%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV174+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 01:20:23 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 135 ( 26 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 159 ( 49 ~; 42 |; 55 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-3 aty)
% Number of variables : 44 ( 38 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f53,conjecture,
( ( leq(n0,pv10)
& leq(pv10,n135299)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,pred(pv10)) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> a_select3(q_init,X0,X1) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> a_select3(center_init,X2,n0) = init ) )
=> ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n135299)
& leq(X4,n4) )
=> ( gt(pv10,X3)
=> a_select3(q_init,X3,X4) = init ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0046) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(pv10,n135299)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,pred(pv10)) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> a_select3(q_init,X0,X1) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> a_select3(center_init,X2,n0) = init ) )
=> ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n135299)
& leq(X4,n4) )
=> ( gt(pv10,X3)
=> a_select3(q_init,X3,X4) = init ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ? [X3,X4] :
( init != a_select3(q_init,X3,X4)
& gt(pv10,X3)
& leq(n0,X3)
& leq(n0,X4)
& leq(X3,n135299)
& leq(X4,n4) )
& leq(n0,pv10)
& leq(pv10,n135299)
& ! [X0] :
( ! [X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv10)) )
& ! [X2] :
( a_select3(center_init,X2,n0) = init
| ~ leq(n0,X2)
| ~ leq(X2,n4) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ? [X3,X4] :
( init != a_select3(q_init,X3,X4)
& gt(pv10,X3)
& leq(n0,X3)
& leq(n0,X4)
& leq(X3,n135299)
& leq(X4,n4) )
& leq(n0,pv10)
& leq(pv10,n135299)
& ! [X0] :
( ! [X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv10)) )
& ! [X2] :
( a_select3(center_init,X2,n0) = init
| ~ leq(n0,X2)
| ~ leq(X2,n4) ) ),
inference(flattening,[],[f143]) ).
fof(f164,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f197,plain,
( ? [X0,X1] :
( a_select3(q_init,X0,X1) != init
& gt(pv10,X0)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n135299)
& leq(X1,n4) )
& leq(n0,pv10)
& leq(pv10,n135299)
& ! [X2] :
( ! [X3] :
( init = a_select3(q_init,X2,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
| ~ leq(n0,X2)
| ~ leq(X2,pred(pv10)) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(n0,X4)
| ~ leq(X4,n4) ) ),
inference(rectify,[],[f144]) ).
fof(f198,plain,
( init != a_select3(q_init,sK31,sK32)
& gt(pv10,sK31)
& leq(n0,sK31)
& leq(n0,sK32)
& leq(sK31,n135299)
& leq(sK32,n4)
& leq(n0,pv10)
& leq(pv10,n135299)
& ! [X2] :
( ! [X3] :
( init = a_select3(q_init,X2,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
| ~ leq(n0,X2)
| ~ leq(X2,pred(pv10)) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(n0,X4)
| ~ leq(X4,n4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f197]) ).
fof(f207,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f289,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f310,plain,
! [X2,X3] :
( init = a_select3(q_init,X2,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X2)
| ~ leq(X2,pred(pv10)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f313,plain,
leq(sK32,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f315,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f198]) ).
fof(f316,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f198]) ).
fof(f317,plain,
gt(pv10,sK31),
inference(cnf_transformation,[],[f198]) ).
fof(f318,plain,
init != a_select3(q_init,sK31,sK32),
inference(cnf_transformation,[],[f198]) ).
fof(f358,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f207,f289]) ).
fof(f379,plain,
! [X2,X3] :
( ~ leq(n0,X3)
| init = a_select3(q_init,X2,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X2)
| ~ leq(X2,minus(pv10,n1)) ),
inference(definition_unfolding,[],[f310,f289]) ).
fof(f525,plain,
! [X0] :
( init = a_select3(q_init,X0,sK32)
| ~ leq(sK32,n4)
| ~ leq(n0,X0)
| ~ leq(X0,minus(pv10,n1)) ),
inference(resolution,[],[f379,f315]) ).
fof(f528,plain,
! [X0] :
( ~ leq(n0,X0)
| init = a_select3(q_init,X0,sK32)
| ~ leq(X0,minus(pv10,n1)) ),
inference(forward_subsumption_resolution,[],[f525,f313]) ).
fof(f549,plain,
( init = a_select3(q_init,sK31,sK32)
| ~ leq(sK31,minus(pv10,n1)) ),
inference(resolution,[],[f528,f316]) ).
fof(f560,plain,
~ leq(sK31,minus(pv10,n1)),
inference(forward_subsumption_resolution,[],[f549,f318]) ).
fof(f802,plain,
leq(sK31,minus(pv10,n1)),
inference(resolution,[],[f358,f317]) ).
fof(f812,plain,
$false,
inference(forward_subsumption_resolution,[],[f802,f560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV174+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:03:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.27 % (3446734)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3446744)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4007048304:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (3446740)% WARNING: option uhcvi not known.
% 0.20/0.27 % (3446739)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=531460143_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (3446741)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3197681682:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (3446740)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1823815738:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (3446742)dis+10_1_sil=32000:sp=arity:random_seed=3291654058:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (3446743)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3179475700:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (3446745)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3845044364:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (3446744) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3446734-3446744"...
% 0.20/0.27 % (3446744)...printing done.
% 0.20/0.27 % (3446744)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3446744)------------------------------
% 0.20/0.27 % (3446744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3446744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3446744)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3446744)Termination reason: Refutation
% 0.20/0.27 % (3446744)Time elapsed: 0.010 s
% 0.20/0.27 % (3446744)Peak memory usage: 12 MB
% 0.20/0.27 % (3446744)Instructions burned: 31 (million)
% 0.20/0.27 % (3446734)Success in time 0.036 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------