(sat_conversion,[],[f2141]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s9,s37]) ).
fof(f2143,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE048+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/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 13:08:42 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.35/2.85 % (2834245)Detected formulas, will run a generic FOF schedule.
% 13.35/2.85 % (2834271)dis-21_1_sil=8000:lcm=predicate:random_seed=1328375477: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)
% 13.35/2.85 % (2834271)Refutation not found, incomplete strategy
% 13.35/2.85 % (2834271)------------------------------
% 13.35/2.85 % (2834271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834271)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834271)Termination reason: Refutation not found, incomplete strategy
% 13.35/2.85 % (2834271)Time elapsed: 0.003 s
% 13.35/2.85 % (2834271)Peak memory usage: 88 MB
% 13.35/2.85 % (2834271)Instructions burned: 2 (million)
% 13.35/2.85 % (2834264)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=1123320392:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.35/2.85 % (2834265)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=4159970445:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.35/2.85 % (2834266)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=2390045119:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.35/2.85 % (2834267)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2220452292:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.35/2.85 % (2834267)Refutation not found, incomplete strategy
% 13.35/2.85 % (2834267)------------------------------
% 13.35/2.85 % (2834267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834267)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834267)Termination reason: Refutation not found, incomplete strategy
% 13.35/2.85 % (2834267)Time elapsed: 0.002 s
% 13.35/2.85 % (2834267)Peak memory usage: 88 MB
% 13.35/2.85 % (2834268)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=846644216:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.35/2.85 % (2834269)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3136526410:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.35/2.85 % (2834268)Instruction limit reached!
% 13.35/2.85 % (2834268)------------------------------
% 13.35/2.85 % (2834268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834268)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834268)Termination reason: Instruction limit
% 13.35/2.85 % (2834268)Termination phase: Saturation
% 13.35/2.85 % (2834268)Time elapsed: 0.112 s
% 13.35/2.85 % (2834268)Peak memory usage: 89 MB
% 13.35/2.85 % (2834268)Instructions burned: 119 (million)
% 13.35/2.85 % (2834269)Instruction limit reached!
% 13.35/2.85 % (2834269)------------------------------
% 13.35/2.85 % (2834269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834269)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834269)Termination reason: Instruction limit
% 13.35/2.85 % (2834269)Termination phase: Saturation
% 13.35/2.85 % (2834269)Time elapsed: 0.135 s
% 13.35/2.85 % (2834269)Peak memory usage: 90 MB
% 13.35/2.85 % (2834269)Instructions burned: 139 (million)
% 13.35/2.85 % (2834271)------------------------------
% 13.35/2.85 % (2834271)------------------------------
% 13.35/2.85 % (2834287)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2364451201:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.35/2.85 % (2834281)lrs+10_1_sil=8000:sp=occurrence:random_seed=2202713119:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 13.35/2.85 % (2834285)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2770049562:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.35/2.85 % (2834267)------------------------------
% 13.35/2.85 % (2834267)------------------------------
% 13.35/2.85 % (2834287)Instruction limit reached!
% 13.35/2.85 % (2834287)------------------------------
% 13.35/2.85 % (2834287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834287)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834287)Termination reason: Instruction limit
% 13.35/2.85 % (2834287)Termination phase: Saturation
% 13.35/2.85 % (2834287)Time elapsed: 0.121 s
% 13.35/2.85 % (2834287)Peak memory usage: 91 MB
% 13.35/2.85 % (2834287)Instructions burned: 327 (million)
% 13.35/2.85 % (2834285)Instruction limit reached!
% 13.35/2.85 % (2834285)------------------------------
% 13.35/2.85 % (2834285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834285)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834285)Termination reason: Instruction limit
% 13.35/2.85 % (2834285)Termination phase: Saturation
% 13.35/2.85 % (2834285)Time elapsed: 0.152 s
% 13.35/2.85 % (2834285)Peak memory usage: 90 MB
% 13.35/2.85 % (2834285)Instructions burned: 157 (million)
% 13.35/2.85 % (2834293)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2851170890:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 13.35/2.85 % (2834293)Refutation not found, incomplete strategy
% 13.35/2.85 % (2834293)------------------------------
% 13.35/2.85 % (2834293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834293)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834293)Termination reason: Refutation not found, incomplete strategy
% 13.35/2.85 % (2834293)Time elapsed: 0.001 s
% 13.35/2.85 % (2834293)Peak memory usage: 88 MB
% 13.35/2.85 % (2834293)Instructions burned: 1 (million)
% 13.35/2.85 % (2834281)Instruction limit reached!
% 13.35/2.85 % (2834281)------------------------------
% 13.35/2.85 % (2834281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834281)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834281)Termination reason: Instruction limit
% 13.35/2.85 % (2834281)Termination phase: Saturation
% 13.35/2.85 % (2834281)Time elapsed: 0.258 s
% 13.35/2.85 % (2834281)Peak memory usage: 91 MB
% 13.35/2.85 % (2834281)Instructions burned: 286 (million)
% 13.35/2.85 % (2834292)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=3054725351:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 13.35/2.85 % (2834300)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1330326978:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 13.35/2.85 % (2834293)------------------------------
% 13.35/2.85 % (2834293)------------------------------
% 13.35/2.85 % (2834297)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2739176096:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.35/2.85 % (2834292)Instruction limit reached!
% 13.35/2.85 % (2834292)------------------------------
% 13.35/2.85 % (2834292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834292)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834292)Termination reason: Instruction limit
% 13.35/2.85 % (2834292)Termination phase: Saturation
% 13.35/2.85 % (2834292)Time elapsed: 0.240 s
% 13.35/2.85 % (2834292)Peak memory usage: 92 MB
% 13.35/2.85 % (2834292)Instructions burned: 248 (million)
% 13.35/2.85 % (2834300)Instruction limit reached!
% 13.35/2.85 % (2834300)------------------------------
% 13.35/2.85 % (2834300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834300)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834300)Termination reason: Instruction limit
% 13.35/2.85 % (2834300)Termination phase: Saturation
% 13.35/2.85 % (2834300)Time elapsed: 0.129 s
% 13.35/2.85 % (2834300)Peak memory usage: 90 MB
% 13.35/2.85 % (2834300)Instructions burned: 113 (million)
% 13.35/2.85 % (2834307)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=633978008:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 13.35/2.85 % (2834266)Refutation not found, incomplete strategy
% 13.35/2.85 % (2834266)------------------------------
% 13.35/2.85 % (2834266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834266)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834266)Termination reason: Refutation not found, incomplete strategy
% 13.35/2.85 % (2834266)Time elapsed: 0.917 s
% 13.35/2.85 % (2834266)Peak memory usage: 127 MB
% 13.35/2.85 % (2834266)Instructions burned: 888 (million)
% 13.35/2.85 % (2834307)Instruction limit reached!
% 13.35/2.85 % (2834307)------------------------------
% 13.35/2.85 % (2834307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834307)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834307)Termination reason: Instruction limit
% 13.35/2.85 % (2834307)Termination phase: Saturation
% 13.35/2.85 % (2834307)Time elapsed: 0.047 s
% 13.35/2.85 % (2834307)Peak memory usage: 88 MB
% 13.35/2.85 % (2834307)Instructions burned: 128 (million)
% 13.35/2.85 % (2834311)lrs+10_1_sil=8000:sp=occurrence:random_seed=185983243:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 13.35/2.85 % (2834310)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1485612665:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 13.35/2.85 % (2834310)Refutation not found, incomplete strategy
% 13.35/2.85 % (2834310)------------------------------
% 13.35/2.85 % (2834310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834310)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834310)Termination reason: Refutation not found, incomplete strategy
% 13.35/2.85 % (2834310)Time elapsed: 0.002 s
% 13.35/2.85 % (2834310)Peak memory usage: 88 MB
% 13.35/2.85 % (2834313)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2874371672:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 13.35/2.85 % (2834313)Refutation not found, incomplete strategy
% 13.35/2.85 % (2834313)------------------------------
% 13.35/2.85 % (2834313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834313)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834313)Termination reason: Refutation not found, incomplete strategy
% 13.35/2.85 % (2834313)Time elapsed: 0.001 s
% 13.35/2.85 % (2834313)Peak memory usage: 88 MB
% 13.35/2.85 % (2834266)------------------------------
% 13.35/2.85 % (2834266)------------------------------
% 13.35/2.85 % (2834313)------------------------------
% 13.35/2.85 % (2834313)------------------------------
% 13.35/2.85 % (2834264)First to succeed.
% 13.35/2.85 % (2834264)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2834245"
% 13.35/2.85 % (2834311)Also succeeded, but the first one will report.
% 13.35/2.85 % (2834323)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=259631859:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 13.35/2.85 % (2834323)Refutation not found, incomplete strategy
% 13.35/2.85 % (2834323)------------------------------
% 13.35/2.85 % (2834323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.35/2.85 % (2834323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.35/2.85 % (2834323)CaDiCaL version: 2.1.3
% 13.35/2.85 % (2834323)Termination reason: Refutation not found, incomplete strategy
% 13.35/2.85 % (2834323)Time elapsed: 0.002 s
% 13.35/2.85 % (2834323)Peak memory usage: 89 MB
% 13.35/2.85 % (2834323)Instructions burned: 1 (million)
% 13.35/2.85 % (2834310)------------------------------
% 13.35/2.85 % (2834310)------------------------------
% 13.35/2.85 % (2834321)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3850439252:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 13.35/2.85 % (2834265)Also succeeded, but the first one will report.
% 13.35/2.85 % (2834323)------------------------------
% 13.35/2.85 % (2834323)------------------------------
% 13.35/2.85 % (2834327)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2801657120:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 13.35/2.85 % (2834264)Refutation found. Thanks to Tanya!
% 13.35/2.85 % SZS status Theorem for theBenchmark
% 13.35/2.85 % SZS output start Proof for theBenchmark
% See solution above
% 14.59/3.15 % (2834264)------------------------------
% 14.59/3.15 % (2834264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.59/3.15 % (2834264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.59/3.15 % (2834264)CaDiCaL version: 2.1.3
% 14.59/3.15 % (2834264)Termination reason: Refutation
% 14.59/3.15 % (2834264)Time elapsed: 1.358 s
% 14.59/3.15 % (2834264)Peak memory usage: 132 MB
% 14.59/3.15 % (2834264)Instructions burned: 1245 (million)
% 14.59/3.15 % (2834264)------------------------------
% 14.59/3.15 % (2834264)------------------------------
% 14.59/3.15 % (2834245)Success in time 1.967 s
% 14.59/3.15 % Vampire exiting
%------------------------------------------------------------------------------