%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR073+2 : 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 : n014.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 3.26s 1.36s
% Output : CNFRefutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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 : 31 ( 14 ~; 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 : 28 ( 5 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_99,axiom,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('theBenchmark.p',ax1_99) ).
fof(ax1_108,axiom,
! [ARG1,ARG2] :
( tptptypes_9_401(ARG1,ARG2)
=> tptptypes_8_400(ARG2,ARG1) ),
file('theBenchmark.p',ax1_108) ).
fof(ax1_157,axiom,
( mtvisible(c_tptp_member237_mt)
=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
file('theBenchmark.p',ax1_157) ).
fof(ax1_174,axiom,
! [ARG1,ARG2] :
( tptptypes_8_400(ARG1,ARG2)
=> tptptypes_7_396(ARG1,ARG2) ),
file('theBenchmark.p',ax1_174) ).
fof(ax1_409,axiom,
! [ARG1,ARG2] :
( tptptypes_7_396(ARG1,ARG2)
=> tptptypes_6_388(ARG1,ARG2) ),
file('theBenchmark.p',ax1_409) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query123,conjecture,
? [ARG1] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(ARG1,c_pushingababycarriage) ),
file('theBenchmark.p',query123) ).
fof(query123_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(ARG1,c_pushingababycarriage) ),
inference(assume_negation,[status(cth)],[query123]) ).
cnf(c_1950,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax1_99]) ).
cnf(c_1951,plain,
( tptptypes_8_400(B,A)
| ~ tptptypes_9_401(A,B) ),
inference(clausify,[status(thm)],[ax1_108]) ).
cnf(c_1952,plain,
( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
| ~ mtvisible(c_tptp_member237_mt) ),
inference(clausify,[status(thm)],[ax1_157]) ).
cnf(c_1953,plain,
( tptptypes_7_396(A,B)
| ~ tptptypes_8_400(A,B) ),
inference(clausify,[status(thm)],[ax1_174]) ).
fof(ax1_198,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
file('theBenchmark.p',ax1_198) ).
cnf(c_1954,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
inference(clausify,[status(thm)],[ax1_198]) ).
cnf(c_1957,plain,
( tptptypes_6_388(A,B)
| ~ tptptypes_7_396(A,B) ),
inference(clausify,[status(thm)],[ax1_409]) ).
cnf(c_1986,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax1_1123]) ).
cnf(c_1988,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(clausify,[status(thm)],[query123_neg]) ).
cnf(c_1989,negated_conjecture,
~ tptptypes_5_387(A,c_pushingababycarriage),
inference(clausify,[status(thm)],[query123_neg]) ).
cnf(c_1990,plain,
~ tptptypes_6_388(A,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_1989,c_1950]) ).
cnf(c_2273,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_spindlecollectormt,A) ),
inference(resolve,[status(thm)],[c_1986,c_1988]) ).
cnf(c_2228,negated_conjecture,
mtvisible(c_tptp_member237_mt),
inference(resolve,[status(thm)],[c_2273,c_1954]) ).
cnf(c_2231,plain,
tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258),
inference(resolve,[status(thm)],[c_2228,c_1952]) ).
cnf(c_2268,plain,
~ tptptypes_7_396(A,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_1957,c_1990]) ).
cnf(c_2270,plain,
~ tptptypes_8_400(A,c_pushingababycarriage),
inference(resolve,[status(thm)],[c_2268,c_1953]) ).
cnf(c_2271,plain,
~ tptptypes_9_401(c_pushingababycarriage,A),
inference(resolve,[status(thm)],[c_2270,c_1951]) ).
cnf(c_2272,plain,
$false,
inference(resolve,[status(thm)],[c_2271,c_2231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR073+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.64 % Computer : n014.cluster.edu
% 0.16/0.64 % Model : x86_64 x86_64
% 0.16/0.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.64 % Memory : 8046.5625MB
% 0.16/0.64 % OS : Linux 6.8.0-71-generic
% 0.16/0.64 % CPULimit : 300
% 0.16/0.64 % WCLimit : 300
% 0.16/0.64 % DateTime : Sun Sep 27 00:38:16 UTC 2026
% 0.16/0.64 % CPUTime :
% 0.16/0.64 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.64 % Process 240325 was started by sandbox on n014,
% 0.16/0.64 % Sun Sep 27 00:38:16 2026
% 0.16/0.64 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.21/0.86
% 0.21/0.86 % From the command line: assign(max_seconds, 300).
% 0.21/0.86
% 0.21/0.86 % SInE: 39 to sos, 1092 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 3.26/1.36
% 3.26/1.36 % SZS status Theorem for theBenchmark
% 3.26/1.36
% 3.26/1.36 % Proof 1 at 0.30 (+ 0.08) seconds.
% 3.26/1.36 % Length of proof is 23.
% 3.26/1.36 % Level of proof is 6.
% 3.26/1.36 % Maximum clause weight is 211.000.
% 3.26/1.36 % Given clauses 40.
% 3.26/1.36
% 3.26/1.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------