%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE078+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 : n010.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 11:40:16 AM UTC 2026
% Result : Theorem 5.17s 1.64s
% Output : Refutation 6.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 19
% Syntax : Number of formulae : 87 ( 83 unt; 4 def)
% Number of atoms : 95 ( 94 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 86 ( 85 !; 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(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_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(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
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(f16,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f18,conjecture,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> domain(antidomain(X0)) = antidomain(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> domain(antidomain(X0)) = antidomain(X0) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] :
( antidomain(X0) != domain(antidomain(X0))
& ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( antidomain(sK0) != domain(antidomain(sK0))
& ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[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(f24,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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(f32,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
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(f36,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f38,plain,
! [X1] : zero = multiplication(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
! [X1] : one = addition(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
antidomain(sK0) != domain(antidomain(sK0)),
inference(cnf_transformation,[],[f21]) ).
fof(f41,definition,
sF1 = antidomain(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f42,plain,
antidomain(sK0) = sF1,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF2 = domain(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f44,plain,
domain(sF1) = sF2,
inference(reorient_equations,[],[f43]) ).
fof(f45,plain,
sF1 != sF2,
inference(definition_folding,[],[f40,f44,f42,f42]) ).
fof(f46,definition,
! [X1] : sF3(X1) = addition(domain(X1),antidomain(X1)),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f47,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = sF3(X1),
inference(reorient_equations,[],[f46]) ).
fof(f48,plain,
! [X1] : one = sF3(X1),
inference(definition_folding,[],[f39,f47]) ).
fof(f49,definition,
! [X1] : sF4(X1) = multiplication(domain(X1),antidomain(X1)),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f50,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = sF4(X1),
inference(reorient_equations,[],[f49]) ).
fof(f51,plain,
! [X1] : zero = sF4(X1),
inference(definition_folding,[],[f38,f50]) ).
fof(f52,plain,
! [X1] : one = addition(domain(X1),antidomain(X1)),
inference(forward_demodulation,[],[f47,f48]) ).
fof(f53,plain,
! [X1] : zero = multiplication(domain(X1),antidomain(X1)),
inference(forward_demodulation,[],[f50,f51]) ).
fof(f55,plain,
one = addition(sF2,one),
inference(superposition,[],[f35,f44]) ).
fof(f59,plain,
! [X0,X1] : multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))),
inference(superposition,[],[f33,f34]) ).
fof(f64,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f35,f22]) ).
fof(f67,plain,
one = addition(domain(sK0),sF1),
inference(superposition,[],[f52,f42]) ).
fof(f73,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f22,f24]) ).
fof(f83,plain,
zero = multiplication(domain(sK0),sF1),
inference(superposition,[],[f53,f42]) ).
fof(f110,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f28]) ).
fof(f175,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f29,f27]) ).
fof(f181,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f29,f27]) ).
fof(f337,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f33,f110]) ).
fof(f345,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[],[f337,f64]) ).
fof(f361,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f345,f28]) ).
fof(f385,plain,
sF1 = multiplication(sF2,sF1),
inference(superposition,[],[f361,f44]) ).
fof(f427,plain,
! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(antidomain(X0),X1)),
inference(superposition,[],[f23,f52]) ).
fof(f522,plain,
! [X2,X3,X0,X1] : multiplication(addition(X3,multiplication(X0,X1)),X2) = addition(multiplication(X3,X2),multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f30,f26]) ).
fof(f663,plain,
! [X0] : addition(domain(X0),antidomain(X0)) = addition(one,antidomain(X0)),
inference(superposition,[],[f427,f25]) ).
fof(f678,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f663,f52]) ).
fof(f682,plain,
one = addition(one,sF1),
inference(superposition,[],[f678,f42]) ).
fof(f826,plain,
multiplication(sF2,addition(one,sF1)) = addition(sF2,sF1),
inference(superposition,[],[f175,f385]) ).
fof(f827,plain,
multiplication(sF2,one) = addition(sF2,sF1),
inference(forward_demodulation,[],[f826,f682]) ).
fof(f831,plain,
sF2 = addition(sF2,sF1),
inference(forward_demodulation,[],[f827,f27]) ).
fof(f2204,plain,
multiplication(domain(zero),multiplication(domain(sK0),domain(sF1))) = addition(multiplication(domain(sK0),domain(sF1)),multiplication(domain(zero),multiplication(domain(sK0),domain(sF1)))),
inference(superposition,[],[f59,f83]) ).
fof(f2277,plain,
multiplication(domain(zero),multiplication(domain(sK0),domain(sF1))) = multiplication(addition(domain(sK0),multiplication(domain(zero),domain(sK0))),domain(sF1)),
inference(forward_demodulation,[],[f2204,f522]) ).
fof(f2326,plain,
multiplication(domain(zero),multiplication(domain(sK0),sF2)) = multiplication(addition(domain(sK0),multiplication(domain(zero),domain(sK0))),sF2),
inference(forward_demodulation,[],[f2277,f44]) ).
fof(f2372,plain,
multiplication(domain(zero),multiplication(domain(sK0),sF2)) = multiplication(multiplication(addition(one,domain(zero)),domain(sK0)),sF2),
inference(forward_demodulation,[],[f2326,f110]) ).
fof(f2414,plain,
multiplication(domain(zero),multiplication(domain(sK0),sF2)) = multiplication(addition(one,domain(zero)),multiplication(domain(sK0),sF2)),
inference(forward_demodulation,[],[f2372,f26]) ).
fof(f2452,plain,
multiplication(domain(zero),multiplication(domain(sK0),sF2)) = multiplication(one,multiplication(domain(sK0),sF2)),
inference(forward_demodulation,[],[f2414,f64]) ).
fof(f2484,plain,
multiplication(domain(sK0),sF2) = multiplication(domain(zero),multiplication(domain(sK0),sF2)),
inference(forward_demodulation,[],[f2452,f28]) ).
fof(f2506,plain,
multiplication(domain(sK0),sF2) = multiplication(zero,multiplication(domain(sK0),sF2)),
inference(forward_demodulation,[],[f2484,f36]) ).
fof(f2517,plain,
zero = multiplication(domain(sK0),sF2),
inference(forward_demodulation,[],[f2506,f32]) ).
fof(f2526,plain,
! [X0] : multiplication(addition(domain(sK0),X0),sF2) = addition(zero,multiplication(X0,sF2)),
inference(superposition,[],[f30,f2517]) ).
fof(f2539,plain,
! [X0] : multiplication(X0,sF2) = multiplication(addition(domain(sK0),X0),sF2),
inference(forward_demodulation,[],[f2526,f73]) ).
fof(f2553,plain,
multiplication(one,sF2) = multiplication(sF1,sF2),
inference(superposition,[],[f2539,f67]) ).
fof(f2597,plain,
sF2 = multiplication(sF1,sF2),
inference(forward_demodulation,[],[f2553,f28]) ).
fof(f2631,plain,
addition(sF2,sF1) = multiplication(sF1,addition(sF2,one)),
inference(superposition,[],[f181,f2597]) ).
fof(f2632,plain,
multiplication(sF1,one) = addition(sF2,sF1),
inference(forward_demodulation,[],[f2631,f55]) ).
fof(f2640,plain,
sF2 = multiplication(sF1,one),
inference(forward_demodulation,[],[f2632,f831]) ).
fof(f2645,plain,
sF1 = sF2,
inference(forward_demodulation,[],[f2640,f27]) ).
fof(f2649,plain,
$false,
inference(forward_subsumption_resolution,[],[f2645,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE078+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.35 % Computer : n010.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 27 13:09:31 UTC 2026
% 0.05/0.36 % CPUTime :
% 0.05/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.39 Running first-order theorem proving
% 0.05/0.39 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
% 5.17/1.64 % (951062)Detected formulas, will run a generic FOF schedule.
% 5.17/1.64 % (951067)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=155059060:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.17/1.64 % (951069)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=3352791911:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.17/1.64 % (951068)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=3067855192:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.17/1.64 % (951071)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4266190600:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.17/1.64 % (951073)dis-21_1_sil=8000:lcm=predicate:random_seed=3889708676: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)
% 5.17/1.64 % (951070)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3480916482:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.17/1.64 % (951072)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2833986830:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.17/1.64 % (951073)Refutation not found, incomplete strategy
% 5.17/1.64 % (951073)------------------------------
% 5.17/1.64 % (951073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.64 % (951073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.64 % (951073)CaDiCaL version: 2.1.3
% 5.17/1.64 % (951073)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.64 % (951073)Time elapsed: 0.001 s
% 5.17/1.64 % (951073)Peak memory usage: 88 MB
% 5.17/1.64 % (951073)Instructions burned: 1 (million)
% 5.17/1.64 % (951070)Instruction limit reached!
% 5.17/1.64 % (951070)------------------------------
% 5.17/1.64 % (951070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.64 % (951070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.64 % (951070)CaDiCaL version: 2.1.3
% 5.17/1.64 % (951070)Termination reason: Instruction limit
% 5.17/1.64 % (951070)Termination phase: Saturation
% 5.17/1.64 % (951070)Time elapsed: 0.065 s
% 5.17/1.64 % (951070)Peak memory usage: 89 MB
% 5.17/1.64 % (951070)Instructions burned: 110 (million)
% 5.17/1.64 % (951071)Instruction limit reached!
% 5.17/1.64 % (951071)------------------------------
% 5.17/1.64 % (951071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.64 % (951071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.64 % (951071)CaDiCaL version: 2.1.3
% 5.17/1.64 % (951071)Termination reason: Instruction limit
% 5.17/1.64 % (951071)Termination phase: Saturation
% 5.17/1.64 % (951071)Time elapsed: 0.068 s
% 5.17/1.64 % (951071)Peak memory usage: 88 MB
% 5.17/1.64 % (951071)Instructions burned: 120 (million)
% 5.17/1.64 % (951072)Instruction limit reached!
% 5.17/1.64 % (951072)------------------------------
% 5.17/1.64 % (951072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.64 % (951072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.64 % (951072)CaDiCaL version: 2.1.3
% 5.17/1.64 % (951072)Termination reason: Instruction limit
% 5.17/1.64 % (951072)Termination phase: Saturation
% 5.17/1.64 % (951072)Time elapsed: 0.080 s
% 5.17/1.64 % (951072)Peak memory usage: 89 MB
% 5.17/1.64 % (951072)Instructions burned: 139 (million)
% 5.17/1.64 % (951082)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2148299325:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.17/1.64 % (951081)lrs+10_1_sil=8000:sp=occurrence:random_seed=2412612267:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.17/1.64 % (951083)lrs+1011_1_sil=32000:sp=occurrence:random_seed=820255947:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.17/1.64 % (951073)------------------------------
% 5.17/1.64 % (951073)------------------------------
% 5.17/1.64 % (951082)Instruction limit reached!
% 5.17/1.64 % (951082)------------------------------
% 5.17/1.64 % (951082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.64 % (951082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.64 % (951082)CaDiCaL version: 2.1.3
% 5.17/1.64 % (951082)Termination reason: Instruction limit
% 5.17/1.64 % (951082)Termination phase: Saturation
% 5.17/1.64 % (951082)Time elapsed: 0.095 s
% 5.17/1.64 % (951082)Peak memory usage: 90 MB
% 5.17/1.64 % (951082)Instructions burned: 158 (million)
% 5.17/1.64 % (951081)Instruction limit reached!
% 5.17/1.64 % (951081)------------------------------
% 5.17/1.64 % (951081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.64 % (951081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.64 % (951081)CaDiCaL version: 2.1.3
% 5.17/1.64 % (951081)Termination reason: Instruction limit
% 5.17/1.64 % (951081)Termination phase: Saturation
% 5.17/1.64 % (951081)Time elapsed: 0.170 s
% 5.17/1.64 % (951081)Peak memory usage: 91 MB
% 5.17/1.64 % (951081)Instructions burned: 285 (million)
% 5.17/1.64 % (951087)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=1177298113:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.17/1.64 % (951083)Instruction limit reached!
% 5.17/1.64 % (951083)------------------------------
% 5.17/1.64 % (951083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.64 % (951083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.64 % (951083)CaDiCaL version: 2.1.3
% 5.17/1.64 % (951083)Termination reason: Instruction limit
% 5.17/1.64 % (951083)Termination phase: Saturation
% 5.17/1.64 % (951083)Time elapsed: 0.193 s
% 5.17/1.64 % (951083)Peak memory usage: 92 MB
% 5.17/1.64 % (951083)Instructions burned: 325 (million)
% 5.17/1.64 % (951088)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2493630255:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.17/1.64 % (951067)First to succeed.
% 5.17/1.64 % (951067)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-951062"
% 5.17/1.64 % (951089)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2718527804:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.17/1.64 % (951087)Instruction limit reached!
% 5.17/1.64 % (951087)------------------------------
% 5.17/1.64 % (951087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.64 % (951087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.64 % (951087)CaDiCaL version: 2.1.3
% 5.17/1.64 % (951087)Termination reason: Instruction limit
% 5.17/1.64 % (951087)Termination phase: Saturation
% 5.17/1.64 % (951087)Time elapsed: 0.156 s
% 5.17/1.64 % (951087)Peak memory usage: 92 MB
% 5.17/1.64 % (951087)Instructions burned: 248 (million)
% 5.17/1.64 % (951091)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3579569861:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.17/1.64 % (951088)Instruction limit reached!
% 5.17/1.64 % (951088)------------------------------
% 5.17/1.64 % (951088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.64 % (951088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.64 % (951088)CaDiCaL version: 2.1.3
% 5.17/1.64 % (951088)Termination reason: Instruction limit
% 5.17/1.64 % (951088)Termination phase: Saturation
% 5.17/1.64 % (951088)Time elapsed: 0.170 s
% 5.17/1.64 % (951088)Peak memory usage: 91 MB
% 5.17/1.64 % (951088)Instructions burned: 294 (million)
% 5.17/1.64 % (951067)Refutation found. Thanks to Tanya!
% 5.17/1.64 % SZS status Theorem for theBenchmark
% 5.17/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 6.30/1.84 % (951067)------------------------------
% 6.30/1.84 % (951067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.84 % (951067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.84 % (951067)CaDiCaL version: 2.1.3
% 6.30/1.84 % (951067)Termination reason: Refutation
% 6.30/1.84 % (951067)Time elapsed: 0.507 s
% 6.30/1.84 % (951067)Peak memory usage: 131 MB
% 6.30/1.84 % (951067)Instructions burned: 1201 (million)
% 6.30/1.84 % (951067)------------------------------
% 6.30/1.84 % (951067)------------------------------
% 6.30/1.84 % (951062)Success in time 0.807 s
% 6.30/1.84 % Vampire exiting
%------------------------------------------------------------------------------