%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP156-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 10:13:06 AM UTC 2026
% Result : Unsatisfiable 4.00s 1.59s
% Output : Refutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 12 unt; 1 def)
% Number of atoms : 12 ( 8 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f16,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb2) ).
fof(f17,axiom,
least_upper_bound(a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_mono1c_1) ).
fof(f18,plain,
b = least_upper_bound(a,b),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
greatest_lower_bound(multiply(a,c),multiply(b,c)) != multiply(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_mono1c) ).
fof(f20,plain,
multiply(a,c) != greatest_lower_bound(multiply(a,c),multiply(b,c)),
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
~ sP0(multiply(a,c)),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f22,plain,
sP0(greatest_lower_bound(multiply(a,c),multiply(b,c))),
inference(inequality_splitting,[],[f20,f21]) ).
fof(f26,plain,
a = greatest_lower_bound(a,b),
inference(superposition,[],[f12,f18]) ).
fof(f244,plain,
! [X0] : multiply(a,X0) = greatest_lower_bound(multiply(a,X0),multiply(b,X0)),
inference(superposition,[],[f16,f26]) ).
fof(f263,plain,
sP0(multiply(a,c)),
inference(backward_demodulation,[],[f22,f244]) ).
fof(f272,plain,
$false,
inference(forward_subsumption_resolution,[],[f263,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP156-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:36:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 4.00/1.59 % (3288057)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.00/1.59 % (3288087)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2234651581:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.00/1.59 % (3288091)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2998693242:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.00/1.59 % (3288086)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=730845968:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.00/1.59 % (3288090)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2971150201:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.00/1.59 % (3288088)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=331462456:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.00/1.59 % (3288085)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=1564299876:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.00/1.59 % (3288088)First to succeed.
% 4.00/1.59 % (3288088)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3288057"
% 4.00/1.59 % (3288089)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2378796072:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.00/1.59 % (3288091)Also succeeded, but the first one will report.
% 4.00/1.59 % (3288090)Also succeeded, but the first one will report.
% 4.00/1.59 % (3288089)Instruction limit reached!
% 4.00/1.59 % (3288089)------------------------------
% 4.00/1.59 % (3288089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.59 % (3288089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.59 % (3288089)CaDiCaL version: 2.1.3
% 4.00/1.59 % (3288089)Termination reason: Instruction limit
% 4.00/1.59 % (3288089)Termination phase: Saturation
% 4.00/1.59 % (3288089)Time elapsed: 0.108 s
% 4.00/1.59 % (3288089)Peak memory usage: 89 MB
% 4.00/1.59 % (3288089)Instructions burned: 184 (million)
% 4.00/1.59 % (3288088)Refutation found. Thanks to Tanya!
% 4.00/1.59 % SZS status Unsatisfiable for theBenchmark
% 4.00/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 4.00/1.59 % (3288088)------------------------------
% 4.00/1.59 % (3288088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.59 % (3288088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.59 % (3288088)CaDiCaL version: 2.1.3
% 4.00/1.59 % (3288088)Termination reason: Refutation
% 4.00/1.59 % (3288088)Time elapsed: 0.009 s
% 4.00/1.59 % (3288088)Peak memory usage: 88 MB
% 4.00/1.59 % (3288088)Instructions burned: 11 (million)
% 4.00/1.59 % (3288088)------------------------------
% 4.00/1.59 % (3288088)------------------------------
% 4.00/1.59 % (3288057)Success in time 0.484 s
% 4.00/1.59 % Vampire exiting
%------------------------------------------------------------------------------