%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW302+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 : n016.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 1.36s 0.98s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 10 ~; 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_Q_H(X0,X1)
=> v_Q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5242,conjecture,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( ! [X3] :
( v_P(X3,X1)
=> v_Q_H(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(X3,X1)
=> v_Q_H(X3,X2) )
=> v_Q(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f5242]) ).
fof(f9580,plain,
! [X0,X1] :
( v_Q(X0,X1)
| ~ v_Q_H(X0,X1) ),
inference(ennf_transformation,[],[f5241]) ).
fof(f9581,plain,
? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& ! [X3] :
( v_Q_H(X3,X2)
| ~ v_P(X3,X1) ) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5243]) ).
fof(f16691,plain,
! [X0,X1] :
( ~ v_Q_H(X0,X1)
| v_Q(X0,X1) ),
inference(cnf_transformation,[],[f9580]) ).
fof(f16692,plain,
! [X3] :
( ~ v_P(X3,sK583)
| v_Q_H(X3,sK584) ),
inference(cnf_transformation,[],[f9581]) ).
fof(f16693,plain,
~ v_Q(sK582,sK584),
inference(cnf_transformation,[],[f9581]) ).
fof(f16694,plain,
v_P(sK582,sK583),
inference(cnf_transformation,[],[f9581]) ).
fof(f23355,plain,
! [X0,X1] :
( ~ v_Q(X0,X1)
| v_Q_H(X0,X1) ),
inference(consistent_polarity_flipping,[],[f16691]) ).
fof(f23356,plain,
~ v_P(sK582,sK583),
inference(consistent_polarity_flipping,[],[f16694]) ).
fof(f23357,plain,
v_Q(sK582,sK584),
inference(consistent_polarity_flipping,[],[f16693]) ).
fof(f23358,plain,
! [X3] :
( ~ v_Q_H(X3,sK584)
| v_P(X3,sK583) ),
inference(consistent_polarity_flipping,[],[f16692]) ).
fof(f23419,plain,
v_Q_H(sK582,sK584),
inference(resolution,[],[f23355,f23357]) ).
fof(f23435,plain,
v_P(sK582,sK583),
inference(resolution,[],[f23419,f23358]) ).
fof(f23436,plain,
$false,
inference(forward_subsumption_resolution,[],[f23435,f23356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW302+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 13:37:33 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 1.36/0.98 % (3627730)Will run a generic schedule for satisfiability detection.
% 1.36/0.98 % (3627739)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2530562931:i=116_2996 on theBenchmark for (2996ds/116Mi)
% 1.36/0.98 % (3627736)% WARNING: option uhcvi not known.
% 1.36/0.98 % (3627735)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1299220104_2996 on theBenchmark for (2996ds/0Mi)
% 1.36/0.98 % (3627737)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3407736338:i=88024:add=on:rawr=on_2996 on theBenchmark for (2996ds/88024Mi)
% 1.36/0.98 % (3627736)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=761689177:i=135531:add=off:rawr=on_2996 on theBenchmark for (2996ds/135531Mi)
% 1.36/0.98 % (3627740)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2965614733:i=131_2996 on theBenchmark for (2996ds/131Mi)
% 1.36/0.98 % (3627738)dis+10_1_sil=32000:sp=arity:random_seed=3982804655:i=103:fgj=on_2996 on theBenchmark for (2996ds/103Mi)
% 1.36/0.98 % (3627741)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=56507923:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2996 on theBenchmark for (2996ds/159Mi)
% 1.36/0.98 % (3627739)Instruction limit reached!
% 1.36/0.98 % (3627739)------------------------------
% 1.36/0.98 % (3627739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.98 % (3627739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.98 % (3627739)CaDiCaL version: 2.1.3
% 1.36/0.98 % (3627739)Termination reason: Instruction limit
% 1.36/0.98 % (3627739)Termination phase: NewCNF
% 1.36/0.98 % (3627739)Time elapsed: 0.044 s
% 1.36/0.98 % (3627739)Peak memory usage: 21 MB
% 1.36/0.98 % (3627739)Instructions burned: 118 (million)
% 1.36/0.98 % (3627749)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1943049006:i=714:nm=2_2995 on theBenchmark for (2995ds/714Mi)
% 1.36/0.98 % (3627738)Instruction limit reached!
% 1.36/0.98 % (3627738)------------------------------
% 1.36/0.98 % (3627738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.98 % (3627738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.98 % (3627738)CaDiCaL version: 2.1.3
% 1.36/0.98 % (3627738)Termination reason: Instruction limit
% 1.36/0.98 % (3627738)Termination phase: Preprocessing 3
% 1.36/0.98 % (3627738)Time elapsed: 0.065 s
% 1.36/0.98 % (3627738)Peak memory usage: 20 MB
% 1.36/0.98 % (3627738)Instructions burned: 104 (million)
% 1.36/0.98 % (3627740)Instruction limit reached!
% 1.36/0.98 % (3627740)------------------------------
% 1.36/0.98 % (3627740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.98 % (3627740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.98 % (3627740)CaDiCaL version: 2.1.3
% 1.36/0.98 % (3627740)Termination reason: Instruction limit
% 1.36/0.98 % (3627740)Termination phase: Preprocessing 3
% 1.36/0.98 % (3627740)Time elapsed: 0.079 s
% 1.36/0.98 % (3627740)Peak memory usage: 20 MB
% 1.36/0.98 % (3627740)Instructions burned: 131 (million)
% 1.36/0.98 % (3627751)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1044805071:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 1.36/0.98 % (3627752)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=4165933946:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 1.36/0.98 % (3627741)Instruction limit reached!
% 1.36/0.98 % (3627741)------------------------------
% 1.36/0.98 % (3627741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.98 % (3627741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.98 % (3627741)CaDiCaL version: 2.1.3
% 1.36/0.98 % (3627741)Termination reason: Instruction limit
% 1.36/0.98 % (3627741)Termination phase: Clausification
% 1.36/0.98 % (3627741)Time elapsed: 0.119 s
% 1.36/0.98 % (3627741)Peak memory usage: 21 MB
% 1.36/0.98 % (3627741)Instructions burned: 160 (million)
% 1.36/0.98 % (3627755)ott-21_1_sil=16000:fs=off:random_seed=4261610419:i=180:av=off:fsr=off_2994 on theBenchmark for (2994ds/180Mi)
% 1.36/0.98 % (3627751)Instruction limit reached!
% 1.36/0.98 % (3627751)------------------------------
% 1.36/0.98 % (3627751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.98 % (3627751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.98 % (3627751)CaDiCaL version: 2.1.3
% 1.36/0.98 % (3627751)Termination reason: Instruction limit
% 1.36/0.98 % (3627751)Termination phase: Preprocessing 3
% 1.36/0.98 % (3627751)Time elapsed: 0.079 s
% 1.36/0.98 % (3627751)Peak memory usage: 20 MB
% 1.36/0.98 % (3627751)Instructions burned: 132 (million)
% 1.36/0.98 % (3627757)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=142067934:i=477:bd=all_2994 on theBenchmark for (2994ds/477Mi)
% 1.36/0.98 % (3627749)Instruction limit reached!
% 1.36/0.98 % (3627749)------------------------------
% 1.36/0.98 % (3627749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.98 % (3627749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.98 % (3627749)CaDiCaL version: 2.1.3
% 1.36/0.98 % (3627749)Termination reason: Instruction limit
% 1.36/0.98 % (3627749)Termination phase: Finite model building preprocessing
% 1.36/0.98 % (3627749)Time elapsed: 0.181 s
% 1.36/0.98 % (3627749)Peak memory usage: 25 MB
% 1.36/0.98 % (3627749)Instructions burned: 716 (million)
% 1.36/0.98 % (3627759)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2375167661:fmbsr=1.3:i=865:ins=25_2993 on theBenchmark for (2993ds/865Mi)
% 1.36/0.98 % (3627755)Instruction limit reached!
% 1.36/0.98 % (3627755)------------------------------
% 1.36/0.98 % (3627755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.98 % (3627755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.98 % (3627755)CaDiCaL version: 2.1.3
% 1.36/0.98 % (3627755)Termination reason: Instruction limit
% 1.36/0.98 % (3627755)Termination phase: Property scanning
% 1.36/0.98 % (3627755)Time elapsed: 0.104 s
% 1.36/0.98 % (3627755)Peak memory usage: 22 MB
% 1.36/0.98 % (3627755)Instructions burned: 182 (million)
% 1.36/0.98 % (3627761)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=770957654:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 1.36/0.98 % (3627736) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3627730-3627736"...
% 1.36/0.98 % (3627736)...printing done.
% 1.36/0.98 % (3627736)Refutation found. Thanks to Tanya!
% 1.36/0.98 % SZS status Theorem for theBenchmark
% 1.36/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.98 % (3627736)------------------------------
% 1.36/0.98 % (3627736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.98 % (3627736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.98 % (3627736)CaDiCaL version: 2.1.3
% 1.36/0.98 % (3627736)Termination reason: Refutation
% 1.36/0.98 % (3627736)Time elapsed: 0.341 s
% 1.36/0.98 % (3627736)Peak memory usage: 26 MB
% 1.36/0.98 % (3627736)Instructions burned: 716 (million)
% 1.36/0.98 % (3627730)Success in time 0.742 s
% 1.36/0.98 % Vampire exiting
%------------------------------------------------------------------------------