%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM853+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:25:55 PM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 35 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vd486,vd488),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(307), 490, 0)') ).
fof(f2,negated_conjecture,
~ greater(vd486,vd488),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(307), 489, 0)') ).
fof(f4,axiom,
! [X0,X1,X2] :
( less(X1,X2)
=> less(vmul(X1,X0),vmul(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 0)') ).
fof(f19,axiom,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f21,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f22,axiom,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f39,plain,
~ greater(vd486,vd488),
inference(flattening,[],[f2]) ).
fof(f41,plain,
! [X0,X1,X2] :
( less(vmul(X1,X0),vmul(X2,X0))
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f62,plain,
~ greater(vd486,vd488),
inference(cnf_transformation,[],[f39]) ).
fof(f63,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(cnf_transformation,[],[f3]) ).
fof(f64,plain,
! [X2,X0,X1] :
( less(vmul(X1,X0),vmul(X2,X0))
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f79,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f81,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f82,plain,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f112,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f82]) ).
fof(f782,plain,
! [X2,X0,X1] :
( ~ greater(vmul(X0,X2),vmul(X1,X2))
| ~ less(X0,X1) ),
inference(resolution,[],[f64,f81]) ).
fof(f796,plain,
~ less(vd486,vd488),
inference(resolution,[],[f782,f63]) ).
fof(f811,plain,
( greater(vd486,vd488)
| vd486 = vd488 ),
inference(resolution,[],[f796,f79]) ).
fof(f812,plain,
vd486 = vd488,
inference(forward_subsumption_resolution,[],[f811,f62]) ).
fof(f985,plain,
greater(vmul(vd486,vd487),vmul(vd486,vd487)),
inference(superposition,[],[f63,f812]) ).
fof(f987,plain,
$false,
inference(forward_subsumption_resolution,[],[f985,f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM853+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n016.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 21:38:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49 % (3013747)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (3013752)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2040206766_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % (3013753)% WARNING: option uhcvi not known.
% 0.17/0.49 % TRYING [4]
% 0.17/0.49 % (3013753)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1551137583:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (3013754)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=631538724:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (3013755)dis+10_1_sil=32000:sp=arity:random_seed=1331219535:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (3013756)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=885930833:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (3013757)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=321316866:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (3013758)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2003764805:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % TRYING [5]
% 0.17/0.49 % (3013754) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3013747-3013754"...
% 0.17/0.49 % (3013754)...printing done.
% 0.17/0.49 % (3013755) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3013747-3013755"...
% 0.17/0.49 % (3013754)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (3013754)------------------------------
% 0.17/0.49 % (3013754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (3013754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (3013754)CaDiCaL version: 2.1.3
% 0.17/0.49 % (3013754)Termination reason: Refutation
% 0.17/0.49 % (3013754)Time elapsed: 0.017 s
% 0.17/0.49 % (3013754)Peak memory usage: 12 MB
% 0.17/0.49 % (3013754)Instructions burned: 23 (million)
% 0.17/0.49 % (3013747)Success in time 0.055 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------