%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR030+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Sun Sep 27 07:06:38 AM UTC 2026
% Result : Theorem 16.10s 9.03s
% Output : CNFRefutation 16.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 6 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 18 ( 3 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4_16164,axiom,
! [ARG1,ARG2] :
( tptptypes_7_389(ARG1,ARG2)
=> tptptypes_6_388(ARG2,ARG1) ),
file('theBenchmark.p',ax4_16164) ).
fof(ax4_56790,axiom,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('theBenchmark.p',ax4_56790) ).
fof(ax4_540220,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax4_540220) ).
fof(ax4_302157,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('theBenchmark.p',ax4_302157) ).
fof(query230,conjecture,
? [ARG2] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
file('theBenchmark.p',query230) ).
fof(query230_neg,negated_conjecture,
~ ? [ARG2] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(assume_negation,[status(cth)],[query230]) ).
cnf(c_74,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[ax4_302157]) ).
cnf(c_91,plain,
( tptptypes_6_388(B,A)
| ~ tptptypes_7_389(A,B) ),
inference(clausify,[status(thm)],[ax4_16164]) ).
cnf(c_93,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax4_56790]) ).
fof(ax4_71786,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax4_71786) ).
cnf(c_95,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax4_71786]) ).
cnf(c_110,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax4_540220]) ).
cnf(c_113,negated_conjecture,
mtvisible(c_tptp_member3393_mt),
inference(clausify,[status(thm)],[query230_neg]) ).
cnf(c_114,negated_conjecture,
~ tptptypes_5_387(A,c_pushingwithopenhand),
inference(clausify,[status(thm)],[query230_neg]) ).
cnf(c_115,plain,
~ tptptypes_6_388(A,c_pushingwithopenhand),
inference(resolve,[status(thm)],[c_93,c_114]) ).
cnf(c_117,plain,
~ tptptypes_7_389(c_pushingwithopenhand,A),
inference(resolve,[status(thm)],[c_115,c_91]) ).
cnf(c_118,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_117,c_74]) ).
cnf(c_130,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3393_mt,A) ),
inference(resolve,[status(thm)],[c_110,c_113]) ).
cnf(c_131,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_130,c_95]) ).
cnf(c_129,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_118,c_131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR030+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 00:06:01 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 2030613 was started by sandbox on n016,
% 0.10/0.38 % Sun Sep 27 00:06:01 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 16.10/9.03
% 16.10/9.03 % SInE (scan): 49 to sos (tol 1.5x), 19 to usable (tol 2.0x), 540181 zapped, of 540249 axioms (depth 3).
% 16.10/9.03
% 16.10/9.03 % From the command line: assign(max_seconds, 300).
% 16.10/9.03
% 16.10/9.03 % SZS status Theorem for theBenchmark
% 16.10/9.03
% 16.10/9.03 % Proof 1 at 0.59 (+ 0.46) seconds.
% 16.10/9.03 % Length of proof is 16.
% 16.10/9.03 % Level of proof is 5.
% 16.10/9.03 % Maximum clause weight is 112.000.
% 16.10/9.03 % Given clauses 37.
% 16.10/9.03
% 16.10/9.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------