%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW342+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 : n009.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 1.37s 0.99s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 26 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 3 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 21 ( 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X1,X0)
=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln__elim__cases_I1_J) ).
fof(f5206,conjecture,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,v_n,X2)
=> v_P(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5207,negated_conjecture,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,v_n,X2)
=> v_P(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f5206]) ).
fof(f5412,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9453,plain,
? [X0,X1] :
( ? [X2] :
( ~ v_P(X0,X2)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,v_n,X2) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5207]) ).
fof(f9456,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f5412]) ).
fof(f16423,plain,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK496,v_n,sK497),
inference(cnf_transformation,[],[f9453]) ).
fof(f16424,plain,
~ v_P(sK495,sK497),
inference(cnf_transformation,[],[f9453]) ).
fof(f16425,plain,
v_P(sK495,sK496),
inference(cnf_transformation,[],[f9453]) ).
fof(f17856,plain,
! [X2,X0,X1] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X1,X0)
| X0 = X2 ),
inference(consistent_polarity_flipping,[],[f9456]) ).
fof(f19589,plain,
~ v_P(sK495,sK496),
inference(consistent_polarity_flipping,[],[f16425]) ).
fof(f19590,plain,
v_P(sK495,sK497),
inference(consistent_polarity_flipping,[],[f16424]) ).
fof(f19591,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK496,v_n,sK497),
inference(consistent_polarity_flipping,[],[f16423]) ).
fof(f19715,plain,
sK496 = sK497,
inference(resolution,[],[f17856,f19591]) ).
fof(f19718,plain,
v_P(sK495,sK496),
inference(superposition,[],[f19590,f19715]) ).
fof(f19719,plain,
$false,
inference(forward_subsumption_resolution,[],[f19718,f19589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW342+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n009.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 13:39:53 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 1.37/0.99 % (3030360)Will run a generic schedule for satisfiability detection.
% 1.37/0.99 % (3030369)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2578140829:i=116_2996 on theBenchmark for (2996ds/116Mi)
% 1.37/0.99 % (3030366)% WARNING: option uhcvi not known.
% 1.37/0.99 % (3030365)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2630675062_2996 on theBenchmark for (2996ds/0Mi)
% 1.37/0.99 % (3030366)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=217745184:i=135531:add=off:rawr=on_2996 on theBenchmark for (2996ds/135531Mi)
% 1.37/0.99 % (3030367)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1150237481:i=88024:add=on:rawr=on_2996 on theBenchmark for (2996ds/88024Mi)
% 1.37/0.99 % (3030368)dis+10_1_sil=32000:sp=arity:random_seed=1448772496:i=103:fgj=on_2996 on theBenchmark for (2996ds/103Mi)
% 1.37/0.99 % (3030370)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=862470967:i=131_2996 on theBenchmark for (2996ds/131Mi)
% 1.37/0.99 % (3030371)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4190362628:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2996 on theBenchmark for (2996ds/159Mi)
% 1.37/0.99 % (3030369)Instruction limit reached!
% 1.37/0.99 % (3030369)------------------------------
% 1.37/0.99 % (3030369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.99 % (3030369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.99 % (3030369)CaDiCaL version: 2.1.3
% 1.37/0.99 % (3030369)Termination reason: Instruction limit
% 1.37/0.99 % (3030369)Termination phase: NewCNF
% 1.37/0.99 % (3030369)Time elapsed: 0.045 s
% 1.37/0.99 % (3030369)Peak memory usage: 21 MB
% 1.37/0.99 % (3030369)Instructions burned: 119 (million)
% 1.37/0.99 % (3030379)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1958447974:i=714:nm=2_2995 on theBenchmark for (2995ds/714Mi)
% 1.37/0.99 % (3030368)Instruction limit reached!
% 1.37/0.99 % (3030368)------------------------------
% 1.37/0.99 % (3030368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.99 % (3030368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.99 % (3030368)CaDiCaL version: 2.1.3
% 1.37/0.99 % (3030368)Termination reason: Instruction limit
% 1.37/0.99 % (3030368)Termination phase: Preprocessing 3
% 1.37/0.99 % (3030368)Time elapsed: 0.065 s
% 1.37/0.99 % (3030368)Peak memory usage: 20 MB
% 1.37/0.99 % (3030368)Instructions burned: 103 (million)
% 1.37/0.99 % (3030370)Instruction limit reached!
% 1.37/0.99 % (3030370)------------------------------
% 1.37/0.99 % (3030370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.99 % (3030370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.99 % (3030370)CaDiCaL version: 2.1.3
% 1.37/0.99 % (3030370)Termination reason: Instruction limit
% 1.37/0.99 % (3030370)Termination phase: Preprocessing 3
% 1.37/0.99 % (3030370)Time elapsed: 0.081 s
% 1.37/0.99 % (3030370)Peak memory usage: 20 MB
% 1.37/0.99 % (3030370)Instructions burned: 133 (million)
% 1.37/0.99 % (3030381)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=91628388:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 1.37/0.99 % (3030371)Instruction limit reached!
% 1.37/0.99 % (3030371)------------------------------
% 1.37/0.99 % (3030371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.99 % (3030371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.99 % (3030371)CaDiCaL version: 2.1.3
% 1.37/0.99 % (3030371)Termination reason: Instruction limit
% 1.37/0.99 % (3030371)Termination phase: Property scanning
% 1.37/0.99 % (3030371)Time elapsed: 0.098 s
% 1.37/0.99 % (3030371)Peak memory usage: 21 MB
% 1.37/0.99 % (3030371)Instructions burned: 159 (million)
% 1.37/0.99 % (3030382)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=3563158058:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 1.37/0.99 % (3030384)ott-21_1_sil=16000:fs=off:random_seed=4016191725:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 1.37/0.99 % (3030381)Instruction limit reached!
% 1.37/0.99 % (3030381)------------------------------
% 1.37/0.99 % (3030381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.99 % (3030381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.99 % (3030381)CaDiCaL version: 2.1.3
% 1.37/0.99 % (3030381)Termination reason: Instruction limit
% 1.37/0.99 % (3030381)Termination phase: Preprocessing 3
% 1.37/0.99 % (3030381)Time elapsed: 0.079 s
% 1.37/0.99 % (3030381)Peak memory usage: 20 MB
% 1.37/0.99 % (3030381)Instructions burned: 131 (million)
% 1.37/0.99 % (3030387)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1053290443:i=477:bd=all_2994 on theBenchmark for (2994ds/477Mi)
% 1.37/0.99 % (3030384)Instruction limit reached!
% 1.37/0.99 % (3030384)------------------------------
% 1.37/0.99 % (3030384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.99 % (3030384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.99 % (3030384)CaDiCaL version: 2.1.3
% 1.37/0.99 % (3030384)Termination reason: Instruction limit
% 1.37/0.99 % (3030384)Termination phase: Property scanning
% 1.37/0.99 % (3030384)Time elapsed: 0.104 s
% 1.37/0.99 % (3030384)Peak memory usage: 22 MB
% 1.37/0.99 % (3030384)Instructions burned: 182 (million)
% 1.37/0.99 % (3030379)Instruction limit reached!
% 1.37/0.99 % (3030379)------------------------------
% 1.37/0.99 % (3030379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.99 % (3030379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.99 % (3030379)CaDiCaL version: 2.1.3
% 1.37/0.99 % (3030379)Termination reason: Instruction limit
% 1.37/0.99 % (3030379)Termination phase: Finite model building preprocessing
% 1.37/0.99 % (3030379)Time elapsed: 0.178 s
% 1.37/0.99 % (3030379)Peak memory usage: 25 MB
% 1.37/0.99 % (3030379)Instructions burned: 714 (million)
% 1.37/0.99 % (3030390)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=146628690:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 1.37/0.99 % (3030389)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3687248503:fmbsr=1.3:i=865:ins=25_2993 on theBenchmark for (2993ds/865Mi)
% 1.37/0.99 % (3030366) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3030360-3030366"...
% 1.37/0.99 % (3030366)...printing done.
% 1.37/0.99 % (3030366)Refutation found. Thanks to Tanya!
% 1.37/0.99 % SZS status Theorem for theBenchmark
% 1.37/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.99 % (3030366)------------------------------
% 1.37/0.99 % (3030366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.99 % (3030366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.99 % (3030366)CaDiCaL version: 2.1.3
% 1.37/0.99 % (3030366)Termination reason: Refutation
% 1.37/0.99 % (3030366)Time elapsed: 0.346 s
% 1.37/0.99 % (3030366)Peak memory usage: 25 MB
% 1.37/0.99 % (3030366)Instructions burned: 720 (million)
% 1.37/0.99 % (3030360)Success in time 0.748 s
% 1.37/0.99 % Vampire exiting
%------------------------------------------------------------------------------