%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:31:39 PM UTC 2026
% Result : Theorem 3.66s 1.57s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 12 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 10 ( 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
parent_of(iokaste,oedipus),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iokaste_oedipus) ).
fof(f2,axiom,
parent_of(iokaste,polyneikes),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iokaste_polyneikes) ).
fof(f3,axiom,
parent_of(oedipus,polyneikes),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oedipus_polyneikes) ).
fof(f4,axiom,
parent_of(polyneikes,thersandros),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',polyneikes_thersandros) ).
fof(f5,axiom,
patricide(oedipus),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oedipus_patricidal) ).
fof(f6,axiom,
~ patricide(thersandros),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thersandros_not_patricidal) ).
fof(f7,conjecture,
? [X0,X1] :
( parent_of(iokaste,X0)
& patricide(X0)
& parent_of(X0,X1)
& ~ patricide(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iokaste_parent_particide_parent_not_patricide) ).
fof(f8,negated_conjecture,
~ ? [X0,X1] :
( parent_of(iokaste,X0)
& patricide(X0)
& parent_of(X0,X1)
& ~ patricide(X1) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( ~ parent_of(iokaste,X0)
| ~ patricide(X0)
| ~ parent_of(X0,X1)
| patricide(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f10,plain,
parent_of(iokaste,oedipus),
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
parent_of(iokaste,polyneikes),
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
parent_of(oedipus,polyneikes),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
parent_of(polyneikes,thersandros),
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
patricide(oedipus),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
~ patricide(thersandros),
inference(cnf_transformation,[],[f6]) ).
fof(f16,plain,
! [X0,X1] :
( patricide(X1)
| ~ patricide(X0)
| ~ parent_of(X0,X1)
| ~ parent_of(iokaste,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
! [X0] :
( ~ parent_of(X0,thersandros)
| ~ patricide(X0)
| ~ parent_of(iokaste,X0) ),
inference(resolution,[],[f15,f16]) ).
fof(f18,plain,
( ~ patricide(polyneikes)
| ~ parent_of(iokaste,polyneikes) ),
inference(resolution,[],[f13,f17]) ).
fof(f19,plain,
~ patricide(polyneikes),
inference(forward_subsumption_resolution,[],[f18,f11]) ).
fof(f20,plain,
! [X0] :
( ~ patricide(X0)
| ~ parent_of(X0,polyneikes)
| ~ parent_of(iokaste,X0) ),
inference(resolution,[],[f19,f16]) ).
fof(f22,plain,
( ~ parent_of(oedipus,polyneikes)
| ~ parent_of(iokaste,oedipus) ),
inference(resolution,[],[f20,f14]) ).
fof(f23,plain,
~ parent_of(iokaste,oedipus),
inference(forward_subsumption_resolution,[],[f22,f12]) ).
fof(f24,plain,
$false,
inference(forward_subsumption_resolution,[],[f23,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:50:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.66/1.57 % (4044164)Detected formulas, will run a generic FOF schedule.
% 3.66/1.57 % (4044218)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4077479694:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.66/1.57 % (4044218)Refutation not found, incomplete strategy
% 3.66/1.57 % (4044218)------------------------------
% 3.66/1.57 % (4044218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.57 % (4044218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.57 % (4044218)CaDiCaL version: 2.1.3
% 3.66/1.57 % (4044218)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.57 % (4044218)Time elapsed: 0.0000 s
% 3.66/1.57 % (4044218)Peak memory usage: 87 MB
% 3.66/1.57 % (4044220)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3776025191:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.66/1.57 % (4044216)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3162857510:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.66/1.57 % (4044217)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3431557757:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.66/1.57 % (4044215)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=860488102:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.66/1.57 % (4044220)First to succeed.
% 3.66/1.57 % (4044220)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4044164"
% 3.66/1.57 % (4044221)dis-21_1_sil=8000:lcm=predicate:random_seed=3608629417:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.66/1.57 % (4044221)Also succeeded, but the first one will report.
% 3.66/1.57 % (4044219)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3180008751:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.66/1.57 % (4044219)Refutation not found, incomplete strategy
% 3.66/1.57 % (4044219)------------------------------
% 3.66/1.57 % (4044219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.57 % (4044219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.57 % (4044219)CaDiCaL version: 2.1.3
% 3.66/1.57 % (4044219)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.57 % (4044219)Time elapsed: 0.001 s
% 3.66/1.57 % (4044219)Peak memory usage: 87 MB
% 3.66/1.57 % (4044218)------------------------------
% 3.66/1.57 % (4044218)------------------------------
% 3.66/1.57 % (4044229)lrs+10_1_sil=8000:sp=occurrence:random_seed=2045477863:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.66/1.57 % (4044229)Also succeeded, but the first one will report.
% 3.66/1.57 % (4044220)Refutation found. Thanks to Tanya!
% 3.66/1.57 % SZS status Theorem for theBenchmark
% 3.66/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.57 % (4044220)------------------------------
% 3.66/1.57 % (4044220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.57 % (4044220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.57 % (4044220)CaDiCaL version: 2.1.3
% 3.66/1.57 % (4044220)Termination reason: Refutation
% 3.66/1.57 % (4044220)Time elapsed: 0.002 s
% 3.66/1.57 % (4044220)Peak memory usage: 88 MB
% 3.66/1.57 % (4044220)Instructions burned: 1 (million)
% 3.66/1.57 % (4044220)------------------------------
% 3.66/1.57 % (4044220)------------------------------
% 3.66/1.57 % (4044164)Success in time 0.43 s
% 3.66/1.57 % Vampire exiting
%------------------------------------------------------------------------------