%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM854+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:17:17 PM UTC 2026
% Result : Theorem 3.39s 1.25s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).
fof(f2,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
greater(vd508,vd509),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)') ).
fof(f10,axiom,
! [X0,X1,X2] :
( greater(X1,X2)
=> greater(vmul(X1,X0),vmul(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof(f29,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(flattening,[],[f2]) ).
fof(f30,plain,
! [X0,X1,X2] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f34,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f29]) ).
fof(f35,plain,
greater(vd508,vd509),
inference(cnf_transformation,[],[f4]) ).
fof(f37,plain,
! [X2,X0,X1] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f47,plain,
~ greater(vd508,vd509),
inference(resolution,[],[f37,f34]) ).
fof(f53,plain,
$false,
inference(forward_subsumption_resolution,[],[f47,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM854+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n019.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 21:33:38 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.39/1.25 % (3424774)Detected formulas, will run a generic FOF schedule.
% 3.39/1.25 % (3424784)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=145564704:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.39/1.25 % (3424785)dis-21_1_sil=8000:lcm=predicate:random_seed=1397885181: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)
% 3.39/1.25 % (3424783)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3368619146:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.39/1.25 % (3424779)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=3171329878:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.39/1.25 % (3424780)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=3079196919:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.39/1.25 % (3424781)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=3768158938:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.39/1.25 % (3424782)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2043986411:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.39/1.25 % (3424782)Refutation not found, incomplete strategy
% 3.39/1.25 % (3424782)------------------------------
% 3.39/1.25 % (3424782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.25 % (3424782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.25 % (3424782)CaDiCaL version: 2.1.3
% 3.39/1.25 % (3424782)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.25 % (3424782)Time elapsed: 0.001 s
% 3.39/1.25 % (3424782)Peak memory usage: 88 MB
% 3.39/1.25 % (3424783)First to succeed.
% 3.39/1.25 % (3424783)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3424774"
% 3.39/1.25 % (3424785)Also succeeded, but the first one will report.
% 3.39/1.25 % (3424784)Also succeeded, but the first one will report.
% 3.39/1.25 % (3424782)------------------------------
% 3.39/1.25 % (3424782)------------------------------
% 3.39/1.25 % (3424783)Refutation found. Thanks to Tanya!
% 3.39/1.25 % SZS status Theorem for theBenchmark
% 3.39/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.39/1.25 % (3424783)------------------------------
% 3.39/1.25 % (3424783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.25 % (3424783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.25 % (3424783)CaDiCaL version: 2.1.3
% 3.39/1.25 % (3424783)Termination reason: Refutation
% 3.39/1.25 % (3424783)Time elapsed: 0.002 s
% 3.39/1.25 % (3424783)Peak memory usage: 88 MB
% 3.39/1.25 % (3424783)Instructions burned: 1 (million)
% 3.39/1.25 % (3424783)------------------------------
% 3.39/1.25 % (3424783)------------------------------
% 3.39/1.25 % (3424774)Success in time 0.423 s
% 3.39/1.25 % Vampire exiting
%------------------------------------------------------------------------------