%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP140-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 10:13:04 AM UTC 2026
% Result : Unsatisfiable 6.00s 1.81s
% Output : Refutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f6,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f7,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_glb) ).
fof(f11,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f17,axiom,
greatest_lower_bound(a,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1c_1) ).
fof(f18,plain,
c = greatest_lower_bound(a,c),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
greatest_lower_bound(b,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1c_2) ).
fof(f20,plain,
c = greatest_lower_bound(b,c),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
least_upper_bound(greatest_lower_bound(a,b),c) != greatest_lower_bound(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_glb1c) ).
fof(f22,plain,
greatest_lower_bound(a,b) != least_upper_bound(greatest_lower_bound(a,b),c),
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
greatest_lower_bound(a,b) != least_upper_bound(c,greatest_lower_bound(a,b)),
inference(forward_demodulation,[],[f22,f6]) ).
fof(f24,plain,
c = greatest_lower_bound(c,b),
inference(forward_demodulation,[],[f20,f5]) ).
fof(f25,plain,
c = greatest_lower_bound(c,a),
inference(forward_demodulation,[],[f18,f5]) ).
fof(f27,plain,
! [X0,X1] : least_upper_bound(X1,greatest_lower_bound(X0,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f38,plain,
! [X0] : greatest_lower_bound(c,greatest_lower_bound(b,X0)) = greatest_lower_bound(c,X0),
inference(superposition,[],[f7,f24]) ).
fof(f52,plain,
! [X0] : greatest_lower_bound(b,X0) = least_upper_bound(greatest_lower_bound(b,X0),greatest_lower_bound(c,X0)),
inference(superposition,[],[f27,f38]) ).
fof(f54,plain,
! [X0] : greatest_lower_bound(b,X0) = least_upper_bound(greatest_lower_bound(c,X0),greatest_lower_bound(b,X0)),
inference(forward_demodulation,[],[f52,f6]) ).
fof(f58,plain,
greatest_lower_bound(b,a) = least_upper_bound(c,greatest_lower_bound(b,a)),
inference(superposition,[],[f54,f25]) ).
fof(f64,plain,
greatest_lower_bound(a,b) = least_upper_bound(c,greatest_lower_bound(a,b)),
inference(forward_demodulation,[],[f58,f5]) ).
fof(f66,plain,
$false,
inference(forward_subsumption_resolution,[],[f64,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP140-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:34:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.00/1.81 % (2076008)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.00/1.81 % (2076014)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1277401638:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.00/1.81 % (2076015)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3042940063:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.00/1.81 % (2076013)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=414270826:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.00/1.81 % (2076016)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=450706742:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.00/1.81 % (2076017)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=346036756:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.00/1.81 % (2076019)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=813923591:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.00/1.81 % (2076018)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2871332853:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.00/1.81 % (2076016)Instruction limit reached!
% 6.00/1.81 % (2076016)------------------------------
% 6.00/1.81 % (2076016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.81 % (2076016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.81 % (2076016)CaDiCaL version: 2.1.3
% 6.00/1.81 % (2076016)Termination reason: Instruction limit
% 6.00/1.81 % (2076016)Termination phase: Saturation
% 6.00/1.81 % (2076016)Time elapsed: 0.084 s
% 6.00/1.81 % (2076016)Peak memory usage: 89 MB
% 6.00/1.81 % (2076016)Instructions burned: 136 (million)
% 6.00/1.81 % (2076017)Instruction limit reached!
% 6.00/1.81 % (2076017)------------------------------
% 6.00/1.81 % (2076017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.81 % (2076017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.81 % (2076017)CaDiCaL version: 2.1.3
% 6.00/1.81 % (2076017)Termination reason: Instruction limit
% 6.00/1.81 % (2076017)Termination phase: Saturation
% 6.00/1.81 % (2076017)Time elapsed: 0.107 s
% 6.00/1.81 % (2076017)Peak memory usage: 89 MB
% 6.00/1.81 % (2076017)Instructions burned: 183 (million)
% 6.00/1.81 % (2076018)Instruction limit reached!
% 6.00/1.81 % (2076018)------------------------------
% 6.00/1.81 % (2076018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.81 % (2076018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.81 % (2076018)CaDiCaL version: 2.1.3
% 6.00/1.81 % (2076018)Termination reason: Instruction limit
% 6.00/1.81 % (2076018)Termination phase: Saturation
% 6.00/1.81 % (2076018)Time elapsed: 0.162 s
% 6.00/1.81 % (2076018)Peak memory usage: 91 MB
% 6.00/1.81 % (2076018)Instructions burned: 258 (million)
% 6.00/1.81 % (2076027)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1864540554:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 6.00/1.81 % (2076028)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2225203051:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 6.00/1.81 % (2076029)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1784877654:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.00/1.81 % (2076014)First to succeed.
% 6.00/1.81 % (2076014)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2076008"
% 6.00/1.81 % (2076019)Also succeeded, but the first one will report.
% 6.00/1.81 % (2076029)Instruction limit reached!
% 6.00/1.81 % (2076029)------------------------------
% 6.00/1.81 % (2076029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.81 % (2076029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.81 % (2076029)CaDiCaL version: 2.1.3
% 6.00/1.81 % (2076029)Termination reason: Instruction limit
% 6.00/1.81 % (2076029)Termination phase: Saturation
% 6.00/1.81 % (2076029)Time elapsed: 0.064 s
% 6.00/1.81 % (2076029)Peak memory usage: 92 MB
% 6.00/1.81 % (2076029)Instructions burned: 216 (million)
% 6.00/1.81 % (2076033)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=157520669:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 6.00/1.81 % (2076033)Also succeeded, but the first one will report.
% 6.00/1.81 % (2076014)Refutation found. Thanks to Tanya!
% 6.00/1.81 % SZS status Unsatisfiable for theBenchmark
% 6.00/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 6.00/1.81 % (2076014)------------------------------
% 6.00/1.81 % (2076014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.81 % (2076014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.81 % (2076014)CaDiCaL version: 2.1.3
% 6.00/1.81 % (2076014)Termination reason: Refutation
% 6.00/1.81 % (2076014)Time elapsed: 0.376 s
% 6.00/1.81 % (2076014)Peak memory usage: 128 MB
% 6.00/1.81 % (2076014)Instructions burned: 908 (million)
% 6.00/1.81 % (2076014)------------------------------
% 6.00/1.81 % (2076014)------------------------------
% 6.00/1.81 % (2076008)Success in time 0.762 s
% 6.00/1.81 % Vampire exiting
%------------------------------------------------------------------------------