%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE039+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:40:10 AM UTC 2026
% Result : Theorem 4.96s 1.71s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 13
% Syntax : Number of formulae : 78 ( 67 unt; 0 def)
% Number of atoms : 91 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 10 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 112 ( 111 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',star_induction_left) ).
fof(f17,conjecture,
! [X0] : star(star(X0)) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : star(star(X0)) = star(X0),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] : star(X0) != star(star(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f21,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f22,plain,
star(sK0) != star(star(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f24,plain,
star(sK0) != star(star(sK0)),
inference(cnf_transformation,[],[f22]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f27,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f31,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f32,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f34,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f36,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f27,f34]) ).
fof(f40,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f39,f33]) ).
fof(f57,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f33,f32]) ).
fof(f63,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f28,f34]) ).
fof(f66,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f63,f33]) ).
fof(f67,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f66,f57]) ).
fof(f68,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f67,f33]) ).
fof(f70,plain,
! [X0,X1] : star(multiplication(X0,X1)) = addition(one,addition(star(multiplication(X0,X1)),multiplication(X0,multiplication(X1,star(multiplication(X0,X1)))))),
inference(superposition,[],[f68,f36]) ).
fof(f75,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f30,f38]) ).
fof(f94,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f29,f37]) ).
fof(f133,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f31]) ).
fof(f145,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f133,f68]) ).
fof(f161,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(star(X0),X1)),
inference(superposition,[],[f32,f145]) ).
fof(f168,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f26,f31]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f26,f33]) ).
fof(f201,plain,
! [X0] : leq(multiplication(star(X0),one),star(X0)),
inference(resolution,[],[f170,f28]) ).
fof(f206,plain,
! [X0,X1] :
( ~ leq(multiplication(addition(one,X0),X1),X1)
| leq(multiplication(star(X0),X1),X1) ),
inference(superposition,[],[f170,f94]) ).
fof(f215,plain,
! [X0] : leq(star(X0),star(X0)),
inference(forward_demodulation,[],[f201,f38]) ).
fof(f418,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(superposition,[],[f40,f57]) ).
fof(f419,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f418,f33]) ).
fof(f453,plain,
! [X0] : star(X0) = addition(star(X0),multiplication(star(X0),X0)),
inference(forward_demodulation,[],[f419,f161]) ).
fof(f469,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(one,X0)),
inference(forward_demodulation,[],[f453,f75]) ).
fof(f505,plain,
! [X0] : star(star(X0)) = multiplication(star(star(X0)),star(X0)),
inference(superposition,[],[f469,f145]) ).
fof(f522,plain,
! [X0] : multiplication(addition(one,star(X0)),addition(one,X0)) = addition(addition(one,X0),star(X0)),
inference(superposition,[],[f94,f469]) ).
fof(f526,plain,
! [X0] : multiplication(addition(one,star(X0)),addition(one,X0)) = addition(star(X0),addition(one,X0)),
inference(forward_demodulation,[],[f522,f33]) ).
fof(f536,plain,
! [X0] : multiplication(addition(one,star(X0)),addition(one,X0)) = addition(X0,addition(star(X0),one)),
inference(forward_demodulation,[],[f526,f57]) ).
fof(f544,plain,
! [X0] : multiplication(addition(one,star(X0)),addition(one,X0)) = addition(X0,addition(one,star(X0))),
inference(forward_demodulation,[],[f536,f33]) ).
fof(f545,plain,
! [X0] : multiplication(star(X0),addition(one,X0)) = addition(X0,star(X0)),
inference(forward_demodulation,[],[f544,f145]) ).
fof(f546,plain,
! [X0] : star(X0) = addition(X0,star(X0)),
inference(forward_demodulation,[],[f545,f469]) ).
fof(f627,plain,
! [X0] : star(multiplication(one,X0)) = addition(one,addition(star(multiplication(one,X0)),multiplication(X0,star(multiplication(one,X0))))),
inference(superposition,[],[f70,f37]) ).
fof(f639,plain,
! [X0] : star(multiplication(one,X0)) = addition(star(multiplication(one,X0)),multiplication(X0,star(multiplication(one,X0)))),
inference(forward_demodulation,[],[f627,f161]) ).
fof(f652,plain,
! [X0] : star(multiplication(one,X0)) = multiplication(addition(one,X0),star(multiplication(one,X0))),
inference(forward_demodulation,[],[f639,f94]) ).
fof(f662,plain,
! [X0] : star(X0) = multiplication(addition(one,X0),star(X0)),
inference(forward_demodulation,[],[f652,f37]) ).
fof(f688,plain,
! [X0] :
( ~ leq(star(X0),star(X0))
| leq(multiplication(star(X0),star(X0)),star(X0)) ),
inference(superposition,[],[f206,f662]) ).
fof(f709,plain,
! [X0] : leq(multiplication(star(X0),star(X0)),star(X0)),
inference(forward_subsumption_resolution,[],[f688,f215]) ).
fof(f734,plain,
! [X0] : star(X0) = addition(multiplication(star(X0),star(X0)),star(X0)),
inference(resolution,[],[f709,f34]) ).
fof(f735,plain,
! [X0] : star(X0) = addition(star(X0),multiplication(star(X0),star(X0))),
inference(forward_demodulation,[],[f734,f33]) ).
fof(f736,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(one,star(X0))),
inference(forward_demodulation,[],[f735,f75]) ).
fof(f737,plain,
! [X0] : star(X0) = multiplication(star(X0),star(X0)),
inference(forward_demodulation,[],[f736,f145]) ).
fof(f749,plain,
! [X0] :
( leq(multiplication(star(star(X0)),star(X0)),star(X0))
| ~ leq(star(X0),star(X0)) ),
inference(superposition,[],[f168,f737]) ).
fof(f752,plain,
! [X0] : leq(multiplication(star(star(X0)),star(X0)),star(X0)),
inference(forward_subsumption_resolution,[],[f749,f215]) ).
fof(f760,plain,
! [X0] : leq(star(star(X0)),star(X0)),
inference(forward_demodulation,[],[f752,f505]) ).
fof(f768,plain,
! [X0] : star(X0) = addition(star(star(X0)),star(X0)),
inference(resolution,[],[f760,f34]) ).
fof(f769,plain,
! [X0] : star(X0) = addition(star(X0),star(star(X0))),
inference(forward_demodulation,[],[f768,f33]) ).
fof(f770,plain,
! [X0] : star(X0) = star(star(X0)),
inference(forward_demodulation,[],[f769,f546]) ).
fof(f773,plain,
star(sK0) != star(sK0),
inference(superposition,[],[f24,f770]) ).
fof(f793,plain,
$false,
inference(trivial_inequality_removal,[],[f773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE039+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % 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 13:05:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.96/1.71 % (3501253)Detected formulas, will run a generic FOF schedule.
% 4.96/1.71 % (3501259)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=2291740928:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.96/1.71 % (3501264)dis-21_1_sil=8000:lcm=predicate:random_seed=2079411081: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)
% 4.96/1.71 % (3501260)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=4020680365:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.96/1.71 % (3501263)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2460706107:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.96/1.71 % (3501258)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=1376473387:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.96/1.71 % (3501262)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=345368619:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.96/1.71 % (3501261)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=418660380:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.96/1.71 % (3501261)Refutation not found, incomplete strategy
% 4.96/1.71 % (3501261)------------------------------
% 4.96/1.71 % (3501261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.71 % (3501261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.71 % (3501261)CaDiCaL version: 2.1.3
% 4.96/1.71 % (3501261)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.71 % (3501261)Time elapsed: 0.001 s
% 4.96/1.71 % (3501261)Peak memory usage: 88 MB
% 4.96/1.71 % (3501264)Refutation not found, incomplete strategy
% 4.96/1.71 % (3501264)------------------------------
% 4.96/1.71 % (3501264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.71 % (3501264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.71 % (3501264)CaDiCaL version: 2.1.3
% 4.96/1.71 % (3501264)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.71 % (3501264)Time elapsed: 0.001 s
% 4.96/1.71 % (3501264)Peak memory usage: 88 MB
% 4.96/1.71 % (3501264)Instructions burned: 1 (million)
% 4.96/1.71 % (3501262)Instruction limit reached!
% 4.96/1.71 % (3501262)------------------------------
% 4.96/1.71 % (3501262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.71 % (3501262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.71 % (3501262)CaDiCaL version: 2.1.3
% 4.96/1.71 % (3501262)Termination reason: Instruction limit
% 4.96/1.71 % (3501262)Termination phase: Saturation
% 4.96/1.71 % (3501262)Time elapsed: 0.068 s
% 4.96/1.71 % (3501262)Peak memory usage: 88 MB
% 4.96/1.71 % (3501262)Instructions burned: 120 (million)
% 4.96/1.71 % (3501263)Instruction limit reached!
% 4.96/1.71 % (3501263)------------------------------
% 4.96/1.71 % (3501263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.71 % (3501263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.71 % (3501263)CaDiCaL version: 2.1.3
% 4.96/1.71 % (3501263)Termination reason: Instruction limit
% 4.96/1.71 % (3501263)Termination phase: Saturation
% 4.96/1.71 % (3501263)Time elapsed: 0.080 s
% 4.96/1.71 % (3501263)Peak memory usage: 89 MB
% 4.96/1.71 % (3501263)Instructions burned: 140 (million)
% 4.96/1.71 % (3501272)lrs+10_1_sil=8000:sp=occurrence:random_seed=4090793118:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.96/1.71 % (3501273)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1302519011:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.96/1.71 % (3501273)Refutation not found, incomplete strategy
% 4.96/1.71 % (3501273)------------------------------
% 4.96/1.71 % (3501273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.71 % (3501273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.71 % (3501273)CaDiCaL version: 2.1.3
% 4.96/1.71 % (3501273)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.71 % (3501273)Time elapsed: 0.001 s
% 4.96/1.71 % (3501273)Peak memory usage: 88 MB
% 4.96/1.71 % (3501261)------------------------------
% 4.96/1.71 % (3501261)------------------------------
% 4.96/1.71 % (3501264)------------------------------
% 4.96/1.71 % (3501264)------------------------------
% 4.96/1.71 % (3501272)Instruction limit reached!
% 4.96/1.71 % (3501272)------------------------------
% 4.96/1.71 % (3501272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.71 % (3501272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.71 % (3501272)CaDiCaL version: 2.1.3
% 4.96/1.71 % (3501272)Termination reason: Instruction limit
% 4.96/1.71 % (3501272)Termination phase: Saturation
% 4.96/1.71 % (3501272)Time elapsed: 0.179 s
% 4.96/1.71 % (3501272)Peak memory usage: 91 MB
% 4.96/1.71 % (3501272)Instructions burned: 286 (million)
% 4.96/1.71 % (3501259)First to succeed.
% 4.96/1.71 % (3501259)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3501253"
% 4.96/1.71 % (3501276)lrs+1011_1_sil=32000:sp=occurrence:random_seed=185865058:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.96/1.71 % (3501277)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=24088258:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.96/1.71 % (3501273)------------------------------
% 4.96/1.71 % (3501273)------------------------------
% 4.96/1.71 % (3501278)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=446098092:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.96/1.71 % (3501278)Refutation not found, incomplete strategy
% 4.96/1.71 % (3501278)------------------------------
% 4.96/1.71 % (3501278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.71 % (3501278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.71 % (3501278)CaDiCaL version: 2.1.3
% 4.96/1.71 % (3501278)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.71 % (3501278)Time elapsed: 0.001 s
% 4.96/1.71 % (3501278)Peak memory usage: 88 MB
% 4.96/1.71 % (3501278)Instructions burned: 1 (million)
% 4.96/1.71 % (3501277)Instruction limit reached!
% 4.96/1.71 % (3501277)------------------------------
% 4.96/1.71 % (3501277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.71 % (3501277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.71 % (3501277)CaDiCaL version: 2.1.3
% 4.96/1.71 % (3501277)Termination reason: Instruction limit
% 4.96/1.71 % (3501277)Termination phase: Saturation
% 4.96/1.71 % (3501277)Time elapsed: 0.154 s
% 4.96/1.71 % (3501277)Peak memory usage: 91 MB
% 4.96/1.71 % (3501277)Instructions burned: 249 (million)
% 4.96/1.71 % (3501260)Refutation not found, incomplete strategy
% 4.96/1.71 % (3501260)------------------------------
% 4.96/1.71 % (3501260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.71 % (3501260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.71 % (3501260)CaDiCaL version: 2.1.3
% 4.96/1.71 % (3501260)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.71 % (3501260)Time elapsed: 0.593 s
% 4.96/1.71 % (3501260)Peak memory usage: 126 MB
% 4.96/1.71 % (3501260)Instructions burned: 882 (million)
% 4.96/1.71 % (3501276)Instruction limit reached!
% 4.96/1.71 % (3501276)------------------------------
% 4.96/1.71 % (3501276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.71 % (3501276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.71 % (3501276)CaDiCaL version: 2.1.3
% 4.96/1.71 % (3501276)Termination reason: Instruction limit
% 4.96/1.71 % (3501276)Termination phase: Saturation
% 4.96/1.71 % (3501276)Time elapsed: 0.189 s
% 4.96/1.71 % (3501276)Peak memory usage: 91 MB
% 4.96/1.71 % (3501276)Instructions burned: 325 (million)
% 4.96/1.71 % (3501281)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1780098612:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 4.96/1.71 % (3501259)Refutation found. Thanks to Tanya!
% 4.96/1.71 % SZS status Theorem for theBenchmark
% 4.96/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.90 % (3501259)------------------------------
% 0.15/1.90 % (3501259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.90 % (3501259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.90 % (3501259)CaDiCaL version: 2.1.3
% 0.15/1.90 % (3501259)Termination reason: Refutation
% 0.15/1.90 % (3501259)Time elapsed: 0.464 s
% 0.15/1.90 % (3501259)Peak memory usage: 129 MB
% 0.15/1.90 % (3501259)Instructions burned: 1042 (million)
% 0.15/1.90 % (3501259)------------------------------
% 0.15/1.90 % (3501259)------------------------------
% 0.15/1.90 % (3501253)Success in time 0.856 s
% 0.15/1.90 % Vampire exiting
%------------------------------------------------------------------------------