%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL031+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 : n014.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 12:33:57 PM UTC 2026
% Result : Theorem 8.93s 2.38s
% Output : Refutation 8.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 44 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 6 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 76 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f14,conjecture,
! [X0,X1] :
( ( join(composition(converse(X0),X0),one) = one
& join(composition(converse(X1),X1),one) = one )
=> join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) = one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( ( join(composition(converse(X0),X0),one) = one
& join(composition(converse(X1),X1),one) = one )
=> join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) = one ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( one != join(composition(converse(composition(X0,X1)),composition(X0,X1)),one)
& join(composition(converse(X0),X0),one) = one
& join(composition(converse(X1),X1),one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
? [X0,X1] :
( one != join(composition(converse(composition(X0,X1)),composition(X0,X1)),one)
& join(composition(converse(X0),X0),one) = one
& join(composition(converse(X1),X1),one) = one ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
( one != join(composition(converse(composition(sK0,sK1)),composition(sK0,sK1)),one)
& one = join(composition(converse(sK0),sK0),one)
& one = join(composition(converse(sK1),sK1),one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f17]) ).
fof(f19,plain,
one = join(composition(converse(sK1),sK1),one),
inference(cnf_transformation,[],[f18]) ).
fof(f20,plain,
one = join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f18]) ).
fof(f21,plain,
one != join(composition(converse(composition(sK0,sK1)),composition(sK0,sK1)),one),
inference(cnf_transformation,[],[f18]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f32,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
one = join(one,composition(converse(sK1),sK1)),
inference(forward_demodulation,[],[f19,f29]) ).
fof(f39,plain,
one = join(one,composition(converse(sK0),sK0)),
inference(forward_demodulation,[],[f20,f29]) ).
fof(f40,plain,
one != join(one,composition(converse(composition(sK0,sK1)),composition(sK0,sK1))),
inference(forward_demodulation,[],[f21,f29]) ).
fof(f46,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f33]) ).
fof(f48,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f25,f30]) ).
fof(f69,plain,
! [X2,X0,X1] : converse(composition(composition(converse(X1),X0),X2)) = composition(converse(X2),composition(converse(X0),X1)),
inference(superposition,[],[f30,f46]) ).
fof(f75,plain,
! [X2,X0,X1] : composition(converse(X2),composition(converse(X0),X1)) = converse(composition(converse(X1),composition(X0,X2))),
inference(forward_demodulation,[],[f69,f32]) ).
fof(f80,plain,
! [X2,X0,X1] : composition(converse(X2),composition(converse(X0),X1)) = composition(converse(composition(X0,X2)),X1),
inference(forward_demodulation,[],[f75,f46]) ).
fof(f117,plain,
! [X0] : join(one,X0) = join(one,join(composition(converse(sK1),sK1),X0)),
inference(superposition,[],[f28,f38]) ).
fof(f130,plain,
! [X0] : join(one,composition(X0,sK1)) = join(one,composition(join(converse(sK1),X0),sK1)),
inference(superposition,[],[f117,f25]) ).
fof(f480,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f48,f30]) ).
fof(f492,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f480,f24]) ).
fof(f509,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f492,f24]) ).
fof(f519,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f509,f30]) ).
fof(f547,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f33,f519]) ).
fof(f560,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f547,f33]) ).
fof(f597,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f560,f31]) ).
fof(f654,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),sK0))),
inference(superposition,[],[f597,f39]) ).
fof(f697,plain,
! [X0] : join(X0,composition(X0,composition(converse(sK0),sK0))) = X0,
inference(forward_demodulation,[],[f654,f31]) ).
fof(f807,plain,
join(one,composition(converse(sK1),sK1)) = join(one,composition(composition(converse(sK1),composition(converse(sK0),sK0)),sK1)),
inference(superposition,[],[f130,f697]) ).
fof(f821,plain,
join(one,composition(converse(sK1),sK1)) = join(one,composition(converse(sK1),composition(composition(converse(sK0),sK0),sK1))),
inference(forward_demodulation,[],[f807,f32]) ).
fof(f838,plain,
join(one,composition(converse(sK1),sK1)) = join(one,composition(converse(sK1),composition(converse(sK0),composition(sK0,sK1)))),
inference(forward_demodulation,[],[f821,f32]) ).
fof(f849,plain,
join(one,composition(converse(sK1),sK1)) = join(one,composition(converse(composition(sK0,sK1)),composition(sK0,sK1))),
inference(forward_demodulation,[],[f838,f80]) ).
fof(f857,plain,
one = join(one,composition(converse(composition(sK0,sK1)),composition(sK0,sK1))),
inference(forward_demodulation,[],[f849,f38]) ).
fof(f861,plain,
$false,
inference(forward_subsumption_resolution,[],[f857,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL031+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n014.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:54:29 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 6.78/2.04 % (1261951)Detected formulas, will run a generic FOF schedule.
% 6.78/2.04 % (1261961)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4119528018:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.78/2.04 % (1261962)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1361562725:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.78/2.04 % (1261960)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1118747306:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.78/2.04 % (1261963)dis-21_1_sil=8000:lcm=predicate:random_seed=2681209: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)
% 6.78/2.04 % (1261958)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=4270370333:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.78/2.04 % (1261957)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=2965768926:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.78/2.04 % (1261959)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=3424870204:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.78/2.04 % (1261963)Refutation not found, incomplete strategy
% 6.78/2.04 % (1261963)------------------------------
% 6.78/2.04 % (1261963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1261963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.04 % (1261963)CaDiCaL version: 2.1.3
% 6.78/2.04 % (1261963)Termination reason: Refutation not found, incomplete strategy
% 6.78/2.04 % (1261963)Time elapsed: 0.001 s
% 6.78/2.04 % (1261963)Peak memory usage: 88 MB
% 6.78/2.04 % (1261963)Instructions burned: 1 (million)
% 6.78/2.04 % (1261961)Instruction limit reached!
% 6.78/2.04 % (1261961)------------------------------
% 6.78/2.04 % (1261961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1261961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.04 % (1261961)CaDiCaL version: 2.1.3
% 6.78/2.04 % (1261961)Termination reason: Instruction limit
% 6.78/2.04 % (1261961)Termination phase: Saturation
% 6.78/2.04 % (1261961)Time elapsed: 0.036 s
% 6.78/2.04 % (1261961)Peak memory usage: 88 MB
% 6.78/2.04 % (1261961)Instructions burned: 124 (million)
% 6.78/2.04 % (1261960)Instruction limit reached!
% 6.78/2.04 % (1261960)------------------------------
% 6.78/2.04 % (1261960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1261960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.04 % (1261960)CaDiCaL version: 2.1.3
% 6.78/2.04 % (1261960)Termination reason: Instruction limit
% 6.78/2.04 % (1261960)Termination phase: Saturation
% 6.78/2.04 % (1261960)Time elapsed: 0.063 s
% 6.78/2.04 % (1261960)Peak memory usage: 89 MB
% 6.78/2.04 % (1261960)Instructions burned: 110 (million)
% 6.78/2.04 % (1261962)Instruction limit reached!
% 6.78/2.04 % (1261962)------------------------------
% 6.78/2.04 % (1261962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1261962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.04 % (1261962)CaDiCaL version: 2.1.3
% 6.78/2.04 % (1261962)Termination reason: Instruction limit
% 6.78/2.04 % (1261962)Termination phase: Saturation
% 6.78/2.04 % (1261962)Time elapsed: 0.081 s
% 6.78/2.04 % (1261962)Peak memory usage: 89 MB
% 6.78/2.04 % (1261962)Instructions burned: 141 (million)
% 6.78/2.04 % (1262009)lrs+10_1_sil=8000:sp=occurrence:random_seed=835924908:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.78/2.04 % (1262018)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2039858183:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.78/2.04 % (1262028)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1559809660:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.78/2.04 % (1262009)Instruction limit reached!
% 6.78/2.04 % (1262009)------------------------------
% 6.78/2.04 % (1262009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1262009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.04 % (1262009)CaDiCaL version: 2.1.3
% 6.78/2.04 % (1262009)Termination reason: Instruction limit
% 6.78/2.04 % (1262009)Termination phase: Saturation
% 6.78/2.04 % (1262009)Time elapsed: 0.094 s
% 6.78/2.04 % (1262009)Peak memory usage: 91 MB
% 6.78/2.04 % (1262009)Instructions burned: 289 (million)
% 6.78/2.04 % (1261963)------------------------------
% 6.78/2.04 % (1261963)------------------------------
% 6.78/2.04 % (1262018)Instruction limit reached!
% 6.78/2.04 % (1262018)------------------------------
% 6.78/2.04 % (1262018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1262018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.04 % (1262018)CaDiCaL version: 2.1.3
% 6.78/2.04 % (1262018)Termination reason: Instruction limit
% 6.78/2.04 % (1262018)Termination phase: Saturation
% 6.78/2.04 % (1262018)Time elapsed: 0.091 s
% 6.78/2.04 % (1262018)Peak memory usage: 89 MB
% 6.78/2.04 % (1262018)Instructions burned: 159 (million)
% 6.78/2.04 % (1262098)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=2863370647:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.78/2.04 % (1262101)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=87567896:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.78/2.04 % (1262098)Instruction limit reached!
% 6.78/2.04 % (1262098)------------------------------
% 6.78/2.04 % (1262098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1262098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.04 % (1262098)CaDiCaL version: 2.1.3
% 6.78/2.04 % (1262098)Termination reason: Instruction limit
% 6.78/2.04 % (1262098)Termination phase: Saturation
% 6.78/2.04 % (1262098)Time elapsed: 0.080 s
% 6.78/2.04 % (1262098)Peak memory usage: 91 MB
% 6.78/2.04 % (1262098)Instructions burned: 251 (million)
% 6.78/2.04 % (1262028)Instruction limit reached!
% 6.78/2.04 % (1262028)------------------------------
% 6.78/2.04 % (1262028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1262028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.04 % (1262028)CaDiCaL version: 2.1.3
% 6.78/2.04 % (1262028)Termination reason: Instruction limit
% 6.78/2.04 % (1262028)Termination phase: Saturation
% 6.78/2.04 % (1262028)Time elapsed: 0.197 s
% 6.78/2.04 % (1262028)Peak memory usage: 91 MB
% 6.78/2.04 % (1262028)Instructions burned: 326 (million)
% 6.78/2.04 % (1262122)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3501098954:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.78/2.04 % (1262167)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2667110291:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.78/2.04 % (1262101)Instruction limit reached!
% 6.78/2.04 % (1262101)------------------------------
% 6.78/2.04 % (1262101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1262101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.04 % (1262101)CaDiCaL version: 2.1.3
% 6.78/2.04 % (1262101)Termination reason: Instruction limit
% 6.78/2.04 % (1262101)Termination phase: Saturation
% 6.78/2.04 % (1262101)Time elapsed: 0.168 s
% 6.78/2.04 % (1262101)Peak memory usage: 90 MB
% 6.78/2.04 % (1262101)Instructions burned: 294 (million)
% 6.78/2.04 % (1262167)Instruction limit reached!
% 6.78/2.04 % (1262167)------------------------------
% 6.78/2.04 % (1262167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1262167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.04 % (1262167)CaDiCaL version: 2.1.3
% 6.78/2.04 % (1262167)Termination reason: Instruction limit
% 6.78/2.04 % (1262167)Termination phase: Saturation
% 6.78/2.04 % (1262167)Time elapsed: 0.035 s
% 6.78/2.04 % (1262167)Peak memory usage: 89 MB
% 6.78/2.04 % (1262167)Instructions burned: 116 (million)
% 6.78/2.04 % (1262174)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1803938401:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.78/2.04 % (1262174)Refutation not found, incomplete strategy
% 6.78/2.04 % (1262174)------------------------------
% 6.78/2.04 % (1262174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.04 % (1262174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.38 % (1262174)CaDiCaL version: 2.1.3
% 8.93/2.38 % (1262174)Termination reason: Refutation not found, incomplete strategy
% 8.93/2.38 % (1262174)Time elapsed: 0.001 s
% 8.93/2.38 % (1262174)Peak memory usage: 87 MB
% 8.93/2.38 % (1262211)lrs+10_1_sil=8000:sp=occurrence:random_seed=2771320275:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.93/2.38 % (1261958)First to succeed.
% 8.93/2.38 % (1261958)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1261951"
% 8.93/2.38 % (1262210)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2350662725:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.93/2.38 % (1262210)Instruction limit reached!
% 8.93/2.38 % (1262210)------------------------------
% 8.93/2.38 % (1262210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.38 % (1262210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.38 % (1262210)CaDiCaL version: 2.1.3
% 8.93/2.38 % (1262210)Termination reason: Instruction limit
% 8.93/2.38 % (1262210)Termination phase: Saturation
% 8.93/2.38 % (1262210)Time elapsed: 0.067 s
% 8.93/2.38 % (1262210)Peak memory usage: 89 MB
% 8.93/2.38 % (1262210)Instructions burned: 115 (million)
% 8.93/2.38 % (1262174)------------------------------
% 8.93/2.38 % (1262174)------------------------------
% 8.93/2.38 % (1262230)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3262325600:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.93/2.38 % (1261958)Refutation found. Thanks to Tanya!
% 8.93/2.38 % SZS status Theorem for theBenchmark
% 8.93/2.38 % SZS output start Proof for theBenchmark
% See solution above
% 8.93/2.38 % (1261958)------------------------------
% 8.93/2.38 % (1261958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.38 % (1261958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.38 % (1261958)CaDiCaL version: 2.1.3
% 8.93/2.38 % (1261958)Termination reason: Refutation
% 8.93/2.38 % (1261958)Time elapsed: 0.724 s
% 8.93/2.38 % (1261958)Peak memory usage: 128 MB
% 8.93/2.38 % (1261958)Instructions burned: 1068 (million)
% 8.93/2.38 % (1261958)------------------------------
% 8.93/2.38 % (1261958)------------------------------
% 8.93/2.38 % (1261951)Success in time 1.17 s
% 8.93/2.38 % Vampire exiting
%------------------------------------------------------------------------------