%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP189-2 : 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 : n019.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 10:13:17 AM UTC 2026
% Result : Unsatisfiable 9.56s 2.53s
% Output : Refutation 9.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 1 def)
% Number of atoms : 9 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f21,negated_conjecture,
greatest_lower_bound(b,least_upper_bound(a,b)) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p38b) ).
fof(f22,plain,
b != greatest_lower_bound(b,least_upper_bound(a,b)),
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
~ sP0(greatest_lower_bound(b,least_upper_bound(a,b))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f24,plain,
sP0(b),
inference(inequality_splitting,[],[f22,f23]) ).
fof(f37,plain,
! [X0,X1] : greatest_lower_bound(X1,least_upper_bound(X0,X1)) = X1,
inference(superposition,[],[f12,f6]) ).
fof(f40,plain,
~ sP0(b),
inference(backward_demodulation,[],[f23,f37]) ).
fof(f41,plain,
$false,
inference(forward_subsumption_resolution,[],[f40,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP189-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n019.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 27 09:36:48 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.52 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
% 9.56/2.53 % (2835219)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.56/2.53 % (2835228)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3769171136:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.56/2.53 % (2835226)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=3456710268:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.56/2.53 % (2835227)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=2351948756:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.56/2.53 % (2835229)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1442847126:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.56/2.53 % (2835230)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2698374453:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.56/2.53 % (2835231)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3206713963:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.56/2.53 % (2835229)First to succeed.
% 9.56/2.53 % (2835229)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2835219"
% 9.56/2.53 % (2835231)Also succeeded, but the first one will report.
% 9.56/2.53 % (2835232)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1040843548:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.56/2.53 % (2835232)Also succeeded, but the first one will report.
% 9.56/2.53 % (2835230)Also succeeded, but the first one will report.
% 9.56/2.53 % (2835228)Also succeeded, but the first one will report.
% 9.56/2.53 % (2835241)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=602074717:i=4948:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/4948Mi)
% 9.56/2.53 % (2835240)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=579457081:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2992 on theBenchmark for (2992ds/2051Mi)
% 9.56/2.53 % (2835242)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1483989269:i=215:ep=RSTC_2992 on theBenchmark for (2992ds/215Mi)
% 9.56/2.53 % (2835227)Also succeeded, but the first one will report.
% 9.56/2.53 % (2835226)Also succeeded, but the first one will report.
% 9.56/2.53 % (2835242)Instruction limit reached!
% 9.56/2.53 % (2835242)------------------------------
% 9.56/2.53 % (2835242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.53 % (2835242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.53 % (2835242)CaDiCaL version: 2.1.3
% 9.56/2.53 % (2835242)Termination reason: Instruction limit
% 9.56/2.53 % (2835242)Termination phase: Saturation
% 9.56/2.53 % (2835242)Time elapsed: 0.194 s
% 9.56/2.53 % (2835242)Peak memory usage: 92 MB
% 9.56/2.53 % (2835242)Instructions burned: 216 (million)
% 9.56/2.53 % (2835229)Refutation found. Thanks to Tanya!
% 9.56/2.53 % SZS status Unsatisfiable for theBenchmark
% 9.56/2.53 % SZS output start Proof for theBenchmark
% See solution above
% 9.56/2.53 % (2835229)------------------------------
% 9.56/2.53 % (2835229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.53 % (2835229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.53 % (2835229)CaDiCaL version: 2.1.3
% 9.56/2.53 % (2835229)Termination reason: Refutation
% 9.56/2.53 % (2835229)Time elapsed: 0.004 s
% 9.56/2.53 % (2835229)Peak memory usage: 87 MB
% 9.56/2.53 % (2835229)Instructions burned: 2 (million)
% 9.56/2.53 % (2835229)------------------------------
% 9.56/2.53 % (2835229)------------------------------
% 9.56/2.53 % (2835219)Success in time 1.34 s
% 9.56/2.53 % Vampire exiting
%------------------------------------------------------------------------------