%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE079+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 : n016.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 10.10s 2.36s
% Output : Refutation 11.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 83 ( 79 unt; 5 def)
% Number of atoms : 91 ( 90 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 89 ( 88 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
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(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] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> multiplication(antidomain(X0),domain(X0)) = zero ),
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 )
=> multiplication(antidomain(X0),domain(X0)) = zero ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] :
( zero != multiplication(antidomain(X0),domain(X0))
& ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( zero != multiplication(antidomain(sK0),domain(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(f24,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
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(f37,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
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,
zero != multiplication(antidomain(sK0),domain(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(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f44,plain,
domain(sK0) = sF2,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF3 = multiplication(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f46,plain,
multiplication(sF1,sF2) = sF3,
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
zero != sF3,
inference(definition_folding,[],[f40,f46,f44,f42]) ).
fof(f48,definition,
! [X1] : sF4(X1) = addition(domain(X1),antidomain(X1)),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f49,plain,
! [X1] : addition(domain(X1),antidomain(X1)) = sF4(X1),
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
! [X1] : one = sF4(X1),
inference(definition_folding,[],[f39,f49]) ).
fof(f51,definition,
! [X1] : sF5(X1) = multiplication(domain(X1),antidomain(X1)),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f52,plain,
! [X1] : multiplication(domain(X1),antidomain(X1)) = sF5(X1),
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
! [X1] : zero = sF5(X1),
inference(definition_folding,[],[f38,f52]) ).
fof(f54,plain,
! [X1] : one = addition(domain(X1),antidomain(X1)),
inference(forward_demodulation,[],[f49,f50]) ).
fof(f55,plain,
! [X1] : zero = multiplication(domain(X1),antidomain(X1)),
inference(forward_demodulation,[],[f52,f53]) ).
fof(f57,plain,
zero = multiplication(domain(sK0),sF1),
inference(superposition,[],[f55,f42]) ).
fof(f58,plain,
zero = multiplication(sF2,sF1),
inference(forward_demodulation,[],[f57,f44]) ).
fof(f76,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f35,f22]) ).
fof(f77,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f34,f28]) ).
fof(f78,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f77,f28]) ).
fof(f82,plain,
one = addition(domain(sK0),sF1),
inference(superposition,[],[f54,f42]) ).
fof(f83,plain,
one = addition(sF2,sF1),
inference(forward_demodulation,[],[f82,f44]) ).
fof(f88,plain,
one = addition(sF1,sF2),
inference(superposition,[],[f22,f83]) ).
fof(f104,plain,
! [X0,X1] : multiplication(domain(X0),addition(X1,antidomain(X0))) = addition(multiplication(domain(X0),X1),zero),
inference(superposition,[],[f29,f55]) ).
fof(f116,plain,
! [X0,X1] : multiplication(domain(X0),X1) = multiplication(domain(X0),addition(X1,antidomain(X0))),
inference(forward_demodulation,[],[f104,f24]) ).
fof(f148,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f28]) ).
fof(f154,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f30,f28]) ).
fof(f223,plain,
! [X0] : multiplication(domain(X0),domain(X0)) = multiplication(domain(X0),one),
inference(superposition,[],[f116,f54]) ).
fof(f230,plain,
! [X0] : domain(X0) = multiplication(domain(X0),domain(X0)),
inference(forward_demodulation,[],[f223,f27]) ).
fof(f273,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f33,f148]) ).
fof(f281,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[],[f273,f76]) ).
fof(f294,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f281,f28]) ).
fof(f317,plain,
! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(domain(X0),X1),X0),
inference(superposition,[],[f30,f294]) ).
fof(f320,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = multiplication(addition(domain(X0),X1),X0),
inference(forward_demodulation,[],[f317,f148]) ).
fof(f336,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF2,multiplication(sF1,X0)),
inference(superposition,[],[f26,f58]) ).
fof(f348,plain,
! [X0] : zero = multiplication(sF2,multiplication(sF1,X0)),
inference(forward_demodulation,[],[f336,f32]) ).
fof(f361,plain,
sF2 = multiplication(sF2,sF2),
inference(superposition,[],[f230,f44]) ).
fof(f382,plain,
sF2 = domain(sF2),
inference(superposition,[],[f78,f44]) ).
fof(f576,plain,
! [X0] : multiplication(addition(X0,sF2),sF2) = addition(multiplication(X0,sF2),sF2),
inference(superposition,[],[f30,f361]) ).
fof(f583,plain,
! [X0] : multiplication(addition(X0,sF2),sF2) = multiplication(addition(X0,one),sF2),
inference(forward_demodulation,[],[f576,f154]) ).
fof(f932,plain,
zero = multiplication(sF2,sF3),
inference(superposition,[],[f348,f46]) ).
fof(f1206,plain,
multiplication(addition(sF1,one),sF2) = addition(sF3,sF2),
inference(superposition,[],[f154,f46]) ).
fof(f1249,plain,
addition(sF3,sF2) = multiplication(addition(sF1,sF2),sF2),
inference(forward_demodulation,[],[f1206,f583]) ).
fof(f1275,plain,
addition(sF3,sF2) = multiplication(one,sF2),
inference(forward_demodulation,[],[f1249,f88]) ).
fof(f1295,plain,
sF2 = addition(sF3,sF2),
inference(forward_demodulation,[],[f1275,f28]) ).
fof(f1559,plain,
! [X0,X1] : multiplication(addition(one,domain(X1)),X0) = multiplication(domain(addition(X0,X1)),X0),
inference(superposition,[],[f320,f37]) ).
fof(f1612,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(domain(addition(X0,X1)),X0),
inference(forward_demodulation,[],[f1559,f76]) ).
fof(f1628,plain,
! [X0,X1] : multiplication(domain(addition(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f1612,f28]) ).
fof(f1675,plain,
sF3 = multiplication(domain(sF2),sF3),
inference(superposition,[],[f1628,f1295]) ).
fof(f1698,plain,
sF3 = multiplication(sF2,sF3),
inference(forward_demodulation,[],[f1675,f382]) ).
fof(f1713,plain,
zero = sF3,
inference(forward_demodulation,[],[f1698,f932]) ).
fof(f1717,plain,
$false,
inference(forward_subsumption_resolution,[],[f1713,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE079+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:14:02 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 10.10/2.36 % (2631024)Detected formulas, will run a generic FOF schedule.
% 10.10/2.36 % (2631134)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1217477138:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.10/2.36 % (2631131)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=503399050:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.10/2.36 % (2631130)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=1749982167:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.10/2.36 % (2631132)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=3657456645:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.10/2.36 % (2631134)Instruction limit reached!
% 10.10/2.36 % (2631134)------------------------------
% 10.10/2.36 % (2631134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631134)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631134)Termination reason: Instruction limit
% 10.10/2.36 % (2631134)Termination phase: Saturation
% 10.10/2.36 % (2631134)Time elapsed: 0.038 s
% 10.10/2.36 % (2631134)Peak memory usage: 89 MB
% 10.10/2.36 % (2631134)Instructions burned: 120 (million)
% 10.10/2.36 % (2631133)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3806006537:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.10/2.36 % (2631136)dis-21_1_sil=8000:lcm=predicate:random_seed=466997879: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)
% 10.10/2.36 % (2631136)Refutation not found, incomplete strategy
% 10.10/2.36 % (2631136)------------------------------
% 10.10/2.36 % (2631136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631136)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631136)Termination reason: Refutation not found, incomplete strategy
% 10.10/2.36 % (2631136)Time elapsed: 0.002 s
% 10.10/2.36 % (2631136)Peak memory usage: 88 MB
% 10.10/2.36 % (2631136)Instructions burned: 1 (million)
% 10.10/2.36 % (2631135)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3371492379:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.10/2.36 % (2631133)Instruction limit reached!
% 10.10/2.36 % (2631133)------------------------------
% 10.10/2.36 % (2631133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631133)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631133)Termination reason: Instruction limit
% 10.10/2.36 % (2631133)Termination phase: Saturation
% 10.10/2.36 % (2631133)Time elapsed: 0.087 s
% 10.10/2.36 % (2631133)Peak memory usage: 89 MB
% 10.10/2.36 % (2631133)Instructions burned: 110 (million)
% 10.10/2.36 % (2631135)Instruction limit reached!
% 10.10/2.36 % (2631135)------------------------------
% 10.10/2.36 % (2631135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631135)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631135)Termination reason: Instruction limit
% 10.10/2.36 % (2631135)Termination phase: Saturation
% 10.10/2.36 % (2631135)Time elapsed: 0.122 s
% 10.10/2.36 % (2631135)Peak memory usage: 89 MB
% 10.10/2.36 % (2631135)Instructions burned: 140 (million)
% 10.10/2.36 % (2631145)lrs+10_1_sil=8000:sp=occurrence:random_seed=3757157724:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.10/2.36 % (2631145)Instruction limit reached!
% 10.10/2.36 % (2631145)------------------------------
% 10.10/2.36 % (2631145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631145)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631145)Termination reason: Instruction limit
% 10.10/2.36 % (2631145)Termination phase: Saturation
% 10.10/2.36 % (2631145)Time elapsed: 0.153 s
% 10.10/2.36 % (2631145)Peak memory usage: 91 MB
% 10.10/2.36 % (2631145)Instructions burned: 286 (million)
% 10.10/2.36 % (2631172)lrs+10_1_sil=32000:urr=on:br=off:random_seed=502386566:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.10/2.36 % (2631136)------------------------------
% 10.10/2.36 % (2631136)------------------------------
% 10.10/2.36 % (2631173)lrs+1011_1_sil=32000:sp=occurrence:random_seed=519454332:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.10/2.36 % (2631172)Instruction limit reached!
% 10.10/2.36 % (2631172)------------------------------
% 10.10/2.36 % (2631172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631172)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631172)Termination reason: Instruction limit
% 10.10/2.36 % (2631172)Termination phase: Saturation
% 10.10/2.36 % (2631172)Time elapsed: 0.161 s
% 10.10/2.36 % (2631172)Peak memory usage: 90 MB
% 10.10/2.36 % (2631172)Instructions burned: 157 (million)
% 10.10/2.36 % (2631183)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=2692787912:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 10.10/2.36 % (2631187)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3195352511:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.10/2.36 % (2631183)Instruction limit reached!
% 10.10/2.36 % (2631183)------------------------------
% 10.10/2.36 % (2631183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631183)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631183)Termination reason: Instruction limit
% 10.10/2.36 % (2631183)Termination phase: Saturation
% 10.10/2.36 % (2631183)Time elapsed: 0.131 s
% 10.10/2.36 % (2631183)Peak memory usage: 92 MB
% 10.10/2.36 % (2631183)Instructions burned: 248 (million)
% 10.10/2.36 % (2631173)Instruction limit reached!
% 10.10/2.36 % (2631173)------------------------------
% 10.10/2.36 % (2631173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631173)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631173)Termination reason: Instruction limit
% 10.10/2.36 % (2631173)Termination phase: Saturation
% 10.10/2.36 % (2631173)Time elapsed: 0.327 s
% 10.10/2.36 % (2631173)Peak memory usage: 92 MB
% 10.10/2.36 % (2631173)Instructions burned: 325 (million)
% 10.10/2.36 % (2631191)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2973447880:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.10/2.36 % (2631198)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1231616048:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 10.10/2.36 % (2631187)Instruction limit reached!
% 10.10/2.36 % (2631187)------------------------------
% 10.10/2.36 % (2631187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631187)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631187)Termination reason: Instruction limit
% 10.10/2.36 % (2631187)Termination phase: Saturation
% 10.10/2.36 % (2631187)Time elapsed: 0.252 s
% 10.10/2.36 % (2631187)Peak memory usage: 91 MB
% 10.10/2.36 % (2631187)Instructions burned: 295 (million)
% 10.10/2.36 % (2631200)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=328423558:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 10.10/2.36 % (2631200)Refutation not found, incomplete strategy
% 10.10/2.36 % (2631200)------------------------------
% 10.10/2.36 % (2631200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631200)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631200)Termination reason: Refutation not found, incomplete strategy
% 10.10/2.36 % (2631200)Time elapsed: 0.001 s
% 10.10/2.36 % (2631200)Peak memory usage: 87 MB
% 10.10/2.36 % (2631198)Instruction limit reached!
% 10.10/2.36 % (2631198)------------------------------
% 10.10/2.36 % (2631198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631198)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631198)Termination reason: Instruction limit
% 10.10/2.36 % (2631198)Termination phase: Saturation
% 10.10/2.36 % (2631198)Time elapsed: 0.071 s
% 10.10/2.36 % (2631198)Peak memory usage: 90 MB
% 10.10/2.36 % (2631198)Instructions burned: 113 (million)
% 10.10/2.36 % (2631130)First to succeed.
% 10.10/2.36 % (2631131)Also succeeded, but the first one will report.
% 10.10/2.36 % (2631130)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2631024"
% 10.10/2.36 % (2631205)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=475300653:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 10.10/2.36 % (2631207)lrs+10_1_sil=8000:sp=occurrence:random_seed=3158651316:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 10.10/2.36 % (2631205)Instruction limit reached!
% 10.10/2.36 % (2631205)------------------------------
% 10.10/2.36 % (2631205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.36 % (2631205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.36 % (2631205)CaDiCaL version: 2.1.3
% 10.10/2.36 % (2631205)Termination reason: Instruction limit
% 10.10/2.36 % (2631205)Termination phase: Saturation
% 10.10/2.36 % (2631205)Time elapsed: 0.066 s
% 10.10/2.36 % (2631205)Peak memory usage: 89 MB
% 10.10/2.36 % (2631205)Instructions burned: 116 (million)
% 10.10/2.36 % (2631200)------------------------------
% 10.10/2.36 % (2631200)------------------------------
% 10.10/2.36 % (2631266)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2087281409:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 10.10/2.36 % (2631130)Refutation found. Thanks to Tanya!
% 10.10/2.36 % SZS status Theorem for theBenchmark
% 10.10/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 11.21/2.56 % (2631130)------------------------------
% 11.21/2.56 % (2631130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.56 % (2631130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.56 % (2631130)CaDiCaL version: 2.1.3
% 11.21/2.56 % (2631130)Termination reason: Refutation
% 11.21/2.56 % (2631130)Time elapsed: 1.079 s
% 11.21/2.56 % (2631130)Peak memory usage: 130 MB
% 11.21/2.56 % (2631130)Instructions burned: 1127 (million)
% 11.21/2.56 % (2631130)------------------------------
% 11.21/2.56 % (2631130)------------------------------
% 11.21/2.56 % (2631024)Success in time 1.502 s
% 11.21/2.56 % Vampire exiting
%------------------------------------------------------------------------------