%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM837+1 : 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 : 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 12:25:51 PM UTC 2026
% Result : Theorem 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 24 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 7 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 15 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] : vd269 = vplus(vd268,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(171)') ).
fof(f2,negated_conjecture,
~ ? [X0] : vd269 = vplus(vd268,X0),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
less(vd268,vd269),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(170), 270, 0)') ).
fof(f15,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(f33,plain,
! [X0] : vd269 != vplus(vd268,X0),
inference(ennf_transformation,[],[f2]) ).
fof(f49,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X2] : X0 = vplus(X1,X2)
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f50,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X3] : vplus(X1,X3) = X0
| ~ less(X1,X0) ) ),
inference(rectify,[],[f49]) ).
fof(f51,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))],[f50]) ).
fof(f56,plain,
! [X0] : vd269 != vplus(vd268,X0),
inference(cnf_transformation,[],[f33]) ).
fof(f58,plain,
less(vd268,vd269),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
! [X0,X1] :
( ~ less(X1,X0)
| vplus(X1,sK0(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f51]) ).
fof(f167,plain,
vd269 = vplus(vd268,sK0(vd269,vd268)),
inference(resolution,[],[f73,f58]) ).
fof(f169,plain,
$false,
inference(forward_subsumption_resolution,[],[f167,f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM837+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 % Computer : n010.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 21:29:16 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48 Running first-order model finding
% 0.22/0.48 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
% 0.22/0.52 % (1323342)Will run a generic schedule for satisfiability detection.
% 0.22/0.52 % (1323350)dis+10_1_sil=32000:sp=arity:random_seed=2660632743:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.52 % (1323350) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1323342-1323350"...
% 0.22/0.52 % (1323350)...printing done.
% 0.22/0.52 % (1323349)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3175010887:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.52 % (1323350)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Theorem for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52 % (1323350)------------------------------
% 0.22/0.52 % (1323350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.52 % (1323350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.52 % (1323350)CaDiCaL version: 2.1.3
% 0.22/0.52 % (1323350)Termination reason: Refutation
% 0.22/0.52 % (1323350)Time elapsed: 0.003 s
% 0.22/0.52 % (1323350)Peak memory usage: 11 MB
% 0.22/0.52 % (1323350)Instructions burned: 3 (million)
% 0.22/0.52 % (1323342)Success in time 0.028 s
% 0.22/0.52 % Vampire exiting
%------------------------------------------------------------------------------