%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE139+2 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:26 AM UTC 2026
% Result : Theorem 6.49s 1.89s
% Output : Refutation 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 50 ( 28 unt; 2 def)
% Number of atoms : 74 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 24 ~; 18 |; 3 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 46 !; 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',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(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f10,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f12,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold2) ).
fof(f17,axiom,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isolation) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f19,conjecture,
! [X0] :
( leq(strong_iteration(X0),addition(multiplication(strong_iteration(X0),X0),one))
& leq(addition(multiplication(strong_iteration(X0),X0),one),strong_iteration(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( leq(strong_iteration(X0),addition(multiplication(strong_iteration(X0),X0),one))
& leq(addition(multiplication(strong_iteration(X0),X0),one),strong_iteration(X0)) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0] :
( ~ leq(strong_iteration(X0),addition(multiplication(strong_iteration(X0),X0),one))
| ~ leq(addition(multiplication(strong_iteration(X0),X0),one),strong_iteration(X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f25,plain,
( ~ leq(strong_iteration(sK0),addition(multiplication(strong_iteration(sK0),sK0),one))
| ~ leq(addition(multiplication(strong_iteration(sK0),sK0),one),strong_iteration(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f26,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f27,plain,
( ~ leq(strong_iteration(sK0),addition(multiplication(strong_iteration(sK0),sK0),one))
| ~ leq(addition(multiplication(strong_iteration(sK0),sK0),one),strong_iteration(sK0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f36,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f44,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(cnf_transformation,[],[f17]) ).
fof(f45,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f47,plain,
( ~ leq(strong_iteration(sK0),addition(one,multiplication(strong_iteration(sK0),sK0)))
| ~ leq(addition(multiplication(strong_iteration(sK0),sK0),one),strong_iteration(sK0)) ),
inference(forward_demodulation,[],[f27,f30]) ).
fof(f48,plain,
( ~ leq(addition(one,multiplication(strong_iteration(sK0),sK0)),strong_iteration(sK0))
| ~ leq(strong_iteration(sK0),addition(one,multiplication(strong_iteration(sK0),sK0))) ),
inference(forward_demodulation,[],[f47,f30]) ).
fof(f50,definition,
( spl1_1
<=> leq(strong_iteration(sK0),addition(one,multiplication(strong_iteration(sK0),sK0))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f51,plain,
( ~ leq(strong_iteration(sK0),addition(one,multiplication(strong_iteration(sK0),sK0)))
| spl1_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,definition,
( spl1_2
<=> leq(addition(one,multiplication(strong_iteration(sK0),sK0)),strong_iteration(sK0)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f54,plain,
( ~ leq(addition(one,multiplication(strong_iteration(sK0),sK0)),strong_iteration(sK0))
| spl1_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f48,f53,f50]) ).
fof(f56,plain,
( addition(one,multiplication(strong_iteration(sK0),sK0)) != addition(strong_iteration(sK0),addition(one,multiplication(strong_iteration(sK0),sK0)))
| spl1_1 ),
inference(resolution,[],[f32,f51]) ).
fof(f124,plain,
! [X0,X1] : addition(one,addition(multiplication(star(X0),X0),X1)) = addition(star(X0),X1),
inference(superposition,[],[f29,f40]) ).
fof(f602,plain,
! [X0,X1] : addition(star(X0),multiplication(X1,X0)) = addition(one,multiplication(addition(star(X0),X1),X0)),
inference(superposition,[],[f124,f36]) ).
fof(f643,plain,
! [X0] : addition(star(X0),multiplication(multiplication(strong_iteration(X0),zero),X0)) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(superposition,[],[f602,f44]) ).
fof(f671,plain,
! [X0] : addition(one,multiplication(strong_iteration(X0),X0)) = addition(star(X0),multiplication(strong_iteration(X0),multiplication(zero,X0))),
inference(forward_demodulation,[],[f643,f38]) ).
fof(f679,plain,
! [X0] : addition(star(X0),multiplication(strong_iteration(X0),zero)) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f671,f45]) ).
fof(f682,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f679,f44]) ).
fof(f689,plain,
( strong_iteration(sK0) != addition(strong_iteration(sK0),strong_iteration(sK0))
| spl1_1 ),
inference(superposition,[],[f56,f682]) ).
fof(f700,plain,
( $false
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f689,f28]) ).
fof(f701,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f704,plain,
( ~ leq(strong_iteration(sK0),strong_iteration(sK0))
| spl1_2 ),
inference(forward_demodulation,[],[f54,f682]) ).
fof(f706,plain,
( strong_iteration(sK0) != addition(strong_iteration(sK0),strong_iteration(sK0))
| spl1_2 ),
inference(resolution,[],[f704,f32]) ).
fof(f708,plain,
( $false
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f706,f28]) ).
fof(f709,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f708]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f701]) ).
cnf(s4,plain,
spl1_2,
inference(sat_conversion,[],[f709]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f710,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE139+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n026.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
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:14:56 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
% 4.02/1.70 % (2841800)Detected formulas, will run a generic FOF schedule.
% 4.02/1.70 % (2841806)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=102557412:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.02/1.70 % (2841807)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=10001118:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.02/1.70 % (2841805)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=1454311636:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.02/1.70 % (2841809)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2996315602:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.02/1.70 % (2841811)dis-21_1_sil=8000:lcm=predicate:random_seed=1100649557: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)
% 4.02/1.70 % (2841808)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2300424272:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.02/1.70 % (2841810)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3922295881:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.02/1.70 % (2841808)Refutation not found, incomplete strategy
% 4.02/1.70 % (2841808)------------------------------
% 4.02/1.70 % (2841808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841811)Refutation not found, incomplete strategy
% 4.02/1.70 % (2841811)------------------------------
% 4.02/1.70 % (2841811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.70 % (2841811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.70 % (2841808)CaDiCaL version: 2.1.3
% 4.02/1.70 % (2841811)CaDiCaL version: 2.1.3
% 4.02/1.70 % (2841808)Termination reason: Refutation not found, incomplete strategy
% 4.02/1.70 % (2841808)Time elapsed: 0.002 s
% 4.02/1.70 % (2841811)Termination reason: Refutation not found, incomplete strategy
% 4.02/1.70 % (2841811)Time elapsed: 0.002 s
% 4.02/1.70 % (2841808)Peak memory usage: 88 MB
% 4.02/1.70 % (2841811)Peak memory usage: 88 MB
% 4.02/1.70 % (2841808)Instructions burned: 1 (million)
% 4.02/1.70 % (2841811)Instructions burned: 1 (million)
% 4.02/1.70 % (2841809)Instruction limit reached!
% 4.02/1.70 % (2841809)------------------------------
% 4.02/1.70 % (2841809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.70 % (2841809)CaDiCaL version: 2.1.3
% 4.02/1.70 % (2841809)Termination reason: Instruction limit
% 4.02/1.70 % (2841809)Termination phase: Saturation
% 4.02/1.70 % (2841809)Time elapsed: 0.073 s
% 4.02/1.70 % (2841809)Peak memory usage: 88 MB
% 4.02/1.70 % (2841809)Instructions burned: 121 (million)
% 4.02/1.70 % (2841810)Instruction limit reached!
% 4.02/1.70 % (2841810)------------------------------
% 4.02/1.70 % (2841810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.70 % (2841810)CaDiCaL version: 2.1.3
% 4.02/1.70 % (2841810)Termination reason: Instruction limit
% 4.02/1.70 % (2841810)Termination phase: Saturation
% 4.02/1.70 % (2841810)Time elapsed: 0.081 s
% 4.02/1.70 % (2841810)Peak memory usage: 90 MB
% 4.02/1.70 % (2841810)Instructions burned: 140 (million)
% 4.02/1.70 % (2841819)lrs+10_1_sil=8000:sp=occurrence:random_seed=1566579775:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.02/1.70 % (2841820)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3973159835:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.02/1.70 % (2841808)------------------------------
% 4.02/1.70 % (2841808)------------------------------
% 4.02/1.70 % (2841811)------------------------------
% 4.02/1.70 % (2841811)------------------------------
% 4.02/1.70 % (2841820)Instruction limit reached!
% 4.02/1.70 % (2841820)------------------------------
% 4.02/1.70 % (2841820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.70 % (2841820)CaDiCaL version: 2.1.3
% 4.02/1.70 % (2841820)Termination reason: Instruction limit
% 4.02/1.70 % (2841820)Termination phase: Saturation
% 4.02/1.70 % (2841820)Time elapsed: 0.105 s
% 4.02/1.70 % (2841820)Peak memory usage: 90 MB
% 4.02/1.70 % (2841820)Instructions burned: 158 (million)
% 4.02/1.70 % (2841823)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2970217894:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.02/1.70 % (2841824)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=1521734072:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.02/1.70 % (2841806)First to succeed.
% 4.02/1.70 % (2841819)Instruction limit reached!
% 4.02/1.70 % (2841819)------------------------------
% 4.02/1.70 % (2841819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.70 % (2841819)CaDiCaL version: 2.1.3
% 4.02/1.70 % (2841819)Termination reason: Instruction limit
% 4.02/1.70 % (2841819)Termination phase: Saturation
% 4.02/1.70 % (2841819)Time elapsed: 0.187 s
% 4.02/1.70 % (2841819)Peak memory usage: 91 MB
% 4.02/1.70 % (2841819)Instructions burned: 286 (million)
% 4.02/1.70 % (2841806)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2841800"
% 4.02/1.70 % (2841823)Instruction limit reached!
% 4.02/1.70 % (2841823)------------------------------
% 4.02/1.70 % (2841823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.70 % (2841823)CaDiCaL version: 2.1.3
% 4.02/1.70 % (2841823)Termination reason: Instruction limit
% 4.02/1.70 % (2841823)Termination phase: Saturation
% 4.02/1.70 % (2841823)Time elapsed: 0.108 s
% 4.02/1.70 % (2841823)Peak memory usage: 92 MB
% 4.02/1.70 % (2841823)Instructions burned: 327 (million)
% 4.02/1.70 % (2841825)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1116548231:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.02/1.70 % (2841825)Refutation not found, incomplete strategy
% 4.02/1.70 % (2841825)------------------------------
% 4.02/1.70 % (2841825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.70 % (2841825)CaDiCaL version: 2.1.3
% 4.02/1.70 % (2841825)Termination reason: Refutation not found, incomplete strategy
% 4.02/1.70 % (2841825)Time elapsed: 0.002 s
% 4.02/1.70 % (2841825)Peak memory usage: 88 MB
% 4.02/1.70 % (2841825)Instructions burned: 1 (million)
% 4.02/1.70 % (2841828)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3649548500:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.02/1.70 % (2841824)Instruction limit reached!
% 4.02/1.70 % (2841824)------------------------------
% 4.02/1.70 % (2841824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.70 % (2841824)CaDiCaL version: 2.1.3
% 4.02/1.70 % (2841824)Termination reason: Instruction limit
% 4.02/1.70 % (2841824)Termination phase: Saturation
% 4.02/1.70 % (2841824)Time elapsed: 0.163 s
% 4.02/1.70 % (2841824)Peak memory usage: 92 MB
% 4.02/1.70 % (2841824)Instructions burned: 248 (million)
% 4.02/1.70 % (2841829)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1839701890:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 4.02/1.70 % (2841829)Refutation not found, incomplete strategy
% 4.02/1.70 % (2841829)------------------------------
% 4.02/1.70 % (2841829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.70 % (2841829)CaDiCaL version: 2.1.3
% 4.02/1.70 % (2841829)Termination reason: Refutation not found, incomplete strategy
% 4.02/1.70 % (2841829)Time elapsed: 0.001 s
% 4.02/1.70 % (2841829)Peak memory usage: 88 MB
% 4.02/1.70 % (2841829)Instructions burned: 2 (million)
% 4.02/1.70 % (2841807)Refutation not found, incomplete strategy
% 4.02/1.70 % (2841807)------------------------------
% 4.02/1.70 % (2841807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.70 % (2841807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.89 % (2841807)CaDiCaL version: 2.1.3
% 6.49/1.89 % (2841807)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.89 % (2841807)Time elapsed: 0.616 s
% 6.49/1.89 % (2841807)Peak memory usage: 127 MB
% 6.49/1.89 % (2841807)Instructions burned: 898 (million)
% 6.49/1.89 % (2841806)Refutation found. Thanks to Tanya!
% 6.49/1.89 % SZS status Theorem for theBenchmark
% 6.49/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 6.49/1.90 % (2841806)------------------------------
% 6.49/1.90 % (2841806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90 % (2841806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90 % (2841806)CaDiCaL version: 2.1.3
% 6.49/1.90 % (2841806)Termination reason: Refutation
% 6.49/1.90 % (2841806)Time elapsed: 0.461 s
% 6.49/1.90 % (2841806)Peak memory usage: 131 MB
% 6.49/1.90 % (2841806)Instructions burned: 1038 (million)
% 6.49/1.90 % (2841806)------------------------------
% 6.49/1.90 % (2841806)------------------------------
% 6.49/1.90 % (2841800)Success in time 0.846 s
% 6.49/1.90 % Vampire exiting
%------------------------------------------------------------------------------