%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR073+3 : 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 0.19s 0.49s
% Output : CNFRefutation 0.19s
% 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(ax2_187,axiom,
! [ARG1,ARG2] :
( tptptypes_9_401(ARG1,ARG2)
=> tptptypes_8_400(ARG2,ARG1) ),
file('theBenchmark.p',ax2_187) ).
fof(ax2_1143,axiom,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('theBenchmark.p',ax2_1143) ).
fof(ax2_2477,axiom,
( mtvisible(c_tptp_member237_mt)
=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
file('theBenchmark.p',ax2_2477) ).
fof(ax2_3428,axiom,
! [ARG1,ARG2] :
( tptptypes_7_396(ARG1,ARG2)
=> tptptypes_6_388(ARG1,ARG2) ),
file('theBenchmark.p',ax2_3428) ).
fof(ax2_7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax2_7997) ).
fof(ax2_2314,axiom,
! [ARG1,ARG2] :
( tptptypes_8_400(ARG1,ARG2)
=> tptptypes_7_396(ARG1,ARG2) ),
file('theBenchmark.p',ax2_2314) ).
fof(query173,conjecture,
? [ARG1] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(ARG1,c_pushingababycarriage) ),
file('theBenchmark.p',query173) ).
fof(query173_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(assume_negation,[status(cth)],[query173]) ).
cnf(c_46,plain,
( tptptypes_7_396(A,B)
| ~ tptptypes_8_400(A,B) ),
inference(clausify,[status(thm)],[ax2_2314]) ).
cnf(c_59,plain,
( tptptypes_8_400(B,A)
| ~ tptptypes_9_401(A,B) ),
inference(clausify,[status(thm)],[ax2_187]) ).
cnf(c_60,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax2_1143]) ).
fof(ax2_1989,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
file('theBenchmark.p',ax2_1989) ).
cnf(c_62,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
inference(clausify,[status(thm)],[ax2_1989]) ).
cnf(c_63,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
| ~ mtvisible(c_tptp_member237_mt) ),
inference(clausify,[status(thm)],[ax2_2477]) ).
cnf(c_65,plain,
( tptptypes_6_388(A,B)
| ~ tptptypes_7_396(A,B) ),
inference(clausify,[status(thm)],[ax2_3428]) ).
cnf(c_78,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax2_7997]) ).
cnf(c_80,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query173_neg]) ).
cnf(c_81,negated_conjecture,
~ tptptypes_5_387(A,c_pushingababycarriage),
inference(clausify,[status(thm)],[query173_neg]) ).
cnf(c_87,plain,
~ tptptypes_6_388(A,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_60,c_81]) ).
cnf(c_97,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_78,c_80]) ).
cnf(c_88,negated_conjecture,
mtvisible(c_tptp_member237_mt),
inference(resolve,[status(thm)],[c_97,c_62]) ).
cnf(c_89,plain,
tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258),
inference(resolve,[status(thm)],[c_88,c_63]) ).
cnf(c_90,plain,
tptptypes_8_400(c_tptpcol_16_10258,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_59,c_89]) ).
cnf(c_94,plain,
tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_46,c_90]) ).
cnf(c_95,plain,
~ tptptypes_7_396(A,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_65,c_87]) ).
cnf(c_96,plain,
$false,
inference(resolve,[status(thm)],[c_95,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR073+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n002.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 00:41:09 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.39 % Process 3009105 was started by sandbox on n002,
% 0.09/0.39 % Sun Sep 27 00:41:09 2026
% 0.09/0.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.19/0.49
% 0.19/0.49 % SInE (scan): 38 to sos (tol 1.5x), 8 to usable (tol 2.0x), 7959 zapped, of 8005 axioms (depth 3).
% 0.19/0.49
% 0.19/0.49 % From the command line: assign(max_seconds, 300).
% 0.19/0.49
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49
% 0.19/0.49 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.19/0.49 % Length of proof is 23.
% 0.19/0.49 % Level of proof is 6.
% 0.19/0.49 % Maximum clause weight is 111.000.
% 0.19/0.49 % Given clauses 27.
% 0.19/0.49
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------