%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM434+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:15:10 PM UTC 2026
% Result : Theorem 2.64s 1.33s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 24 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 23 ( 10 ~; 3 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 5 ( 2 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
( sdtasdt0(xp,xq) != sz00
& ? [X0] :
( aInteger0(X0)
& sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1003) ).
fof(f25,conjecture,
? [X0] :
( aInteger0(X0)
& sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f26,negated_conjecture,
~ ? [X0] :
( aInteger0(X0)
& sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb)) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f28,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f58,plain,
( sdtasdt0(xp,xq) != sz00
& aInteger0(sK0)
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),sK0)
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f24]) ).
fof(f72,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f73,plain,
aInteger0(sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f75,plain,
! [X0] :
( sdtasdt0(sdtasdt0(xp,xq),X0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f135,plain,
( sdtpldt0(xa,smndt0(xb)) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(sK0) ),
inference(superposition,[],[f75,f72]) ).
fof(f137,plain,
~ aInteger0(sK0),
inference(trivial_inequality_removal,[],[f135]) ).
fof(f139,plain,
$false,
inference(forward_subsumption_resolution,[],[f137,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM434+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 19:54:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.64/1.33 % (1267934)Detected formulas, will run a generic FOF schedule.
% 2.64/1.33 % (1267943)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3855423760:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.64/1.33 % (1267943)First to succeed.
% 2.64/1.33 % (1267943)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1267934"
% 2.64/1.33 % (1267940)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=1029220186:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.64/1.33 % (1267939)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=2447043068:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.64/1.33 % (1267942)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1486983840:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.64/1.33 % (1267941)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=2010793691:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.64/1.33 % (1267942)Also succeeded, but the first one will report.
% 2.64/1.33 % (1267945)dis-21_1_sil=8000:lcm=predicate:random_seed=2558534645: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)
% 2.64/1.33 % (1267945)Also succeeded, but the first one will report.
% 2.64/1.33 % (1267944)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=595923577:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.64/1.33 % (1267944)Also succeeded, but the first one will report.
% 2.64/1.33 % (1267943)Refutation found. Thanks to Tanya!
% 2.64/1.33 % SZS status Theorem for theBenchmark
% 2.64/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.33 % (1267943)------------------------------
% 2.64/1.33 % (1267943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.33 % (1267943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.33 % (1267943)CaDiCaL version: 2.1.3
% 2.64/1.33 % (1267943)Termination reason: Refutation
% 2.64/1.33 % (1267943)Time elapsed: 0.002 s
% 2.64/1.33 % (1267943)Peak memory usage: 88 MB
% 2.64/1.33 % (1267943)Instructions burned: 3 (million)
% 2.64/1.33 % (1267943)------------------------------
% 2.64/1.33 % (1267943)------------------------------
% 2.64/1.33 % (1267934)Success in time 0.286 s
% 2.64/1.33 % Vampire exiting
%------------------------------------------------------------------------------