%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV046+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 : n011.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 0.51s 0.38s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 21 unt; 0 def)
% Number of atoms : 74 ( 46 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 70 ( 24 ~; 14 |; 26 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 15 con; 0-3 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] : sum(n0,tptp_minus_1,X0) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
fof(f28,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(f29,axiom,
! [X0] : plus(X0,n1) = succ(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
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))
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> ( ( n0 != pv44
=> ( n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ) )
& ( n0 = pv44
=> true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0010) ).
fof(f54,negated_conjecture,
~ ( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> ( ( n0 != pv44
=> ( n0 = sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ) )
& ( n0 = pv44
=> true ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f142,plain,
( ( ( ( n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| ~ leq(n0,pv35)
| ~ leq(pv35,minus(n5,n1)) )
& n0 != pv44 )
| ( ~ true
& n0 = pv44 ) )
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f143,plain,
( ( ( ( n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| ~ leq(n0,pv35)
| ~ leq(pv35,minus(n5,n1)) )
& n0 != pv44 )
| ( ~ true
& n0 = pv44 ) )
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv80 = sum(n0,minus(n135300,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ),
inference(flattening,[],[f142]) ).
fof(f273,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f26]) ).
fof(f275,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f276,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f286,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f287,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f305,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f307,plain,
leq(pv35,minus(n5,n1)),
inference(cnf_transformation,[],[f143]) ).
fof(f308,plain,
leq(n0,pv35),
inference(cnf_transformation,[],[f143]) ).
fof(f310,plain,
pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),
inference(cnf_transformation,[],[f143]) ).
fof(f312,plain,
( n0 != pv44
| ~ true ),
inference(cnf_transformation,[],[f143]) ).
fof(f313,plain,
( n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| ~ leq(n0,pv35)
| ~ leq(pv35,minus(n5,n1))
| n0 = pv44 ),
inference(cnf_transformation,[],[f143]) ).
fof(f360,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f275,f276]) ).
fof(f370,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f287,f286,f276]) ).
fof(f383,plain,
( n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35))))
| n0 = pv44 ),
inference(global_subsumption,[],[f313,f310,f308,f307]) ).
fof(f385,plain,
n0 != sum(n0,minus(n0,n1),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))),
inference(global_subsumption,[],[f383,f305,f312]) ).
fof(f514,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f370,f360]) ).
fof(f517,plain,
n0 != sum(n0,tptp_minus_1,times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),times(minus(a_select2(x,pv83),a_select2(tptp_update2(mu,pv35,divide(pv80,pv44)),pv35)),a_select3(q,pv83,pv35)))),
inference(superposition,[],[f385,f514]) ).
fof(f518,plain,
$false,
inference(forward_subsumption_resolution,[],[f517,f273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV046+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.27 % Computer : n011.cluster.edu
% 0.24/0.27 % Model : x86_64 x86_64
% 0.24/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.27 % Memory : 8046.5625MB
% 0.24/0.27 % OS : Linux 6.8.0-71-generic
% 0.24/0.27 % CPULimit : 300
% 0.24/0.27 % WCLimit : 300
% 0.24/0.27 % DateTime : Mon Sep 28 09:47:45 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.31 Running first-order model finding
% 0.24/0.31 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
% 0.51/0.38 % (3286008)Will run a generic schedule for satisfiability detection.
% 0.51/0.38 % (3286013)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3890967074_2999 on theBenchmark for (2999ds/0Mi)
% 0.51/0.38 % (3286014)% WARNING: option uhcvi not known.
% 0.51/0.38 % (3286019)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2773425816:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.51/0.38 % (3286016)dis+10_1_sil=32000:sp=arity:random_seed=3179801878:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.51/0.38 % (3286015)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1685506580:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.51/0.38 % (3286014)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3406049242:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.51/0.38 % (3286017)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=518970662:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.51/0.38 % (3286018)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2292706506:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.51/0.38 % (3286015) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3286008-3286015"...
% 0.51/0.38 % (3286019) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3286008-3286019"...
% 0.51/0.38 % (3286014) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3286008-3286014"...
% 0.51/0.38 % (3286016) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3286008-3286016"...
% 0.51/0.38 % (3286019)...printing done.
% 0.51/0.38 % (3286015)...printing done.
% 0.51/0.38 % (3286014)...printing done.
% 0.51/0.38 % (3286016)...printing done.
% 0.51/0.38 % (3286015)Refutation found. Thanks to Tanya!
% 0.51/0.38 % SZS status Theorem for theBenchmark
% 0.51/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.38 % (3286015)------------------------------
% 0.51/0.38 % (3286015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.38 % (3286015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.38 % (3286015)CaDiCaL version: 2.1.3
% 0.51/0.38 % (3286015)Termination reason: Refutation
% 0.51/0.38 % (3286015)Time elapsed: 0.018 s
% 0.51/0.38 % (3286015)Peak memory usage: 12 MB
% 0.51/0.38 % (3286015)Instructions burned: 17 (million)
% 0.51/0.38 % (3286008)Success in time 0.059 s
% 0.51/0.38 % Vampire exiting
%------------------------------------------------------------------------------