%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 : Fri Sep 25 02:32:07 PM UTC 2026
% Result : Theorem 3.42s 1.20s
% Output : Proof 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 31 unt; 0 def)
% Number of atoms : 51 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 9 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 12 ( 0 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,conjecture,
? [P,NP] :
( ~ patricide(NP)
& parent_of(P,NP)
& patricide(P)
& parent_of(iokaste,P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iokaste_parent_particide_parent_not_patricide) ).
fof(f6_neg,negated_conjecture,
~ ? [P,NP] :
( ~ patricide(NP)
& parent_of(P,NP)
& patricide(P)
& parent_of(iokaste,P) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f6_nnf,plain,
! [P,NP] :
( patricide(NP)
| ~ parent_of(P,NP)
| ~ patricide(P)
| ~ parent_of(iokaste,P) ),
inference(nnf_transformation,[status(thm)],[f6_neg]) ).
fof(f6_sk,plain,
! [P,NP] :
( patricide(NP)
| ~ parent_of(P,NP)
| ~ patricide(P)
| ~ parent_of(iokaste,P) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( patricide(X1)
| ~ parent_of(X0,X1)
| ~ patricide(X0)
| ~ parent_of(iokaste,X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(hi5,negated_conjecture,
ifeq(parent_of(iokaste,X0),true,ifeq(patricide(X0),true,ifeq(parent_of(X0,X1),true,patricide(X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
fof(f0,axiom,
parent_of(iokaste,oedipus),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iokaste_oedipus) ).
fof(f0_nnf,plain,
parent_of(iokaste,oedipus),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
parent_of(iokaste,oedipus),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,axiom,
parent_of(iokaste,oedipus) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f4,axiom,
patricide(oedipus),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oedipus_patricidal) ).
fof(f4_nnf,plain,
patricide(oedipus),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
patricide(oedipus),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(hi4,axiom,
patricide(oedipus) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
fof(f2,axiom,
parent_of(oedipus,polyneikes),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oedipus_polyneikes) ).
fof(f2_nnf,plain,
parent_of(oedipus,polyneikes),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
parent_of(oedipus,polyneikes),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(hi2,axiom,
parent_of(oedipus,polyneikes) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h0,plain,
patricide(polyneikes) = true,
inference(hyper_resolution,[status(thm)],[hi5,hi0,hi4,hi2]) ).
fof(f1,axiom,
parent_of(iokaste,polyneikes),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iokaste_polyneikes) ).
fof(f1_nnf,plain,
parent_of(iokaste,polyneikes),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
parent_of(iokaste,polyneikes),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(hi1,axiom,
parent_of(iokaste,polyneikes) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
fof(f3,axiom,
parent_of(polyneikes,thersandros),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',polyneikes_thersandros) ).
fof(f3_nnf,plain,
parent_of(polyneikes,thersandros),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
parent_of(polyneikes,thersandros),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(hi3,axiom,
parent_of(polyneikes,thersandros) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t2,plain,
patricide(thersandros) = true,
inference(hyper_resolution,[status(thm)],[hi5,hi1,h0,hi3]) ).
cnf(t16,plain,
patricide(thersandros) = true,
inference(orient,[status(thm)],[t2]) ).
fof(f5,axiom,
~ patricide(thersandros),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thersandros_not_patricidal) ).
fof(f5_nnf,plain,
~ patricide(thersandros),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
~ patricide(thersandros),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
~ patricide(thersandros),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(goal_0,negated_conjecture,
patricide(thersandros) != true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t16]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.72 % Computer : n017.cluster.edu
% 0.10/0.72 % Model : x86_64 x86_64
% 0.10/0.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.72 % Memory : 8046.5625MB
% 0.10/0.72 % OS : Linux 6.8.0-71-generic
% 0.10/0.72 % CPULimit : 300
% 0.10/0.72 % WCLimit : 300
% 0.10/0.72 % DateTime : Thu Sep 24 06:55:03 UTC 2026
% 0.10/0.72 % CPUTime :
% 0.10/0.72 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.42/1.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.42/1.20 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------