%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MSC019+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 : n005.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 02:13:50 PM UTC 2026
% Result : Theorem 4.04s 0.96s
% Output : Proof 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 19 unt; 0 def)
% Number of atoms : 31 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 6 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 15 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f600,axiom,
! [X,Y,Z] :
( ( s_contains(Y,Z)
& s_contains(X,Y) )
=> s_contains(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1) ).
fof(f600_nnf,plain,
! [X,Y,Z] :
( s_contains(X,Z)
| ~ s_contains(Y,Z)
| ~ s_contains(X,Y) ),
inference(nnf_transformation,[status(thm)],[f600]) ).
fof(f600_sk,plain,
! [X,Y,Z] :
( s_contains(X,Z)
| ~ s_contains(Y,Z)
| ~ s_contains(X,Y) ),
inference(skolemisation,[status(esa)],[f600_nnf]) ).
cnf(c600,plain,
( s_contains(X0,X2)
| ~ s_contains(X1,X2)
| ~ s_contains(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f600_sk]) ).
cnf(hi600,axiom,
ifeq(s_contains(X0,X1),true,ifeq(s_contains(X1,X2),true,s_contains(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c600]) ).
fof(f18,axiom,
s_contains(s_g019,s_g013),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb18) ).
fof(f18_nnf,plain,
s_contains(s_g019,s_g013),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
s_contains(s_g019,s_g013),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(hi18,axiom,
s_contains(s_g019,s_g013) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
fof(f74,axiom,
s_contains(s_g013,s_MX),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb74) ).
fof(f74_nnf,plain,
s_contains(s_g013,s_MX),
inference(nnf_transformation,[status(thm)],[f74]) ).
cnf(c74,plain,
s_contains(s_g013,s_MX),
inference(cnf_transformation,[status(esa)],[f74_nnf]) ).
cnf(hi74,axiom,
s_contains(s_g013,s_MX) = true,
inference(equality_encoding,[status(esa)],[c74]) ).
cnf(t19,plain,
s_contains(s_g019,s_MX) = true,
inference(hyper_resolution,[status(thm)],[hi600,hi18,hi74]) ).
cnf(t53,plain,
s_contains(s_g019,s_MX) = true,
inference(orient,[status(thm)],[t19]) ).
fof(f603,conjecture,
s_contains(s_g019,s_MX),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexico_in_america_1) ).
fof(f603_neg,negated_conjecture,
~ s_contains(s_g019,s_MX),
inference(negated_conjecture,[status(cth)],[f603]) ).
fof(f603_nnf,plain,
~ s_contains(s_g019,s_MX),
inference(nnf_transformation,[status(thm)],[f603_neg]) ).
fof(f603_sk,plain,
~ s_contains(s_g019,s_MX),
inference(skolemisation,[status(esa)],[f603_nnf]) ).
cnf(c603,plain,
~ s_contains(s_g019,s_MX),
inference(cnf_transformation,[status(esa)],[f603_sk]) ).
cnf(goal_0,negated_conjecture,
s_contains(s_g019,s_MX) != true,
inference(equality_encoding,[status(esa)],[c603]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t53]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC019+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 01:31:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.04/0.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.04/0.96 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------