%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM548+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:15:41 PM UTC 2026
% Result : Theorem 2.55s 1.32s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 41 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 37 ( 14 ~; 10 |; 9 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
fof(f65,axiom,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
fof(f66,conjecture,
isFinite0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f67,negated_conjecture,
~ isFinite0(xQ),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f69,plain,
~ isFinite0(xQ),
inference(flattening,[],[f67]) ).
fof(f79,plain,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f99,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f138,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f144,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f177,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f79]) ).
fof(f180,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f79]) ).
fof(f181,plain,
~ isFinite0(xQ),
inference(cnf_transformation,[],[f69]) ).
fof(f206,plain,
! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f253,plain,
( ~ aElementOf0(xk,szNzAzT0)
| isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(superposition,[],[f206,f177]) ).
fof(f255,plain,
( isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(forward_subsumption_resolution,[],[f253,f144]) ).
fof(f256,plain,
~ aSet0(xQ),
inference(forward_subsumption_resolution,[],[f255,f181]) ).
fof(f257,plain,
$false,
inference(forward_subsumption_resolution,[],[f256,f180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM548+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 20:22:21 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 2.55/1.32 % (2913568)Detected formulas, will run a generic FOF schedule.
% 2.55/1.32 % (2913577)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=406446247:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.55/1.32 % (2913577)First to succeed.
% 2.55/1.32 % (2913577)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2913568"
% 2.55/1.32 % (2913574)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=4089915900:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.55/1.32 % (2913578)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3071964652:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.55/1.32 % (2913576)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1647593487:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.55/1.32 % (2913575)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=2561697697:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.55/1.32 % (2913579)dis-21_1_sil=8000:lcm=predicate:random_seed=1464337665: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)
% 2.55/1.32 % (2913573)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=3726990911:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.55/1.32 % (2913576)Also succeeded, but the first one will report.
% 2.55/1.32 % (2913578)Also succeeded, but the first one will report.
% 2.55/1.32 % (2913579)Instruction limit reached!
% 2.55/1.32 % (2913579)------------------------------
% 2.55/1.32 % (2913579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.32 % (2913579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.32 % (2913579)CaDiCaL version: 2.1.3
% 2.55/1.32 % (2913579)Termination reason: Instruction limit
% 2.55/1.32 % (2913579)Termination phase: Saturation
% 2.55/1.32 % (2913579)Time elapsed: 0.061 s
% 2.55/1.32 % (2913579)Peak memory usage: 88 MB
% 2.55/1.32 % (2913579)Instructions burned: 130 (million)
% 2.55/1.32 % (2913577)Refutation found. Thanks to Tanya!
% 2.55/1.32 % SZS status Theorem for theBenchmark
% 2.55/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/1.33 % (2913577)------------------------------
% 2.55/1.33 % (2913577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.33 % (2913577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.33 % (2913577)CaDiCaL version: 2.1.3
% 2.55/1.33 % (2913577)Termination reason: Refutation
% 2.55/1.33 % (2913577)Time elapsed: 0.002 s
% 2.55/1.33 % (2913577)Peak memory usage: 88 MB
% 2.55/1.33 % (2913577)Instructions burned: 4 (million)
% 2.55/1.33 % (2913577)------------------------------
% 2.55/1.33 % (2913577)------------------------------
% 2.55/1.33 % (2913568)Success in time 0.273 s
% 2.55/1.33 % Vampire exiting
%------------------------------------------------------------------------------