%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW344+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 2.48s 0.85s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 14 |; 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 : 26 ( 26 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f5208,axiom,
v_P(v_Z,v_s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
fof(f5209,axiom,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
fof(f5210,axiom,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(f5211,conjecture,
v_R(v_Z,v_s_H),
file('/export/starexec/sandbox2/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(f16436,plain,
! [X2,X0,X1] :
( ~ v_P(X0,X1)
| ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
| v_Q(X0,X2) ),
inference(cnf_transformation,[],[f9473]) ).
fof(f16437,plain,
! [X2,X0,X1] :
( ~ v_Q(X0,X1)
| ~ c_Natural_Oevaln(v_d,X1,v_n,X2)
| v_R(X0,X2) ),
inference(cnf_transformation,[],[f9474]) ).
fof(f16438,plain,
v_P(v_Z,v_s),
inference(cnf_transformation,[],[f5208]) ).
fof(f16439,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(cnf_transformation,[],[f5209]) ).
fof(f16440,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(cnf_transformation,[],[f5210]) ).
fof(f16441,plain,
~ v_R(v_Z,v_s_H),
inference(cnf_transformation,[],[f5233]) ).
fof(f19210,plain,
! [X2,X0,X1] :
( ~ v_Q(X0,X2)
| c_Natural_Oevaln(v_c,X1,v_n,X2)
| v_P(X0,X1) ),
inference(consistent_polarity_flipping,[],[f16436]) ).
fof(f19211,plain,
! [X2,X0,X1] :
( ~ v_R(X0,X2)
| c_Natural_Oevaln(v_d,X1,v_n,X2)
| v_Q(X0,X1) ),
inference(consistent_polarity_flipping,[],[f16437]) ).
fof(f19212,plain,
~ v_P(v_Z,v_s),
inference(consistent_polarity_flipping,[],[f16438]) ).
fof(f19213,plain,
~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(consistent_polarity_flipping,[],[f16439]) ).
fof(f19214,plain,
~ c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(consistent_polarity_flipping,[],[f16440]) ).
fof(f19215,plain,
v_R(v_Z,v_s_H),
inference(consistent_polarity_flipping,[],[f16441]) ).
fof(f20460,plain,
! [X0] :
( c_Natural_Oevaln(v_d,X0,v_n,v_s_H)
| v_Q(v_Z,X0) ),
inference(resolution,[],[f19211,f19215]) ).
fof(f20463,plain,
v_Q(v_Z,v_s1),
inference(resolution,[],[f20460,f19214]) ).
fof(f20466,plain,
! [X0] :
( c_Natural_Oevaln(v_c,X0,v_n,v_s1)
| v_P(v_Z,X0) ),
inference(resolution,[],[f20463,f19210]) ).
fof(f20467,plain,
v_P(v_Z,v_s),
inference(resolution,[],[f20466,f19213]) ).
fof(f20468,plain,
$false,
inference(forward_subsumption_resolution,[],[f20467,f19212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW344+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n005.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 13:39:02 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.25 Running first-order model finding
% 0.09/0.25 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
% 2.48/0.85 % (787063)Will run a generic schedule for satisfiability detection.
% 2.48/0.85 % (787070)% WARNING: option uhcvi not known.
% 2.48/0.85 % (787075)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3490222574:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 2.48/0.85 % (787071)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3294702103:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 2.48/0.85 % (787069)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4006656232_2998 on theBenchmark for (2998ds/0Mi)
% 2.48/0.85 % (787072)dis+10_1_sil=32000:sp=arity:random_seed=292033084:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 2.48/0.85 % (787073)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3531595290:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 2.48/0.85 % (787070)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=371471514:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 2.48/0.85 % (787074)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3249802480:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 2.48/0.85 % (787075)Instruction limit reached!
% 2.48/0.85 % (787075)------------------------------
% 2.48/0.85 % (787075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.85 % (787075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.85 % (787075)CaDiCaL version: 2.1.3
% 2.48/0.85 % (787075)Termination reason: Instruction limit
% 2.48/0.85 % (787075)Termination phase: Property scanning
% 2.48/0.85 % (787075)Time elapsed: 0.054 s
% 2.48/0.85 % (787075)Peak memory usage: 21 MB
% 2.48/0.85 % (787075)Instructions burned: 159 (million)
% 2.48/0.85 % (787083)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2980611261:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 2.48/0.85 % (787072)Instruction limit reached!
% 2.48/0.85 % (787072)------------------------------
% 2.48/0.85 % (787072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.85 % (787072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.85 % (787072)CaDiCaL version: 2.1.3
% 2.48/0.85 % (787072)Termination reason: Instruction limit
% 2.48/0.85 % (787072)Termination phase: Preprocessing 3
% 2.48/0.85 % (787072)Time elapsed: 0.064 s
% 2.48/0.85 % (787072)Peak memory usage: 20 MB
% 2.48/0.85 % (787072)Instructions burned: 103 (million)
% 2.48/0.85 % (787073)Instruction limit reached!
% 2.48/0.85 % (787073)------------------------------
% 2.48/0.85 % (787073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.85 % (787073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.85 % (787073)CaDiCaL version: 2.1.3
% 2.48/0.85 % (787073)Termination reason: Instruction limit
% 2.48/0.85 % (787073)Termination phase: NewCNF
% 2.48/0.85 % (787073)Time elapsed: 0.074 s
% 2.48/0.85 % (787073)Peak memory usage: 21 MB
% 2.48/0.85 % (787073)Instructions burned: 116 (million)
% 2.48/0.85 % (787074)Instruction limit reached!
% 2.48/0.85 % (787074)------------------------------
% 2.48/0.85 % (787074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.85 % (787074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.85 % (787074)CaDiCaL version: 2.1.3
% 2.48/0.85 % (787074)Termination reason: Instruction limit
% 2.48/0.85 % (787074)Termination phase: Preprocessing 3
% 2.48/0.85 % (787074)Time elapsed: 0.079 s
% 2.48/0.85 % (787074)Peak memory usage: 20 MB
% 2.48/0.85 % (787074)Instructions burned: 131 (million)
% 2.48/0.85 % (787085)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1372308739:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 2.48/0.85 % (787086)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=787901681:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 2.48/0.85 % (787087)ott-21_1_sil=16000:fs=off:random_seed=3977397322:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 2.48/0.85 % (787085)Instruction limit reached!
% 2.48/0.85 % (787085)------------------------------
% 2.48/0.85 % (787085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.85 % (787085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.85 % (787085)CaDiCaL version: 2.1.3
% 2.48/0.85 % (787085)Termination reason: Instruction limit
% 2.48/0.85 % (787085)Termination phase: Preprocessing 3
% 2.48/0.85 % (787085)Time elapsed: 0.079 s
% 2.48/0.85 % (787085)Peak memory usage: 20 MB
% 2.48/0.85 % (787085)Instructions burned: 133 (million)
% 2.48/0.85 % (787091)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=174254192:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 2.48/0.85 % (787087)Instruction limit reached!
% 2.48/0.85 % (787087)------------------------------
% 2.48/0.85 % (787087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.85 % (787087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.85 % (787087)CaDiCaL version: 2.1.3
% 2.48/0.85 % (787087)Termination reason: Instruction limit
% 2.48/0.85 % (787087)Termination phase: Property scanning
% 2.48/0.85 % (787087)Time elapsed: 0.103 s
% 2.48/0.85 % (787087)Peak memory usage: 21 MB
% 2.48/0.85 % (787087)Instructions burned: 181 (million)
% 2.48/0.85 % (787093)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2923599660:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 2.48/0.85 % (787083)Instruction limit reached!
% 2.48/0.85 % (787083)------------------------------
% 2.48/0.85 % (787083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.85 % (787083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.85 % (787083)CaDiCaL version: 2.1.3
% 2.48/0.85 % (787083)Termination reason: Instruction limit
% 2.48/0.85 % (787083)Termination phase: Finite model building preprocessing
% 2.48/0.85 % (787083)Time elapsed: 0.180 s
% 2.48/0.85 % (787083)Peak memory usage: 25 MB
% 2.48/0.85 % (787083)Instructions burned: 720 (million)
% 2.48/0.85 % (787095)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3456808504:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.48/0.85 % (787070) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-787063-787070"...
% 2.48/0.85 % (787070)...printing done.
% 2.48/0.85 % (787070)Refutation found. Thanks to Tanya!
% 2.48/0.85 % SZS status Theorem for theBenchmark
% 2.48/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.85 % (787070)------------------------------
% 2.48/0.85 % (787070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.85 % (787070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.85 % (787070)CaDiCaL version: 2.1.3
% 2.48/0.85 % (787070)Termination reason: Refutation
% 2.48/0.85 % (787070)Time elapsed: 0.392 s
% 2.48/0.85 % (787070)Peak memory usage: 26 MB
% 2.48/0.85 % (787070)Instructions burned: 793 (million)
% 2.48/0.85 % (787063)Success in time 0.588 s
% 2.48/0.85 % Vampire exiting
%------------------------------------------------------------------------------