%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR062+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 : n020.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 07:07:01 AM UTC 2026
% Result : Theorem 17.88s 12.18s
% Output : CNFRefutation 17.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 8 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 23 ( 4 sgn 8 !; 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_61642,axiom,
( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
file('theBenchmark.p',ax4_61642) ).
fof(ax4_104527,axiom,
! [ARG1,ARG2] :
( tptptypes_8_390(ARG1,ARG2)
=> tptptypes_7_389(ARG1,ARG2) ),
file('theBenchmark.p',ax4_104527) ).
fof(ax4_540220,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax4_540220) ).
fof(query262,conjecture,
? [ARG1] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(ARG1,c_pushingwithfingers) ),
file('theBenchmark.p',query262) ).
fof(query262_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(ARG1,c_pushingwithfingers) ),
inference(assume_negation,[status(cth)],[query262]) ).
cnf(c_108,plain,
( tptptypes_6_388(B,A)
| ~ tptptypes_7_389(A,B) ),
inference(clausify,[status(thm)],[ax4_16164]) ).
cnf(c_110,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax4_56790]) ).
cnf(c_111,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax4_61642]) ).
fof(ax4_71548,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax4_71548) ).
cnf(c_112,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax4_71548]) ).
cnf(c_113,plain,
( tptptypes_7_389(A,B)
| ~ tptptypes_8_390(A,B) ),
inference(clausify,[status(thm)],[ax4_104527]) ).
fof(ax4_239118,axiom,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax4_239118) ).
cnf(c_119,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax4_239118]) ).
cnf(c_135,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax4_540220]) ).
cnf(c_138,negated_conjecture,
mtvisible(c_tptp_member3205_mt),
inference(clausify,[status(thm)],[query262_neg]) ).
cnf(c_139,negated_conjecture,
~ tptptypes_5_387(A,c_pushingwithfingers),
inference(clausify,[status(thm)],[query262_neg]) ).
cnf(c_140,plain,
~ tptptypes_6_388(A,c_pushingwithfingers),
inference(resolve,[status(thm)],[c_139,c_110]) ).
cnf(c_141,plain,
~ tptptypes_7_389(c_pushingwithfingers,A),
inference(resolve,[status(thm)],[c_140,c_108]) ).
cnf(c_142,plain,
~ tptptypes_8_390(c_pushingwithfingers,A),
inference(resolve,[status(thm)],[c_113,c_141]) ).
cnf(c_143,plain,
~ mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_142,c_111]) ).
cnf(c_181,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3205_mt,A) ),
inference(resolve,[status(thm)],[c_135,c_138]) ).
cnf(c_179,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_181,c_119]) ).
cnf(c_182,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_135,c_112]) ).
cnf(c_183,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_182,c_143]) ).
cnf(c_180,plain,
$false,
inference(resolve,[status(thm)],[c_179,c_183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR062+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 00:29:50 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 2863986 was started by sandbox on n020,
% 0.10/0.38 % Sun Sep 27 00:29:50 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 17.88/12.18
% 17.88/12.18 % SInE (scan): 65 to sos (tol 1.5x), 16 to usable (tol 2.0x), 540168 zapped, of 540249 axioms (depth 3).
% 17.88/12.18
% 17.88/12.18 % From the command line: assign(max_seconds, 300).
% 17.88/12.18
% 17.88/12.18 % SZS status Theorem for theBenchmark
% 17.88/12.19
% 17.88/12.19 % Proof 1 at 0.72 (+ 0.60) seconds.
% 17.88/12.19 % Length of proof is 21.
% 17.88/12.19 % Level of proof is 6.
% 17.88/12.19 % Maximum clause weight is 112.000.
% 17.88/12.19 % Given clauses 51.
% 17.88/12.19
% 17.88/12.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------