%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW300+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 : n014.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 01:39:47 PM UTC 2026
% Result : Theorem 1.35s 0.99s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 24 ( 9 ~; 6 |; 2 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 22 ( 19 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5241,axiom,
! [X0,X1] :
( v_P(X0,X1)
=> v_P_H(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5242,conjecture,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( ! [X3] :
( v_P_H(X3,X1)
=> v_Q(X3,X2) )
=> v_Q(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5243,negated_conjecture,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( ! [X3] :
( v_P_H(X3,X1)
=> v_Q(X3,X2) )
=> v_Q(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f5242]) ).
fof(f9578,plain,
! [X0,X1] :
( v_P_H(X0,X1)
| ~ v_P(X0,X1) ),
inference(ennf_transformation,[],[f5241]) ).
fof(f9579,plain,
? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& ! [X3] :
( v_Q(X3,X2)
| ~ v_P_H(X3,X1) ) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5243]) ).
fof(f16690,plain,
! [X0,X1] :
( ~ v_P(X0,X1)
| v_P_H(X0,X1) ),
inference(cnf_transformation,[],[f9578]) ).
fof(f16691,plain,
! [X3] :
( ~ v_P_H(X3,sK583)
| v_Q(X3,sK584) ),
inference(cnf_transformation,[],[f9579]) ).
fof(f16692,plain,
~ v_Q(sK582,sK584),
inference(cnf_transformation,[],[f9579]) ).
fof(f16693,plain,
v_P(sK582,sK583),
inference(cnf_transformation,[],[f9579]) ).
fof(f23233,plain,
! [X0,X1] :
( ~ v_P_H(X0,X1)
| v_P(X0,X1) ),
inference(consistent_polarity_flipping,[],[f16690]) ).
fof(f23234,plain,
~ v_P(sK582,sK583),
inference(consistent_polarity_flipping,[],[f16693]) ).
fof(f23235,plain,
! [X3] :
( v_Q(X3,sK584)
| v_P_H(X3,sK583) ),
inference(consistent_polarity_flipping,[],[f16691]) ).
fof(f23293,plain,
v_P_H(sK582,sK583),
inference(resolution,[],[f23235,f16692]) ).
fof(f23297,plain,
v_P(sK582,sK583),
inference(resolution,[],[f23233,f23293]) ).
fof(f23298,plain,
$false,
inference(forward_subsumption_resolution,[],[f23297,f23234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW300+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n014.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 13:31:16 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 1.35/0.99 % (1777724)Will run a generic schedule for satisfiability detection.
% 1.35/0.99 % (1777733)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2314430377:i=116_2996 on theBenchmark for (2996ds/116Mi)
% 1.35/0.99 % (1777730)% WARNING: option uhcvi not known.
% 1.35/0.99 % (1777730)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=171124302:i=135531:add=off:rawr=on_2996 on theBenchmark for (2996ds/135531Mi)
% 1.35/0.99 % (1777731)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3970673937:i=88024:add=on:rawr=on_2996 on theBenchmark for (2996ds/88024Mi)
% 1.35/0.99 % (1777729)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=612418278_2996 on theBenchmark for (2996ds/0Mi)
% 1.35/0.99 % (1777732)dis+10_1_sil=32000:sp=arity:random_seed=480331255:i=103:fgj=on_2996 on theBenchmark for (2996ds/103Mi)
% 1.35/0.99 % (1777734)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3303356397:i=131_2996 on theBenchmark for (2996ds/131Mi)
% 1.35/0.99 % (1777735)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=919340885:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2996 on theBenchmark for (2996ds/159Mi)
% 1.35/0.99 % (1777733)Instruction limit reached!
% 1.35/0.99 % (1777733)------------------------------
% 1.35/0.99 % (1777733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.99 % (1777733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.99 % (1777733)CaDiCaL version: 2.1.3
% 1.35/0.99 % (1777733)Termination reason: Instruction limit
% 1.35/0.99 % (1777733)Termination phase: NewCNF
% 1.35/0.99 % (1777733)Time elapsed: 0.044 s
% 1.35/0.99 % (1777733)Peak memory usage: 21 MB
% 1.35/0.99 % (1777733)Instructions burned: 119 (million)
% 1.35/0.99 % (1777743)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1633695392:i=714:nm=2_2995 on theBenchmark for (2995ds/714Mi)
% 1.35/0.99 % (1777732)Instruction limit reached!
% 1.35/0.99 % (1777732)------------------------------
% 1.35/0.99 % (1777732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.99 % (1777732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.99 % (1777732)CaDiCaL version: 2.1.3
% 1.35/0.99 % (1777732)Termination reason: Instruction limit
% 1.35/0.99 % (1777732)Termination phase: Preprocessing 3
% 1.35/0.99 % (1777732)Time elapsed: 0.064 s
% 1.35/0.99 % (1777732)Peak memory usage: 20 MB
% 1.35/0.99 % (1777732)Instructions burned: 103 (million)
% 1.35/0.99 % (1777734)Instruction limit reached!
% 1.35/0.99 % (1777734)------------------------------
% 1.35/0.99 % (1777734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.99 % (1777734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.99 % (1777734)CaDiCaL version: 2.1.3
% 1.35/0.99 % (1777734)Termination reason: Instruction limit
% 1.35/0.99 % (1777734)Termination phase: Preprocessing 3
% 1.35/0.99 % (1777734)Time elapsed: 0.079 s
% 1.35/0.99 % (1777734)Peak memory usage: 20 MB
% 1.35/0.99 % (1777734)Instructions burned: 131 (million)
% 1.35/0.99 % (1777745)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3700979184:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 1.35/0.99 % (1777735)Instruction limit reached!
% 1.35/0.99 % (1777735)------------------------------
% 1.35/0.99 % (1777735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.99 % (1777735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.99 % (1777735)CaDiCaL version: 2.1.3
% 1.35/0.99 % (1777735)Termination reason: Instruction limit
% 1.35/0.99 % (1777735)Termination phase: Clausification
% 1.35/0.99 % (1777735)Time elapsed: 0.096 s
% 1.35/0.99 % (1777735)Peak memory usage: 21 MB
% 1.35/0.99 % (1777735)Instructions burned: 159 (million)
% 1.35/0.99 % (1777746)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=770031441:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 1.35/0.99 % (1777748)ott-21_1_sil=16000:fs=off:random_seed=3283179305:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 1.35/0.99 % (1777745)Instruction limit reached!
% 1.35/0.99 % (1777745)------------------------------
% 1.35/0.99 % (1777745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.99 % (1777745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.99 % (1777745)CaDiCaL version: 2.1.3
% 1.35/0.99 % (1777745)Termination reason: Instruction limit
% 1.35/0.99 % (1777745)Termination phase: Preprocessing 3
% 1.35/0.99 % (1777745)Time elapsed: 0.079 s
% 1.35/0.99 % (1777745)Peak memory usage: 20 MB
% 1.35/0.99 % (1777745)Instructions burned: 132 (million)
% 1.35/0.99 % (1777751)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2948674970:i=477:bd=all_2994 on theBenchmark for (2994ds/477Mi)
% 1.35/0.99 % (1777748)Instruction limit reached!
% 1.35/0.99 % (1777748)------------------------------
% 1.35/0.99 % (1777748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.99 % (1777748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.99 % (1777748)CaDiCaL version: 2.1.3
% 1.35/0.99 % (1777748)Termination reason: Instruction limit
% 1.35/0.99 % (1777748)Termination phase: Property scanning
% 1.35/0.99 % (1777748)Time elapsed: 0.104 s
% 1.35/0.99 % (1777748)Peak memory usage: 22 MB
% 1.35/0.99 % (1777748)Instructions burned: 180 (million)
% 1.35/0.99 % (1777743)Instruction limit reached!
% 1.35/0.99 % (1777743)------------------------------
% 1.35/0.99 % (1777743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.99 % (1777743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.99 % (1777743)CaDiCaL version: 2.1.3
% 1.35/0.99 % (1777743)Termination reason: Instruction limit
% 1.35/0.99 % (1777743)Termination phase: Finite model building preprocessing
% 1.35/0.99 % (1777743)Time elapsed: 0.180 s
% 1.35/0.99 % (1777743)Peak memory usage: 25 MB
% 1.35/0.99 % (1777743)Instructions burned: 715 (million)
% 1.35/0.99 % (1777754)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3787465428:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 1.35/0.99 % (1777753)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3306753200:fmbsr=1.3:i=865:ins=25_2993 on theBenchmark for (2993ds/865Mi)
% 1.35/0.99 % (1777730) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1777724-1777730"...
% 1.35/0.99 % (1777730)...printing done.
% 1.35/0.99 % (1777730)Refutation found. Thanks to Tanya!
% 1.35/0.99 % SZS status Theorem for theBenchmark
% 1.35/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.99 % (1777730)------------------------------
% 1.35/0.99 % (1777730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.99 % (1777730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.99 % (1777730)CaDiCaL version: 2.1.3
% 1.35/0.99 % (1777730)Termination reason: Refutation
% 1.35/0.99 % (1777730)Time elapsed: 0.339 s
% 1.35/0.99 % (1777730)Peak memory usage: 26 MB
% 1.35/0.99 % (1777730)Instructions burned: 716 (million)
% 1.35/0.99 % (1777724)Success in time 0.734 s
% 1.35/0.99 % Vampire exiting
%------------------------------------------------------------------------------