%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE068+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 : n015.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 11:40:15 AM UTC 2026
% Result : Theorem 10.95s 2.43s
% Output : Refutation 11.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 86 unt; 4 def)
% Number of atoms : 86 ( 85 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 89 ( 87 !; 2 ?)
% 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(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(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).
fof(f18,conjecture,
! [X0,X1] : domain(multiplication(domain(X0),domain(X1))) = multiplication(domain(X0),domain(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0,X1] : domain(multiplication(domain(X0),domain(X1))) = multiplication(domain(X0),domain(X1)),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0,X1] : multiplication(domain(X0),domain(X1)) != domain(multiplication(domain(X0),domain(X1))),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
multiplication(domain(sK0),domain(sK1)) != domain(multiplication(domain(sK0),domain(sK1))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f22,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f35,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
multiplication(domain(sK0),domain(sK1)) != domain(multiplication(domain(sK0),domain(sK1))),
inference(cnf_transformation,[],[f21]) ).
fof(f39,definition,
sF2 = domain(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f40,plain,
domain(sK0) = sF2,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF3 = domain(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f42,plain,
domain(sK1) = sF3,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF4 = multiplication(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f44,plain,
multiplication(sF2,sF3) = sF4,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF5 = domain(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f46,plain,
domain(sF4) = sF5,
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
sF4 != sF5,
inference(definition_folding,[],[f38,f46,f44,f42,f40,f44,f42,f40]) ).
fof(f50,plain,
! [X0] : domain(multiplication(X0,sK1)) = domain(multiplication(X0,sF3)),
inference(superposition,[],[f34,f42]) ).
fof(f57,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f34,f28]) ).
fof(f58,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f57,f28]) ).
fof(f61,plain,
sF2 = domain(sF2),
inference(superposition,[],[f58,f40]) ).
fof(f65,plain,
! [X0] : multiplication(sF2,addition(sF3,X0)) = addition(sF4,multiplication(sF2,X0)),
inference(superposition,[],[f29,f44]) ).
fof(f82,plain,
! [X0] : domain(addition(sK1,X0)) = addition(sF3,domain(X0)),
inference(superposition,[],[f37,f42]) ).
fof(f83,plain,
! [X0] : domain(addition(sF4,X0)) = addition(sF5,domain(X0)),
inference(superposition,[],[f37,f46]) ).
fof(f102,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f28]) ).
fof(f104,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f30,f28]) ).
fof(f144,plain,
one = addition(sF2,one),
inference(superposition,[],[f35,f40]) ).
fof(f145,plain,
one = addition(sF3,one),
inference(superposition,[],[f35,f42]) ).
fof(f150,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f22,f35]) ).
fof(f229,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f33,f102]) ).
fof(f234,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[],[f229,f150]) ).
fof(f245,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f234,f28]) ).
fof(f263,plain,
! [X0,X1] : multiplication(domain(X0),addition(X0,X1)) = addition(X0,multiplication(domain(X0),X1)),
inference(superposition,[],[f29,f245]) ).
fof(f265,plain,
! [X0,X1] : addition(multiplication(X1,X0),X0) = multiplication(addition(X1,domain(X0)),X0),
inference(superposition,[],[f30,f245]) ).
fof(f451,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f23,f29]) ).
fof(f757,plain,
multiplication(sF2,one) = addition(sF4,multiplication(sF2,one)),
inference(superposition,[],[f65,f145]) ).
fof(f762,plain,
sF2 = addition(sF4,sF2),
inference(forward_demodulation,[],[f757,f27]) ).
fof(f999,plain,
! [X0,X1] : multiplication(one,X1) = addition(multiplication(domain(X0),X1),X1),
inference(superposition,[],[f104,f35]) ).
fof(f1000,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(sF2,X0),X0),
inference(superposition,[],[f104,f144]) ).
fof(f1071,plain,
! [X0] : addition(multiplication(sF2,X0),X0) = X0,
inference(forward_demodulation,[],[f1000,f28]) ).
fof(f1072,plain,
! [X0,X1] : addition(multiplication(domain(X0),X1),X1) = X1,
inference(forward_demodulation,[],[f999,f28]) ).
fof(f1122,plain,
! [X0] : addition(X0,multiplication(sF2,X0)) = X0,
inference(superposition,[],[f22,f1071]) ).
fof(f1248,plain,
domain(sK1) = addition(sF3,domain(multiplication(sF2,sK1))),
inference(superposition,[],[f82,f1122]) ).
fof(f1253,plain,
domain(sK1) = addition(sF3,domain(multiplication(sF2,sF3))),
inference(forward_demodulation,[],[f1248,f50]) ).
fof(f1267,plain,
domain(sK1) = addition(sF3,domain(sF4)),
inference(forward_demodulation,[],[f1253,f44]) ).
fof(f1276,plain,
domain(sK1) = addition(sF3,sF5),
inference(forward_demodulation,[],[f1267,f46]) ).
fof(f1279,plain,
sF3 = addition(sF3,sF5),
inference(forward_demodulation,[],[f1276,f42]) ).
fof(f1280,plain,
multiplication(sF2,sF3) = addition(sF4,multiplication(sF2,sF5)),
inference(superposition,[],[f65,f1279]) ).
fof(f1285,plain,
sF4 = addition(sF4,multiplication(sF2,sF5)),
inference(forward_demodulation,[],[f1280,f44]) ).
fof(f1436,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f451,f30]) ).
fof(f1607,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(X1,one)) = addition(multiplication(X0,sF3),multiplication(addition(X0,X1),one)),
inference(superposition,[],[f1436,f145]) ).
fof(f1774,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(X1,one)) = addition(multiplication(X0,sF3),addition(X0,X1)),
inference(forward_demodulation,[],[f1607,f27]) ).
fof(f1835,plain,
! [X0,X1] : multiplication(addition(X0,X1),one) = addition(multiplication(X0,sF3),addition(X0,X1)),
inference(forward_demodulation,[],[f1774,f30]) ).
fof(f1872,plain,
! [X0,X1] : addition(X0,X1) = addition(multiplication(X0,sF3),addition(X0,X1)),
inference(forward_demodulation,[],[f1835,f27]) ).
fof(f2695,plain,
! [X0,X1] : addition(multiplication(domain(X0),X1),X1) = multiplication(domain(addition(X0,X1)),X1),
inference(superposition,[],[f265,f37]) ).
fof(f2762,plain,
! [X0,X1] : multiplication(domain(addition(X0,X1)),X1) = X1,
inference(forward_demodulation,[],[f2695,f1072]) ).
fof(f3191,plain,
one = addition(multiplication(sF2,sF3),one),
inference(superposition,[],[f1872,f144]) ).
fof(f3223,plain,
one = addition(sF4,one),
inference(forward_demodulation,[],[f3191,f44]) ).
fof(f3277,plain,
multiplication(domain(sF4),one) = addition(sF4,multiplication(domain(sF4),one)),
inference(superposition,[],[f263,f3223]) ).
fof(f3284,plain,
domain(sF4) = addition(sF4,domain(sF4)),
inference(forward_demodulation,[],[f3277,f27]) ).
fof(f3288,plain,
sF5 = addition(sF4,sF5),
inference(forward_demodulation,[],[f3284,f46]) ).
fof(f4041,plain,
domain(sF2) = addition(sF5,domain(sF2)),
inference(superposition,[],[f83,f762]) ).
fof(f4101,plain,
sF2 = addition(sF5,sF2),
inference(forward_demodulation,[],[f4041,f61]) ).
fof(f4134,plain,
sF2 = addition(sF2,sF5),
inference(superposition,[],[f22,f4101]) ).
fof(f4177,plain,
sF5 = multiplication(domain(sF2),sF5),
inference(superposition,[],[f2762,f4134]) ).
fof(f4178,plain,
sF5 = multiplication(sF2,sF5),
inference(forward_demodulation,[],[f4177,f61]) ).
fof(f4184,plain,
sF4 = addition(sF4,sF5),
inference(superposition,[],[f1285,f4178]) ).
fof(f4199,plain,
sF4 = sF5,
inference(forward_demodulation,[],[f4184,f3288]) ).
fof(f4201,plain,
$false,
inference(forward_subsumption_resolution,[],[f4199,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE068+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:11:45 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 10.95/2.43 % (1659691)Detected formulas, will run a generic FOF schedule.
% 10.95/2.43 % (1659719)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=3391887800:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.95/2.43 % (1659723)dis-21_1_sil=8000:lcm=predicate:random_seed=985932580: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)
% 10.95/2.43 % (1659723)Refutation not found, incomplete strategy
% 10.95/2.43 % (1659723)------------------------------
% 10.95/2.43 % (1659723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659723)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659723)Termination reason: Refutation not found, incomplete strategy
% 10.95/2.43 % (1659723)Time elapsed: 0.001 s
% 10.95/2.43 % (1659723)Peak memory usage: 88 MB
% 10.95/2.43 % (1659723)Instructions burned: 1 (million)
% 10.95/2.43 % (1659720)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3331923061:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.95/2.43 % (1659721)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=614156794:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.95/2.43 % (1659717)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=1653025888:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.95/2.43 % (1659722)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1913464670:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.95/2.43 % (1659718)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=1697486972:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.95/2.43 % (1659720)Refutation not found, incomplete strategy
% 10.95/2.43 % (1659720)------------------------------
% 10.95/2.43 % (1659720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659720)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659720)Termination reason: Refutation not found, incomplete strategy
% 10.95/2.43 % (1659720)Time elapsed: 0.002 s
% 10.95/2.43 % (1659720)Peak memory usage: 88 MB
% 10.95/2.43 % (1659721)Instruction limit reached!
% 10.95/2.43 % (1659721)------------------------------
% 10.95/2.43 % (1659721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659721)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659721)Termination reason: Instruction limit
% 10.95/2.43 % (1659721)Termination phase: Saturation
% 10.95/2.43 % (1659721)Time elapsed: 0.107 s
% 10.95/2.43 % (1659721)Peak memory usage: 88 MB
% 10.95/2.43 % (1659721)Instructions burned: 119 (million)
% 10.95/2.43 % (1659722)Instruction limit reached!
% 10.95/2.43 % (1659722)------------------------------
% 10.95/2.43 % (1659722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659722)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659722)Termination reason: Instruction limit
% 10.95/2.43 % (1659722)Termination phase: Saturation
% 10.95/2.43 % (1659722)Time elapsed: 0.131 s
% 10.95/2.43 % (1659722)Peak memory usage: 89 MB
% 10.95/2.43 % (1659722)Instructions burned: 140 (million)
% 10.95/2.43 % (1659723)------------------------------
% 10.95/2.43 % (1659723)------------------------------
% 10.95/2.43 % (1659740)lrs+10_1_sil=8000:sp=occurrence:random_seed=3629141122:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 10.95/2.43 % (1659741)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3874476690:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.95/2.43 % (1659742)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2046088881:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.95/2.43 % (1659720)------------------------------
% 10.95/2.43 % (1659720)------------------------------
% 10.95/2.43 % (1659741)Instruction limit reached!
% 10.95/2.43 % (1659741)------------------------------
% 10.95/2.43 % (1659741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659741)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659741)Termination reason: Instruction limit
% 10.95/2.43 % (1659741)Termination phase: Saturation
% 10.95/2.43 % (1659741)Time elapsed: 0.114 s
% 10.95/2.43 % (1659741)Peak memory usage: 90 MB
% 10.95/2.43 % (1659741)Instructions burned: 157 (million)
% 10.95/2.43 % (1659742)Instruction limit reached!
% 10.95/2.43 % (1659742)------------------------------
% 10.95/2.43 % (1659742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659742)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659742)Termination reason: Instruction limit
% 10.95/2.43 % (1659742)Termination phase: Saturation
% 10.95/2.43 % (1659742)Time elapsed: 0.131 s
% 10.95/2.43 % (1659742)Peak memory usage: 91 MB
% 10.95/2.43 % (1659742)Instructions burned: 329 (million)
% 10.95/2.43 % (1659740)Instruction limit reached!
% 10.95/2.43 % (1659740)------------------------------
% 10.95/2.43 % (1659740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659740)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659740)Termination reason: Instruction limit
% 10.95/2.43 % (1659740)Termination phase: Saturation
% 10.95/2.43 % (1659740)Time elapsed: 0.206 s
% 10.95/2.43 % (1659740)Peak memory usage: 91 MB
% 10.95/2.43 % (1659740)Instructions burned: 285 (million)
% 10.95/2.43 % (1659749)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=2064577620:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 10.95/2.43 % (1659751)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3492651577:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.95/2.43 % (1659750)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2696624846:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.95/2.43 % (1659750)Refutation not found, incomplete strategy
% 10.95/2.43 % (1659750)------------------------------
% 10.95/2.43 % (1659750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659750)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659750)Termination reason: Refutation not found, incomplete strategy
% 10.95/2.43 % (1659750)Time elapsed: 0.001 s
% 10.95/2.43 % (1659750)Peak memory usage: 88 MB
% 10.95/2.43 % (1659750)Instructions burned: 1 (million)
% 10.95/2.43 % (1659752)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2927278865:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.95/2.43 % (1659752)Refutation not found, incomplete strategy
% 10.95/2.43 % (1659752)------------------------------
% 10.95/2.43 % (1659752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659752)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659752)Termination reason: Refutation not found, incomplete strategy
% 10.95/2.43 % (1659752)Time elapsed: 0.002 s
% 10.95/2.43 % (1659752)Peak memory usage: 88 MB
% 10.95/2.43 % (1659749)Instruction limit reached!
% 10.95/2.43 % (1659749)------------------------------
% 10.95/2.43 % (1659749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659749)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659749)Termination reason: Instruction limit
% 10.95/2.43 % (1659749)Termination phase: Saturation
% 10.95/2.43 % (1659749)Time elapsed: 0.154 s
% 10.95/2.43 % (1659749)Peak memory usage: 91 MB
% 10.95/2.43 % (1659749)Instructions burned: 248 (million)
% 10.95/2.43 % (1659719)Refutation not found, incomplete strategy
% 10.95/2.43 % (1659719)------------------------------
% 10.95/2.43 % (1659719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659719)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659719)Termination reason: Refutation not found, incomplete strategy
% 10.95/2.43 % (1659719)Time elapsed: 0.766 s
% 10.95/2.43 % (1659719)Peak memory usage: 128 MB
% 10.95/2.43 % (1659719)Instructions burned: 893 (million)
% 10.95/2.43 % (1659750)------------------------------
% 10.95/2.43 % (1659750)------------------------------
% 10.95/2.43 % (1659758)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1213190164:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 10.95/2.43 % (1659758)Refutation not found, incomplete strategy
% 10.95/2.43 % (1659758)------------------------------
% 10.95/2.43 % (1659758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659758)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659758)Termination reason: Refutation not found, incomplete strategy
% 10.95/2.43 % (1659758)Time elapsed: 0.001 s
% 10.95/2.43 % (1659758)Peak memory usage: 87 MB
% 10.95/2.43 % (1659752)------------------------------
% 10.95/2.43 % (1659752)------------------------------
% 10.95/2.43 % (1659719)------------------------------
% 10.95/2.43 % (1659719)------------------------------
% 10.95/2.43 % (1659769)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1526135775:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 10.95/2.43 % (1659769)Refutation not found, incomplete strategy
% 10.95/2.43 % (1659769)------------------------------
% 10.95/2.43 % (1659769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659769)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659769)Termination reason: Refutation not found, incomplete strategy
% 10.95/2.43 % (1659769)Time elapsed: 0.001 s
% 10.95/2.43 % (1659769)Peak memory usage: 88 MB
% 10.95/2.43 % (1659781)lrs+10_1_sil=8000:sp=occurrence:random_seed=717826200:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 10.95/2.43 % (1659791)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1130481259:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 10.95/2.43 % (1659791)Refutation not found, incomplete strategy
% 10.95/2.43 % (1659791)------------------------------
% 10.95/2.43 % (1659791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659758)------------------------------
% 10.95/2.43 % (1659758)------------------------------
% 10.95/2.43 % (1659791)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659791)Termination reason: Refutation not found, incomplete strategy
% 10.95/2.43 % (1659791)Time elapsed: 0.001 s
% 10.95/2.43 % (1659791)Peak memory usage: 88 MB
% 10.95/2.43 % (1659717)First to succeed.
% 10.95/2.43 % (1659717)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1659691"
% 10.95/2.43 % (1659769)------------------------------
% 10.95/2.43 % (1659769)------------------------------
% 10.95/2.43 % (1659824)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3543594144:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 10.95/2.43 % (1659791)------------------------------
% 10.95/2.43 % (1659791)------------------------------
% 10.95/2.43 % (1659850)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3629503276:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 10.95/2.43 % (1659850)Refutation not found, incomplete strategy
% 10.95/2.43 % (1659850)------------------------------
% 10.95/2.43 % (1659850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.43 % (1659850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.43 % (1659850)CaDiCaL version: 2.1.3
% 10.95/2.43 % (1659850)Termination reason: Refutation not found, incomplete strategy
% 10.95/2.43 % (1659850)Time elapsed: 0.001 s
% 10.95/2.43 % (1659850)Peak memory usage: 88 MB
% 10.95/2.43 % (1659717)Refutation found. Thanks to Tanya!
% 10.95/2.43 % SZS status Theorem for theBenchmark
% 10.95/2.43 % SZS output start Proof for theBenchmark
% See solution above
% 11.76/2.62 % (1659717)------------------------------
% 11.76/2.62 % (1659717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.62 % (1659717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.62 % (1659717)CaDiCaL version: 2.1.3
% 11.76/2.62 % (1659717)Termination reason: Refutation
% 11.76/2.62 % (1659717)Time elapsed: 1.118 s
% 11.76/2.62 % (1659717)Peak memory usage: 134 MB
% 11.76/2.62 % (1659717)Instructions burned: 1479 (million)
% 11.76/2.62 % (1659717)------------------------------
% 11.76/2.62 % (1659717)------------------------------
% 11.76/2.62 % (1659691)Success in time 1.569 s
% 11.76/2.62 % Vampire exiting
%------------------------------------------------------------------------------