%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW345+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 01:39:51 PM UTC 2026
% Result : Theorem 3.31s 1.07s
% Output : Refutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5206,axiom,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(v_c,X1,v_n,X2)
=> v_Q(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f5207,axiom,
! [X0,X1] :
( v_Q(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(v_d,X1,v_n,X2)
=> v_R(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(f5208,axiom,
v_P(v_Z,v_s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(f5209,axiom,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(f5210,axiom,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(f5211,conjecture,
v_R(v_Z,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(f5212,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(negated_conjecture,[status(cth)],[f5211]) ).
fof(f5233,plain,
~ v_R(v_Z,v_s_H),
inference(flattening,[],[f5212]) ).
fof(f9473,plain,
! [X0,X1] :
( ! [X2] :
( v_Q(X0,X2)
| ~ c_Natural_Oevaln(v_c,X1,v_n,X2) )
| ~ v_P(X0,X1) ),
inference(ennf_transformation,[],[f5206]) ).
fof(f9474,plain,
! [X0,X1] :
( ! [X2] :
( v_R(X0,X2)
| ~ c_Natural_Oevaln(v_d,X1,v_n,X2) )
| ~ v_Q(X0,X1) ),
inference(ennf_transformation,[],[f5207]) ).
fof(f18070,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
| v_Q(X0,X2)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f9473]) ).
fof(f18071,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_d,X1,v_n,X2)
| v_R(X0,X2)
| ~ v_Q(X0,X1) ),
inference(cnf_transformation,[],[f9474]) ).
fof(f18072,plain,
v_P(v_Z,v_s),
inference(cnf_transformation,[],[f5208]) ).
fof(f18073,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(cnf_transformation,[],[f5209]) ).
fof(f18074,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(cnf_transformation,[],[f5210]) ).
fof(f18075,plain,
~ v_R(v_Z,v_s_H),
inference(cnf_transformation,[],[f5233]) ).
fof(f19722,plain,
! [X0] :
( ~ v_P(X0,v_s)
| v_Q(X0,v_s1) ),
inference(resolution,[],[f18070,f18073]) ).
fof(f19752,plain,
v_Q(v_Z,v_s1),
inference(resolution,[],[f19722,f18072]) ).
fof(f19758,plain,
! [X0] :
( ~ v_Q(X0,v_s1)
| v_R(X0,v_s_H) ),
inference(resolution,[],[f18071,f18074]) ).
fof(f19770,plain,
v_R(v_Z,v_s_H),
inference(resolution,[],[f19758,f19752]) ).
fof(f19771,plain,
$false,
inference(forward_subsumption_resolution,[],[f19770,f18075]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW345+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 13:40:40 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 3.31/1.07 % (2256341)Will run a generic schedule for satisfiability detection.
% 3.31/1.07 % (2256356)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3537645611:i=88024:add=on:rawr=on_2996 on theBenchmark for (2996ds/88024Mi)
% 3.31/1.07 % (2256363)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=688335109:i=131_2996 on theBenchmark for (2996ds/131Mi)
% 3.31/1.07 % (2256355)% WARNING: option uhcvi not known.
% 3.31/1.07 % (2256354)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3061198056_2996 on theBenchmark for (2996ds/0Mi)
% 3.31/1.07 % (2256355)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2541171125:i=135531:add=off:rawr=on_2996 on theBenchmark for (2996ds/135531Mi)
% 3.31/1.07 % (2256361)dis+10_1_sil=32000:sp=arity:random_seed=2748774419:i=103:fgj=on_2996 on theBenchmark for (2996ds/103Mi)
% 3.31/1.07 % (2256362)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3561847521:i=116_2996 on theBenchmark for (2996ds/116Mi)
% 3.31/1.07 % (2256364)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1671026206:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2996 on theBenchmark for (2996ds/159Mi)
% 3.31/1.07 % (2256363)Instruction limit reached!
% 3.31/1.07 % (2256363)------------------------------
% 3.31/1.07 % (2256363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/1.07 % (2256363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.07 % (2256363)CaDiCaL version: 2.1.3
% 3.31/1.07 % (2256363)Termination reason: Instruction limit
% 3.31/1.07 % (2256363)Termination phase: Preprocessing 3
% 3.31/1.07 % (2256363)Time elapsed: 0.111 s
% 3.31/1.07 % (2256363)Peak memory usage: 20 MB
% 3.31/1.07 % (2256363)Instructions burned: 131 (million)
% 3.31/1.07 % (2256361)Instruction limit reached!
% 3.31/1.07 % (2256361)------------------------------
% 3.31/1.07 % (2256361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/1.07 % (2256361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.07 % (2256361)CaDiCaL version: 2.1.3
% 3.31/1.07 % (2256361)Termination reason: Instruction limit
% 3.31/1.07 % (2256361)Termination phase: Preprocessing 3
% 3.31/1.07 % (2256361)Time elapsed: 0.104 s
% 3.31/1.07 % (2256361)Peak memory usage: 20 MB
% 3.31/1.07 % (2256361)Instructions burned: 103 (million)
% 3.31/1.07 % (2256362)Instruction limit reached!
% 3.31/1.07 % (2256362)------------------------------
% 3.31/1.07 % (2256362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/1.07 % (2256362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.07 % (2256362)CaDiCaL version: 2.1.3
% 3.31/1.07 % (2256362)Termination reason: Instruction limit
% 3.31/1.07 % (2256362)Termination phase: NewCNF
% 3.31/1.07 % (2256362)Time elapsed: 0.118 s
% 3.31/1.07 % (2256362)Peak memory usage: 21 MB
% 3.31/1.07 % (2256362)Instructions burned: 116 (million)
% 3.31/1.07 % (2256376)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3183598175:i=714:nm=2_2994 on theBenchmark for (2994ds/714Mi)
% 3.31/1.07 % (2256377)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3476915712:i=131:bd=preordered:fsd=on_2994 on theBenchmark for (2994ds/131Mi)
% 3.31/1.07 % (2256378)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1184178708:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2994 on theBenchmark for (2994ds/684Mi)
% 3.31/1.07 % (2256364)Instruction limit reached!
% 3.31/1.07 % (2256364)------------------------------
% 3.31/1.07 % (2256364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/1.07 % (2256364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.07 % (2256364)CaDiCaL version: 2.1.3
% 3.31/1.07 % (2256364)Termination reason: Instruction limit
% 3.31/1.07 % (2256364)Termination phase: Property scanning
% 3.31/1.07 % (2256364)Time elapsed: 0.155 s
% 3.31/1.07 % (2256364)Peak memory usage: 21 MB
% 3.31/1.07 % (2256364)Instructions burned: 159 (million)
% 3.31/1.07 % (2256382)ott-21_1_sil=16000:fs=off:random_seed=21470384:i=180:av=off:fsr=off_2994 on theBenchmark for (2994ds/180Mi)
% 3.31/1.07 % (2256377)Instruction limit reached!
% 3.31/1.07 % (2256377)------------------------------
% 3.31/1.07 % (2256377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/1.07 % (2256377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.07 % (2256377)CaDiCaL version: 2.1.3
% 3.31/1.07 % (2256377)Termination reason: Instruction limit
% 3.31/1.07 % (2256377)Termination phase: Preprocessing 3
% 3.31/1.07 % (2256377)Time elapsed: 0.127 s
% 3.31/1.07 % (2256377)Peak memory usage: 20 MB
% 3.31/1.07 % (2256377)Instructions burned: 132 (million)
% 3.31/1.07 % (2256386)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2018284786:i=477:bd=all_2992 on theBenchmark for (2992ds/477Mi)
% 3.31/1.07 % (2256382)Instruction limit reached!
% 3.31/1.07 % (2256382)------------------------------
% 3.31/1.07 % (2256382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/1.07 % (2256382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.07 % (2256382)CaDiCaL version: 2.1.3
% 3.31/1.07 % (2256382)Termination reason: Instruction limit
% 3.31/1.07 % (2256382)Termination phase: Property scanning
% 3.31/1.07 % (2256382)Time elapsed: 0.152 s
% 3.31/1.07 % (2256382)Peak memory usage: 21 MB
% 3.31/1.07 % (2256382)Instructions burned: 180 (million)
% 3.31/1.07 % (2256356) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2256341-2256356"...
% 3.31/1.07 % (2256388)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=270748247:fmbsr=1.3:i=865:ins=25_2992 on theBenchmark for (2992ds/865Mi)
% 3.31/1.07 % (2256356)...printing done.
% 3.31/1.07 % (2256356)Refutation found. Thanks to Tanya!
% 3.31/1.07 % SZS status Theorem for theBenchmark
% 3.31/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 3.31/1.07 % (2256356)------------------------------
% 3.31/1.07 % (2256356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/1.07 % (2256356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.07 % (2256356)CaDiCaL version: 2.1.3
% 3.31/1.07 % (2256356)Termination reason: Refutation
% 3.31/1.07 % (2256356)Time elapsed: 0.385 s
% 3.31/1.07 % (2256356)Peak memory usage: 29 MB
% 3.31/1.07 % (2256356)Instructions burned: 874 (million)
% 3.31/1.07 % (2256341)Success in time 0.816 s
% 3.31/1.07 % Vampire exiting
%------------------------------------------------------------------------------