%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV047+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 01:20:04 PM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 24 ( 8 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 20 ( 4 ~; 0 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-3 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(f53,conjecture,
( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0013) ).
fof(f54,negated_conjecture,
~ ( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> true ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f142,plain,
( ~ true
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f143,plain,
( ~ true
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ),
inference(flattening,[],[f142]) ).
fof(f305,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f311,plain,
~ true,
inference(cnf_transformation,[],[f143]) ).
fof(f396,plain,
$false,
inference(forward_subsumption_resolution,[],[f305,f311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV047+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 % Computer : n003.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 09:49:27 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25 Running first-order model finding
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.29 % (1477603)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (1477613)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1085867441:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (1477613) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1477603-1477613"...
% 0.20/0.29 % (1477609)% WARNING: option uhcvi not known.
% 0.20/0.29 % (1477613)...printing done.
% 0.20/0.29 % (1477613)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (1477613)------------------------------
% 0.20/0.29 % (1477613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1477613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1477613)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1477613)Termination reason: Refutation
% 0.20/0.29 % (1477613)Time elapsed: 0.002 s
% 0.20/0.29 % (1477613)Peak memory usage: 11 MB
% 0.20/0.29 % (1477613)Instructions burned: 8 (million)
% 0.20/0.29 % (1477603)Success in time 0.033 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------