%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP138-1 : 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 : n001.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 6.15s 1.81s
% Output : Refutation 6.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 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 : 4 ( 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 : 17 ( 17 !; 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(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f17,axiom,
least_upper_bound(a,c) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1a_1) ).
fof(f18,plain,
a = least_upper_bound(a,c),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
least_upper_bound(b,c) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1a_2) ).
fof(f20,plain,
b = least_upper_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_glb1a) ).
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(backward_demodulation,[],[f22,f6]) ).
fof(f50,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
inference(superposition,[],[f12,f6]) ).
fof(f63,plain,
! [X2,X0,X1] : greatest_lower_bound(X1,X2) = least_upper_bound(greatest_lower_bound(X1,X2),greatest_lower_bound(X1,greatest_lower_bound(X2,X0))),
inference(superposition,[],[f11,f7]) ).
fof(f94,plain,
c = greatest_lower_bound(c,b),
inference(superposition,[],[f50,f20]) ).
fof(f95,plain,
c = greatest_lower_bound(c,a),
inference(superposition,[],[f50,f18]) ).
fof(f104,plain,
c = greatest_lower_bound(a,c),
inference(forward_demodulation,[],[f95,f5]) ).
fof(f105,plain,
c = greatest_lower_bound(b,c),
inference(forward_demodulation,[],[f94,f5]) ).
fof(f118,plain,
! [X0] : greatest_lower_bound(X0,b) = least_upper_bound(greatest_lower_bound(X0,b),greatest_lower_bound(X0,c)),
inference(superposition,[],[f63,f105]) ).
fof(f132,plain,
greatest_lower_bound(a,b) = least_upper_bound(greatest_lower_bound(a,b),c),
inference(superposition,[],[f118,f104]) ).
fof(f139,plain,
greatest_lower_bound(a,b) = least_upper_bound(c,greatest_lower_bound(a,b)),
inference(forward_demodulation,[],[f132,f6]) ).
fof(f144,plain,
$false,
inference(forward_subsumption_resolution,[],[f139,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP138-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 09:38:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 6.15/1.81 % (3295563)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.15/1.81 % (3295572)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2499554528:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.15/1.81 % (3295574)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=650157273:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.15/1.81 % (3295571)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1073876695:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.15/1.81 % (3295570)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2962689694:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.15/1.81 % (3295569)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=913747324:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.15/1.81 % (3295568)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=3451595710:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.15/1.81 % (3295573)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3247701131:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.15/1.81 % (3295572)Instruction limit reached!
% 6.15/1.81 % (3295572)------------------------------
% 6.15/1.81 % (3295572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.81 % (3295572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.81 % (3295572)CaDiCaL version: 2.1.3
% 6.15/1.81 % (3295572)Termination reason: Instruction limit
% 6.15/1.81 % (3295572)Termination phase: Saturation
% 6.15/1.81 % (3295572)Time elapsed: 0.057 s
% 6.15/1.81 % (3295572)Peak memory usage: 89 MB
% 6.15/1.81 % (3295572)Instructions burned: 183 (million)
% 6.15/1.81 % (3295571)Instruction limit reached!
% 6.15/1.81 % (3295571)------------------------------
% 6.15/1.81 % (3295571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.81 % (3295571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.81 % (3295571)CaDiCaL version: 2.1.3
% 6.15/1.81 % (3295571)Termination reason: Instruction limit
% 6.15/1.81 % (3295571)Termination phase: Saturation
% 6.15/1.81 % (3295571)Time elapsed: 0.084 s
% 6.15/1.81 % (3295571)Peak memory usage: 88 MB
% 6.15/1.81 % (3295571)Instructions burned: 136 (million)
% 6.15/1.81 % (3295582)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2480590628:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 6.15/1.81 % (3295573)Instruction limit reached!
% 6.15/1.81 % (3295573)------------------------------
% 6.15/1.81 % (3295573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.81 % (3295573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.81 % (3295573)CaDiCaL version: 2.1.3
% 6.15/1.81 % (3295573)Termination reason: Instruction limit
% 6.15/1.81 % (3295573)Termination phase: Saturation
% 6.15/1.81 % (3295573)Time elapsed: 0.169 s
% 6.15/1.81 % (3295573)Peak memory usage: 91 MB
% 6.15/1.81 % (3295573)Instructions burned: 258 (million)
% 6.15/1.81 % (3295583)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2637885440:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 6.15/1.81 % (3295585)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3902429868:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.15/1.81 % (3295585)Instruction limit reached!
% 6.15/1.81 % (3295585)------------------------------
% 6.15/1.81 % (3295585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.81 % (3295585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.81 % (3295585)CaDiCaL version: 2.1.3
% 6.15/1.81 % (3295585)Termination reason: Instruction limit
% 6.15/1.81 % (3295585)Termination phase: Saturation
% 6.15/1.81 % (3295585)Time elapsed: 0.118 s
% 6.15/1.81 % (3295585)Peak memory usage: 92 MB
% 6.15/1.81 % (3295585)Instructions burned: 216 (million)
% 6.15/1.81 % (3295582)First to succeed.
% 6.15/1.81 % (3295582)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3295563"
% 6.15/1.81 % (3295588)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=2226577494: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)
% 6.15/1.81 % (3295574)Also succeeded, but the first one will report.
% 6.15/1.81 % (3295569)Also succeeded, but the first one will report.
% 6.15/1.81 % (3295582)Refutation found. Thanks to Tanya!
% 6.15/1.81 % SZS status Unsatisfiable for theBenchmark
% 6.15/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 6.15/1.81 % (3295582)------------------------------
% 6.15/1.81 % (3295582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.81 % (3295582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.81 % (3295582)CaDiCaL version: 2.1.3
% 6.15/1.81 % (3295582)Termination reason: Refutation
% 6.15/1.81 % (3295582)Time elapsed: 0.343 s
% 6.15/1.81 % (3295582)Peak memory usage: 128 MB
% 6.15/1.81 % (3295582)Instructions burned: 930 (million)
% 6.15/1.81 % (3295582)------------------------------
% 6.15/1.81 % (3295582)------------------------------
% 6.15/1.81 % (3295563)Success in time 0.782 s
% 6.15/1.81 % Vampire exiting
%------------------------------------------------------------------------------