%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM850+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 : n020.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 0.13s 0.45s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 31 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 9 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 21 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] : vd470 = vplus(vd471,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(conseq_conjunct1(conseq(302)))') ).
fof(f2,negated_conjecture,
~ ? [X0] : vd470 = vplus(vd471,X0),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
greater(vd470,vd471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(302), 472, 0)') ).
fof(f30,axiom,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f35,axiom,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : X0 = vplus(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof(f53,plain,
! [X0] : vd470 != vplus(vd471,X0),
inference(ennf_transformation,[],[f2]) ).
fof(f74,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f86,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X2] : X0 = vplus(X1,X2)
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f87,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X3] : vplus(X1,X3) = X0
| ~ less(X1,X0) ) ),
inference(rectify,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( vplus(X1,sK0(X0,X1)) = X0
| ~ less(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f87]) ).
fof(f93,plain,
! [X0] : vd470 != vplus(vd471,X0),
inference(cnf_transformation,[],[f53]) ).
fof(f94,plain,
greater(vd470,vd471),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f133,plain,
! [X0,X1] :
( ~ less(X1,X0)
| vplus(X1,sK0(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f88]) ).
fof(f180,plain,
less(vd471,vd470),
inference(resolution,[],[f128,f94]) ).
fof(f340,plain,
vd470 = vplus(vd471,sK0(vd470,vd471)),
inference(resolution,[],[f133,f180]) ).
fof(f342,plain,
$false,
inference(forward_subsumption_resolution,[],[f340,f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM850+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 21:31:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 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
% 0.13/0.45 % (3774484)Will run a generic schedule for satisfiability detection.
% 0.13/0.45 % (3774489)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3586922368_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.45 % TRYING [1]
% 0.13/0.45 % TRYING [2]
% 0.13/0.45 % TRYING [3]
% 0.13/0.45 % (3774490)% WARNING: option uhcvi not known.
% 0.13/0.45 % TRYING [4]
% 0.13/0.45 % (3774491)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=627291372:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.45 % (3774490)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4204997441:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.45 % (3774492)dis+10_1_sil=32000:sp=arity:random_seed=3640874025:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.45 % (3774493)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3439613296:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.45 % (3774494)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=414216619:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.45 % (3774495)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=381460288:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.45 % (3774492) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3774484-3774492"...
% 0.13/0.45 % (3774490) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3774484-3774490"...
% 0.13/0.45 % (3774492)...printing done.
% 0.13/0.45 % (3774490)...printing done.
% 0.13/0.45 % (3774492)Refutation found. Thanks to Tanya!
% 0.13/0.45 % SZS status Theorem for theBenchmark
% 0.13/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.45 % (3774492)------------------------------
% 0.13/0.45 % (3774492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45 % (3774492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45 % (3774492)CaDiCaL version: 2.1.3
% 0.13/0.45 % (3774492)Termination reason: Refutation
% 0.13/0.45 % (3774492)Time elapsed: 0.006 s
% 0.13/0.45 % (3774492)Peak memory usage: 12 MB
% 0.13/0.45 % (3774492)Instructions burned: 8 (million)
% 0.13/0.45 % (3774484)Success in time 0.039 s
% 0.13/0.45 % Vampire exiting
%------------------------------------------------------------------------------