%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW298+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 01:39:47 PM UTC 2026
% Result : Theorem 7.30s 1.75s
% Output : Refutation 7.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 14 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( c_Hoare__Mirabelle_Otriple__valid(X2,hAPP(c_Nat_OSuc,X1),X0)
=> c_Hoare__Mirabelle_Otriple__valid(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_triple__valid__Suc) ).
fof(f5224,axiom,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5225,conjecture,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5226,negated_conjecture,
~ ! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X0) ),
inference(negated_conjecture,[status(cth)],[f5225]) ).
fof(f5433,plain,
! [X0,X1,X2] :
( c_Hoare__Mirabelle_Otriple__valid(X2,X1,X0)
| ~ c_Hoare__Mirabelle_Otriple__valid(X2,hAPP(c_Nat_OSuc,X1),X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9643,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X0)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts)) ),
inference(ennf_transformation,[],[f5224]) ).
fof(f9644,plain,
? [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X0)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts)) ),
inference(ennf_transformation,[],[f5226]) ).
fof(f9646,plain,
! [X2,X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X2,hAPP(c_Nat_OSuc,X1),X0)
| c_Hoare__Mirabelle_Otriple__valid(X2,X1,X0) ),
inference(cnf_transformation,[],[f5433]) ).
fof(f16731,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X0) ),
inference(cnf_transformation,[],[f9643]) ).
fof(f16732,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK547),v_ts)),
inference(cnf_transformation,[],[f9644]) ).
fof(f16733,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK547),
inference(cnf_transformation,[],[f9644]) ).
fof(f35262,plain,
c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),sK547),
inference(resolution,[],[f16731,f16732]) ).
fof(f35265,plain,
c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK547),
inference(resolution,[],[f35262,f9646]) ).
fof(f35266,plain,
$false,
inference(forward_subsumption_resolution,[],[f35265,f16733]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW298+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.25 % Computer : n009.cluster.edu
% 0.09/0.25 % Model : x86_64 x86_64
% 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25 % Memory : 8046.5625MB
% 0.09/0.25 % OS : Linux 6.8.0-71-generic
% 0.09/0.25 % CPULimit : 300
% 0.09/0.25 % WCLimit : 300
% 0.09/0.25 % DateTime : Mon Sep 28 13:31:15 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.31 Running first-order model finding
% 0.25/0.31 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
% 7.30/1.75 % (3026782)Will run a generic schedule for satisfiability detection.
% 7.30/1.75 % (3026789)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1784293141_2997 on theBenchmark for (2997ds/0Mi)
% 7.30/1.75 % (3026790)% WARNING: option uhcvi not known.
% 7.30/1.75 % (3026790)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2730729692:i=135531:add=off:rawr=on_2997 on theBenchmark for (2997ds/135531Mi)
% 7.30/1.75 % (3026791)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2719815978:i=88024:add=on:rawr=on_2997 on theBenchmark for (2997ds/88024Mi)
% 7.30/1.75 % (3026792)dis+10_1_sil=32000:sp=arity:random_seed=3122708112:i=103:fgj=on_2997 on theBenchmark for (2997ds/103Mi)
% 7.30/1.75 % (3026793)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2589585838:i=116_2997 on theBenchmark for (2997ds/116Mi)
% 7.30/1.75 % (3026795)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2332636754:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2997 on theBenchmark for (2997ds/159Mi)
% 7.30/1.75 % (3026794)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=196739997:i=131_2997 on theBenchmark for (2997ds/131Mi)
% 7.30/1.75 % (3026792)Instruction limit reached!
% 7.30/1.75 % (3026792)------------------------------
% 7.30/1.75 % (3026792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.75 % (3026792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.75 % (3026792)CaDiCaL version: 2.1.3
% 7.30/1.75 % (3026792)Termination reason: Instruction limit
% 7.30/1.75 % (3026792)Termination phase: Preprocessing 3
% 7.30/1.75 % (3026792)Time elapsed: 0.102 s
% 7.30/1.75 % (3026792)Peak memory usage: 20 MB
% 7.30/1.75 % (3026792)Instructions burned: 104 (million)
% 7.30/1.75 % (3026793)Instruction limit reached!
% 7.30/1.75 % (3026793)------------------------------
% 7.30/1.75 % (3026793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.75 % (3026793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.75 % (3026793)CaDiCaL version: 2.1.3
% 7.30/1.75 % (3026793)Termination reason: Instruction limit
% 7.30/1.75 % (3026793)Termination phase: NewCNF
% 7.30/1.75 % (3026793)Time elapsed: 0.117 s
% 7.30/1.75 % (3026793)Peak memory usage: 21 MB
% 7.30/1.75 % (3026793)Instructions burned: 116 (million)
% 7.30/1.75 % (3026803)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2197095050:i=714:nm=2_2995 on theBenchmark for (2995ds/714Mi)
% 7.30/1.75 % (3026794)Instruction limit reached!
% 7.30/1.75 % (3026794)------------------------------
% 7.30/1.75 % (3026794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.75 % (3026794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.75 % (3026794)CaDiCaL version: 2.1.3
% 7.30/1.75 % (3026794)Termination reason: Instruction limit
% 7.30/1.75 % (3026794)Termination phase: Preprocessing 3
% 7.30/1.75 % (3026794)Time elapsed: 0.130 s
% 7.30/1.75 % (3026794)Peak memory usage: 20 MB
% 7.30/1.75 % (3026794)Instructions burned: 131 (million)
% 7.30/1.75 % (3026804)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3572659075:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 7.30/1.75 % (3026806)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=3282442502:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 7.30/1.75 % (3026795)Instruction limit reached!
% 7.30/1.75 % (3026795)------------------------------
% 7.30/1.75 % (3026795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.75 % (3026795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.75 % (3026795)CaDiCaL version: 2.1.3
% 7.30/1.75 % (3026795)Termination reason: Instruction limit
% 7.30/1.75 % (3026795)Termination phase: Clausification
% 7.30/1.75 % (3026795)Time elapsed: 0.155 s
% 7.30/1.75 % (3026795)Peak memory usage: 21 MB
% 7.30/1.75 % (3026795)Instructions burned: 159 (million)
% 7.30/1.75 % (3026809)ott-21_1_sil=16000:fs=off:random_seed=1964842630:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 7.30/1.75 % (3026804)Instruction limit reached!
% 7.30/1.75 % (3026804)------------------------------
% 7.30/1.75 % (3026804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.75 % (3026804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.75 % (3026804)CaDiCaL version: 2.1.3
% 7.30/1.75 % (3026804)Termination reason: Instruction limit
% 7.30/1.75 % (3026804)Termination phase: Preprocessing 3
% 7.30/1.75 % (3026804)Time elapsed: 0.127 s
% 7.30/1.75 % (3026804)Peak memory usage: 20 MB
% 7.30/1.75 % (3026804)Instructions burned: 132 (million)
% 7.30/1.75 % (3026811)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2954803762:i=477:bd=all_2993 on theBenchmark for (2993ds/477Mi)
% 7.30/1.75 % (3026809)Instruction limit reached!
% 7.30/1.75 % (3026809)------------------------------
% 7.30/1.75 % (3026809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.75 % (3026809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.75 % (3026809)CaDiCaL version: 2.1.3
% 7.30/1.75 % (3026809)Termination reason: Instruction limit
% 7.30/1.75 % (3026809)Termination phase: Property scanning
% 7.30/1.75 % (3026809)Time elapsed: 0.140 s
% 7.30/1.75 % (3026809)Peak memory usage: 22 MB
% 7.30/1.75 % (3026809)Instructions burned: 180 (million)
% 7.30/1.75 % (3026813)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2119350444:fmbsr=1.3:i=865:ins=25_2993 on theBenchmark for (2993ds/865Mi)
% 7.30/1.75 % (3026811)Instruction limit reached!
% 7.30/1.75 % (3026811)------------------------------
% 7.30/1.75 % (3026811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.75 % (3026811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.75 % (3026811)CaDiCaL version: 2.1.3
% 7.30/1.75 % (3026811)Termination reason: Instruction limit
% 7.30/1.75 % (3026811)Termination phase: Property scanning
% 7.30/1.75 % (3026811)Time elapsed: 0.415 s
% 7.30/1.75 % (3026811)Peak memory usage: 22 MB
% 7.30/1.75 % (3026811)Instructions burned: 477 (million)
% 7.30/1.75 % (3026803)Instruction limit reached!
% 7.30/1.75 % (3026803)------------------------------
% 7.30/1.75 % (3026803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.75 % (3026803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.75 % (3026803)CaDiCaL version: 2.1.3
% 7.30/1.75 % (3026803)Termination reason: Instruction limit
% 7.30/1.75 % (3026803)Termination phase: Finite model building preprocessing
% 7.30/1.75 % (3026803)Time elapsed: 0.613 s
% 7.30/1.75 % (3026803)Peak memory usage: 25 MB
% 7.30/1.75 % (3026803)Instructions burned: 714 (million)
% 7.30/1.75 % (3026806)Instruction limit reached!
% 7.30/1.75 % (3026806)------------------------------
% 7.30/1.75 % (3026806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.75 % (3026806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.75 % (3026806)CaDiCaL version: 2.1.3
% 7.30/1.75 % (3026806)Termination reason: Instruction limit
% 7.30/1.75 % (3026806)Termination phase: Saturation
% 7.30/1.75 % (3026806)Time elapsed: 0.594 s
% 7.30/1.75 % (3026806)Peak memory usage: 25 MB
% 7.30/1.75 % (3026806)Instructions burned: 684 (million)
% 7.30/1.75 % (3026815)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2581215895:i=1179_2989 on theBenchmark for (2989ds/1179Mi)
% 7.30/1.75 % (3026816)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4285016634:i=889:ins=1_2989 on theBenchmark for (2989ds/889Mi)
% 7.30/1.75 % (3026818)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1736615491:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2989 on theBenchmark for (2989ds/692Mi)
% 7.30/1.75 % (3026790) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3026782-3026790"...
% 7.30/1.75 % (3026790)...printing done.
% 7.30/1.75 % (3026790)Refutation found. Thanks to Tanya!
% 7.30/1.75 % SZS status Theorem for theBenchmark
% 7.30/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 7.30/1.75 % (3026790)------------------------------
% 7.30/1.75 % (3026790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.30/1.75 % (3026790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/1.75 % (3026790)CaDiCaL version: 2.1.3
% 7.30/1.75 % (3026790)Termination reason: Refutation
% 7.30/1.75 % (3026790)Time elapsed: 1.075 s
% 7.30/1.75 % (3026790)Peak memory usage: 32 MB
% 7.30/1.75 % (3026790)Instructions burned: 1159 (million)
% 7.30/1.75 % (3026782)Success in time 1.424 s
% 7.30/1.75 % Vampire exiting
%------------------------------------------------------------------------------