%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR073+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 07:07:09 AM UTC 2026
% Result : Theorem 0.61s 1.04s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 12 ~; 8 |; 1 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 26 ( 3 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_337,axiom,
( mtvisible(c_tptp_member237_mt)
=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
file('theBenchmark.p',ax3_337) ).
fof(ax3_2560,axiom,
! [ARG1,ARG2] :
( tptptypes_9_401(ARG1,ARG2)
=> tptptypes_8_400(ARG2,ARG1) ),
file('theBenchmark.p',ax3_2560) ).
fof(ax3_11372,axiom,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('theBenchmark.p',ax3_11372) ).
fof(ax3_16571,axiom,
! [ARG1,ARG2] :
( tptptypes_7_396(ARG1,ARG2)
=> tptptypes_6_388(ARG1,ARG2) ),
file('theBenchmark.p',ax3_16571) ).
fof(ax3_44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax3_44208) ).
fof(ax3_29009,axiom,
! [ARG1,ARG2] :
( tptptypes_8_400(ARG1,ARG2)
=> tptptypes_7_396(ARG1,ARG2) ),
file('theBenchmark.p',ax3_29009) ).
fof(query223,conjecture,
? [ARG1] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(ARG1,c_pushingababycarriage) ),
file('theBenchmark.p',query223) ).
fof(query223_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(assume_negation,[status(cth)],[query223]) ).
cnf(c_60,plain,
( tptptypes_7_396(A,B)
| ~ tptptypes_8_400(A,B) ),
inference(clausify,[status(thm)],[ax3_29009]) ).
cnf(c_75,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
| ~ mtvisible(c_tptp_member237_mt) ),
inference(clausify,[status(thm)],[ax3_337]) ).
cnf(c_76,plain,
( tptptypes_8_400(B,A)
| ~ tptptypes_9_401(A,B) ),
inference(clausify,[status(thm)],[ax3_2560]) ).
fof(ax3_10596,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
file('theBenchmark.p',ax3_10596) ).
cnf(c_81,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
inference(clausify,[status(thm)],[ax3_10596]) ).
cnf(c_82,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax3_11372]) ).
cnf(c_83,plain,
( tptptypes_6_388(A,B)
| ~ tptptypes_7_396(A,B) ),
inference(clausify,[status(thm)],[ax3_16571]) ).
cnf(c_101,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax3_44208]) ).
cnf(c_103,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query223_neg]) ).
cnf(c_104,negated_conjecture,
~ tptptypes_5_387(A,c_pushingababycarriage),
inference(clausify,[status(thm)],[query223_neg]) ).
cnf(c_106,plain,
~ tptptypes_6_388(A,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_82,c_104]) ).
cnf(c_120,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_101,c_103]) ).
cnf(c_111,negated_conjecture,
mtvisible(c_tptp_member237_mt),
inference(resolve,[status(thm)],[c_120,c_81]) ).
cnf(c_112,plain,
tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258),
inference(resolve,[status(thm)],[c_111,c_75]) ).
cnf(c_113,plain,
tptptypes_8_400(c_tptpcol_16_10258,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_76,c_112]) ).
cnf(c_115,plain,
tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_60,c_113]) ).
cnf(c_118,plain,
~ tptptypes_7_396(A,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_83,c_106]) ).
cnf(c_119,plain,
$false,
inference(resolve,[status(thm)],[c_118,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR073+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.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 : Sun Sep 27 00:41:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 3010273 was started by sandbox on n002,
% 0.09/0.36 % Sun Sep 27 00:41:26 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.61/1.04
% 0.61/1.04 % SInE (scan): 53 to sos (tol 1.5x), 11 to usable (tol 2.0x), 44152 zapped, of 44216 axioms (depth 3).
% 0.61/1.04
% 0.61/1.04 % From the command line: assign(max_seconds, 300).
% 0.61/1.04
% 0.61/1.04 % SZS status Theorem for theBenchmark
% 0.61/1.04
% 0.61/1.04 % Proof 1 at 0.05 (+ 0.05) seconds.
% 0.61/1.04 % Length of proof is 23.
% 0.61/1.04 % Level of proof is 6.
% 0.61/1.04 % Maximum clause weight is 111.000.
% 0.61/1.04 % Given clauses 34.
% 0.61/1.04
% 0.61/1.04 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------