%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR073+1 : 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 : n015.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 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 9 |; 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 : 29 ( 4 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just7,axiom,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('theBenchmark.p',just7) ).
fof(just9,axiom,
! [ARG1,ARG2] :
( tptptypes_7_396(ARG1,ARG2)
=> tptptypes_6_388(ARG1,ARG2) ),
file('theBenchmark.p',just9) ).
fof(just11,axiom,
! [ARG1,ARG2] :
( tptptypes_8_400(ARG1,ARG2)
=> tptptypes_7_396(ARG1,ARG2) ),
file('theBenchmark.p',just11) ).
fof(just13,axiom,
! [ARG1,ARG2] :
( tptptypes_9_401(ARG1,ARG2)
=> tptptypes_8_400(ARG2,ARG1) ),
file('theBenchmark.p',just13) ).
fof(just18,axiom,
( mtvisible(c_tptp_member237_mt)
=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
file('theBenchmark.p',just18) ).
fof(just59,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',just59) ).
fof(query73,conjecture,
? [ARG1] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(ARG1,c_pushingababycarriage) ),
file('theBenchmark.p',query73) ).
fof(query73_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(assume_negation,[status(cth)],[query73]) ).
cnf(c_57,plain,
( tptptypes_6_388(A,B)
| ~ tptptypes_7_396(A,B) ),
inference(clausify,[status(thm)],[just9]) ).
cnf(c_60,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[just7]) ).
cnf(c_62,plain,
( ~ tptptypes_7_396(A,B)
| tptptypes_5_387(A,B) ),
inference(resolve,[status(thm)],[c_60,c_57]) ).
cnf(c_64,negated_conjecture,
~ tptptypes_5_387(A,c_pushingababycarriage),
inference(clausify,[status(thm)],[query73_neg]) ).
cnf(c_65,plain,
( tptptypes_7_396(A,B)
| ~ tptptypes_8_400(A,B) ),
inference(clausify,[status(thm)],[just11]) ).
cnf(c_70,negated_conjecture,
~ tptptypes_7_396(A,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_64,c_62]) ).
cnf(c_73,plain,
( tptptypes_8_400(B,A)
| ~ tptptypes_9_401(A,B) ),
inference(clausify,[status(thm)],[just13]) ).
cnf(c_76,negated_conjecture,
~ tptptypes_8_400(A,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_65,c_70]) ).
cnf(c_79,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
| ~ mtvisible(c_tptp_member237_mt) ),
inference(clausify,[status(thm)],[just18]) ).
cnf(c_82,negated_conjecture,
~ tptptypes_9_401(c_pushingababycarriage,A),
inference(resolve,[status(thm)],[c_73,c_76]) ).
cnf(c_106,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query73_neg]) ).
cnf(c_109,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[just59]) ).
fof(just15,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
file('theBenchmark.p',just15) ).
cnf(c_119,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
inference(clausify,[status(thm)],[just15]) ).
cnf(c_129,negated_conjecture,
~ mtvisible(c_tptp_member237_mt),
inference(resolve,[status(thm)],[c_79,c_82]) ).
cnf(c_139,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_109,c_106]) ).
cnf(c_140,negated_conjecture,
mtvisible(c_tptp_member237_mt),
inference(resolve,[status(thm)],[c_139,c_119]) ).
cnf(c_138,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_129,c_140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR073+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.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 00:41:29 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 1108323 was started by sandbox on n015,
% 0.10/0.38 % Sun Sep 27 00:41:29 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.39
% 0.10/0.39 % From the command line: assign(max_seconds, 300).
% 0.10/0.41
% 0.10/0.41 % SZS status Theorem for theBenchmark
% 0.10/0.41
% 0.10/0.41 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.10/0.41 % Length of proof is 22.
% 0.10/0.41 % Level of proof is 7.
% 0.10/0.41 % Maximum clause weight is 7.000.
% 0.10/0.41 % Given clauses 19.
% 0.10/0.41
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------