%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE038+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 : 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 11:40:10 AM UTC 2026
% Result : Theorem 4.52s 1.40s
% Output : Refutation 5.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 66 ( 61 unt; 0 def)
% Number of atoms : 73 ( 47 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 5 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 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 : 110 ( 109 !; 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(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(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f17,conjecture,
! [X0] : leq(X0,star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : leq(X0,star(X0)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] : ~ leq(X0,star(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
~ leq(sK0,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,
~ leq(sK0,star(sK0)),
inference(cnf_transformation,[],[f22]) ).
fof(f27,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f30,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f35,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
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(f43,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f27,f29]) ).
fof(f45,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f43,f35]) ).
fof(f52,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f34,f33]) ).
fof(f54,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f34,f35]) ).
fof(f62,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f35,f34]) ).
fof(f86,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f30,f52]) ).
fof(f88,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f86]) ).
fof(f107,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f88,f35]) ).
fof(f122,plain,
! [X2,X0,X1] : leq(X2,addition(X0,addition(X1,X2))),
inference(superposition,[],[f107,f34]) ).
fof(f123,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f31,f37]) ).
fof(f151,plain,
! [X2,X0,X1] : leq(X0,addition(X2,addition(X0,X1))),
inference(superposition,[],[f122,f35]) ).
fof(f163,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f32,f38]) ).
fof(f166,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f32,f38]) ).
fof(f190,plain,
! [X0,X1] : addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(X1,one)),
inference(forward_demodulation,[],[f166,f35]) ).
fof(f226,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f34,f54]) ).
fof(f823,plain,
! [X0,X1] : leq(X1,multiplication(addition(one,X0),X1)),
inference(superposition,[],[f88,f123]) ).
fof(f1135,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = multiplication(X0,addition(X1,one)),
inference(superposition,[],[f163,f190]) ).
fof(f1240,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(superposition,[],[f62,f45]) ).
fof(f1242,plain,
! [X0] : leq(one,star(X0)),
inference(superposition,[],[f151,f45]) ).
fof(f1274,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f1240,f35]) ).
fof(f1285,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),addition(one,X0))),
inference(forward_demodulation,[],[f1274,f163]) ).
fof(f1305,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(resolution,[],[f1242,f29]) ).
fof(f1812,plain,
! [X0,X1] : leq(X1,multiplication(star(X0),X1)),
inference(superposition,[],[f823,f1305]) ).
fof(f1819,plain,
! [X0,X1] : addition(star(X0),X1) = addition(star(X0),addition(one,X1)),
inference(superposition,[],[f54,f1305]) ).
fof(f1832,plain,
! [X0,X1] : leq(one,addition(X1,star(X0))),
inference(superposition,[],[f151,f1305]) ).
fof(f1843,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(X1,star(X0))),
inference(forward_demodulation,[],[f1819,f62]) ).
fof(f1956,plain,
! [X0,X1] : leq(one,addition(star(X0),X1)),
inference(superposition,[],[f1832,f35]) ).
fof(f1986,plain,
! [X0,X1] : leq(one,multiplication(star(X0),addition(X1,one))),
inference(superposition,[],[f1956,f190]) ).
fof(f3795,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X2,X1)),
inference(superposition,[],[f62,f226]) ).
fof(f4016,plain,
! [X0,X1] : multiplication(star(X0),addition(X1,one)) = addition(one,multiplication(star(X0),addition(X1,one))),
inference(resolution,[],[f1986,f29]) ).
fof(f6391,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),addition(X0,one))),
inference(superposition,[],[f1285,f1135]) ).
fof(f6483,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(X0,one)),
inference(forward_demodulation,[],[f6391,f4016]) ).
fof(f6776,plain,
! [X0] : leq(addition(X0,one),star(X0)),
inference(superposition,[],[f1812,f6483]) ).
fof(f6895,plain,
! [X0] : star(X0) = addition(addition(X0,one),star(X0)),
inference(resolution,[],[f6776,f29]) ).
fof(f6903,plain,
! [X0] : star(X0) = addition(star(X0),addition(X0,one)),
inference(forward_demodulation,[],[f6895,f35]) ).
fof(f6904,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),X0)),
inference(forward_demodulation,[],[f6903,f62]) ).
fof(f6905,plain,
! [X0] : star(X0) = addition(one,addition(X0,star(X0))),
inference(forward_demodulation,[],[f6904,f3795]) ).
fof(f6906,plain,
! [X0] : star(X0) = addition(star(X0),X0),
inference(forward_demodulation,[],[f6905,f1843]) ).
fof(f6907,plain,
! [X0] : star(X0) = addition(X0,star(X0)),
inference(forward_demodulation,[],[f6906,f35]) ).
fof(f7694,plain,
! [X0] : leq(X0,star(X0)),
inference(superposition,[],[f88,f6907]) ).
fof(f7885,plain,
$false,
inference(resolution,[],[f7694,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE038+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:08:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.52/1.40 % (2833551)Detected formulas, will run a generic FOF schedule.
% 4.52/1.40 % (2833580)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=987842964:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.52/1.40 % (2833575)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=2120551014:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.52/1.40 % (2833577)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=1167105184:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.52/1.40 % (2833576)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=4027031876:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.52/1.40 % (2833579)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2107274009:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.52/1.40 % (2833578)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=781419157:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.52/1.40 % (2833581)dis-21_1_sil=8000:lcm=predicate:random_seed=1547508165: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)
% 4.52/1.40 % (2833578)Refutation not found, incomplete strategy
% 4.52/1.40 % (2833578)------------------------------
% 4.52/1.40 % (2833578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.40 % (2833578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.40 % (2833578)CaDiCaL version: 2.1.3
% 4.52/1.40 % (2833578)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.40 % (2833578)Time elapsed: 0.001 s
% 4.52/1.40 % (2833578)Peak memory usage: 88 MB
% 4.52/1.40 % (2833581)Refutation not found, incomplete strategy
% 4.52/1.40 % (2833581)------------------------------
% 4.52/1.40 % (2833581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.40 % (2833581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.40 % (2833581)CaDiCaL version: 2.1.3
% 4.52/1.40 % (2833581)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.40 % (2833581)Time elapsed: 0.001 s
% 4.52/1.40 % (2833581)Peak memory usage: 88 MB
% 4.52/1.40 % (2833581)Instructions burned: 1 (million)
% 4.52/1.40 % (2833579)Instruction limit reached!
% 4.52/1.40 % (2833579)------------------------------
% 4.52/1.40 % (2833579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.40 % (2833579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.40 % (2833579)CaDiCaL version: 2.1.3
% 4.52/1.40 % (2833579)Termination reason: Instruction limit
% 4.52/1.40 % (2833579)Termination phase: Saturation
% 4.52/1.40 % (2833579)Time elapsed: 0.066 s
% 4.52/1.40 % (2833579)Peak memory usage: 88 MB
% 4.52/1.40 % (2833579)Instructions burned: 119 (million)
% 4.52/1.40 % (2833580)Instruction limit reached!
% 4.52/1.40 % (2833580)------------------------------
% 4.52/1.40 % (2833580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.40 % (2833580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.40 % (2833580)CaDiCaL version: 2.1.3
% 4.52/1.40 % (2833580)Termination reason: Instruction limit
% 4.52/1.40 % (2833580)Termination phase: Saturation
% 4.52/1.40 % (2833580)Time elapsed: 0.086 s
% 4.52/1.40 % (2833580)Peak memory usage: 89 MB
% 4.52/1.40 % (2833580)Instructions burned: 140 (million)
% 4.52/1.40 % (2833589)lrs+10_1_sil=8000:sp=occurrence:random_seed=914028253:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.52/1.40 % (2833590)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1589242756:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.52/1.40 % (2833590)Refutation not found, incomplete strategy
% 4.52/1.40 % (2833590)------------------------------
% 4.52/1.40 % (2833590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.40 % (2833590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.40 % (2833590)CaDiCaL version: 2.1.3
% 4.52/1.40 % (2833590)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.40 % (2833590)Time elapsed: 0.002 s
% 4.52/1.40 % (2833590)Peak memory usage: 88 MB
% 4.52/1.40 % (2833590)Instructions burned: 1 (million)
% 4.52/1.40 % (2833578)------------------------------
% 4.52/1.40 % (2833578)------------------------------
% 4.52/1.40 % (2833581)------------------------------
% 4.52/1.40 % (2833581)------------------------------
% 4.52/1.40 % (2833589)First to succeed.
% 4.52/1.40 % (2833589)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2833551"
% 4.52/1.40 % (2833593)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3348745697:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 4.52/1.40 % (2833594)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=2069482574:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.52/1.40 % (2833590)------------------------------
% 4.52/1.40 % (2833590)------------------------------
% 4.52/1.40 % (2833593)Refutation not found, incomplete strategy
% 4.52/1.40 % (2833593)------------------------------
% 4.52/1.40 % (2833593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.40 % (2833593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.40 % (2833593)CaDiCaL version: 2.1.3
% 4.52/1.40 % (2833593)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.40 % (2833593)Time elapsed: 0.002 s
% 4.52/1.40 % (2833593)Peak memory usage: 88 MB
% 4.52/1.40 % (2833593)Instructions burned: 1 (million)
% 4.52/1.40 % (2833597)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2646455531:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.52/1.40 % (2833597)Refutation not found, incomplete strategy
% 4.52/1.40 % (2833597)------------------------------
% 4.52/1.40 % (2833597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.40 % (2833597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.40 % (2833597)CaDiCaL version: 2.1.3
% 4.52/1.40 % (2833597)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.40 % (2833597)Time elapsed: 0.001 s
% 4.52/1.40 % (2833597)Peak memory usage: 88 MB
% 4.52/1.40 % (2833597)Instructions burned: 1 (million)
% 4.52/1.40 % (2833594)Instruction limit reached!
% 4.52/1.40 % (2833594)------------------------------
% 4.52/1.40 % (2833594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.40 % (2833594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.40 % (2833594)CaDiCaL version: 2.1.3
% 4.52/1.40 % (2833594)Termination reason: Instruction limit
% 4.52/1.40 % (2833594)Termination phase: Saturation
% 4.52/1.40 % (2833594)Time elapsed: 0.158 s
% 4.52/1.40 % (2833594)Peak memory usage: 91 MB
% 4.52/1.40 % (2833594)Instructions burned: 248 (million)
% 4.52/1.40 % (2833577)Refutation not found, incomplete strategy
% 4.52/1.40 % (2833577)------------------------------
% 4.52/1.40 % (2833577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.40 % (2833577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.40 % (2833577)CaDiCaL version: 2.1.3
% 4.52/1.40 % (2833577)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.40 % (2833577)Time elapsed: 0.604 s
% 4.52/1.40 % (2833577)Peak memory usage: 126 MB
% 4.52/1.40 % (2833577)Instructions burned: 890 (million)
% 4.52/1.40 % (2833597)------------------------------
% 4.52/1.40 % (2833597)------------------------------
% 4.52/1.40 % (2833593)------------------------------
% 4.52/1.40 % (2833593)------------------------------
% 4.52/1.40 % (2833589)Refutation found. Thanks to Tanya!
% 4.52/1.40 % SZS status Theorem for theBenchmark
% 4.52/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 5.76/1.59 % (2833589)------------------------------
% 5.76/1.59 % (2833589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.59 % (2833589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.59 % (2833589)CaDiCaL version: 2.1.3
% 5.76/1.59 % (2833589)Termination reason: Refutation
% 5.76/1.59 % (2833589)Time elapsed: 0.165 s
% 5.76/1.59 % (2833589)Peak memory usage: 91 MB
% 5.76/1.59 % (2833589)Instructions burned: 254 (million)
% 5.76/1.59 % (2833589)------------------------------
% 5.76/1.59 % (2833589)------------------------------
% 5.76/1.59 % (2833551)Success in time 0.769 s
% 5.76/1.59 % Vampire exiting
%------------------------------------------------------------------------------