%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR062+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/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 07:07:01 AM UTC 2026
% Result : Theorem 0.43s 0.80s
% Output : CNFRefutation 0.43s
% 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 : 29 ( 13 ~; 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 : 24 ( 4 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_6493,axiom,
! [ARG1,ARG2] :
( tptptypes_7_389(ARG1,ARG2)
=> tptptypes_6_388(ARG2,ARG1) ),
file('theBenchmark.p',ax3_6493) ).
fof(ax3_10910,axiom,
! [ARG1,ARG2] :
( tptptypes_8_390(ARG1,ARG2)
=> tptptypes_7_389(ARG1,ARG2) ),
file('theBenchmark.p',ax3_10910) ).
fof(ax3_11228,axiom,
( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
file('theBenchmark.p',ax3_11228) ).
fof(ax3_11372,axiom,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('theBenchmark.p',ax3_11372) ).
fof(ax3_44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax3_44208) ).
fof(query212,conjecture,
? [ARG1] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(ARG1,c_pushingwithfingers) ),
file('theBenchmark.p',query212) ).
fof(query212_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(ARG1,c_pushingwithfingers) ),
inference(assume_negation,[status(cth)],[query212]) ).
fof(ax3_86,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax3_86) ).
cnf(c_54,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax3_86]) ).
fof(ax3_6288,axiom,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax3_6288) ).
cnf(c_55,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax3_6288]) ).
cnf(c_56,plain,
( tptptypes_6_388(B,A)
| ~ tptptypes_7_389(A,B) ),
inference(clausify,[status(thm)],[ax3_6493]) ).
cnf(c_58,plain,
( tptptypes_7_389(A,B)
| ~ tptptypes_8_390(A,B) ),
inference(clausify,[status(thm)],[ax3_10910]) ).
cnf(c_59,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax3_11228]) ).
cnf(c_60,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax3_11372]) ).
cnf(c_75,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax3_44208]) ).
cnf(c_77,negated_conjecture,
mtvisible(c_tptp_member3205_mt),
inference(clausify,[status(thm)],[query212_neg]) ).
cnf(c_78,negated_conjecture,
~ tptptypes_5_387(A,c_pushingwithfingers),
inference(clausify,[status(thm)],[query212_neg]) ).
cnf(c_80,plain,
~ tptptypes_6_388(A,c_pushingwithfingers),
inference(resolve,[status(thm)],[c_60,c_78]) ).
cnf(c_82,plain,
~ tptptypes_7_389(c_pushingwithfingers,A),
inference(resolve,[status(thm)],[c_80,c_56]) ).
cnf(c_84,plain,
~ tptptypes_8_390(c_pushingwithfingers,A),
inference(resolve,[status(thm)],[c_82,c_58]) ).
cnf(c_89,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3205_mt,A) ),
inference(resolve,[status(thm)],[c_75,c_77]) ).
cnf(c_85,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_89,c_55]) ).
cnf(c_90,plain,
( mtvisible(A)
| ~ genlmt(c_tptp_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_75,c_85]) ).
cnf(c_86,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_90,c_54]) ).
cnf(c_87,plain,
tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027),
inference(resolve,[status(thm)],[c_59,c_86]) ).
cnf(c_88,plain,
$false,
inference(resolve,[status(thm)],[c_87,c_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR062+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 00:31:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 3001022 was started by sandbox2 on n002,
% 0.11/0.38 % Sun Sep 27 00:31:50 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.43/0.80
% 0.43/0.80 % SInE (scan): 39 to sos (tol 1.5x), 6 to usable (tol 2.0x), 44171 zapped, of 44216 axioms (depth 3).
% 0.43/0.80
% 0.43/0.80 % From the command line: assign(max_seconds, 300).
% 0.43/0.80
% 0.43/0.80 % SZS status Theorem for theBenchmark
% 0.43/0.80
% 0.43/0.80 % Proof 1 at 0.04 (+ 0.04) seconds.
% 0.43/0.80 % Length of proof is 22.
% 0.43/0.80 % Level of proof is 5.
% 0.43/0.80 % Maximum clause weight is 111.000.
% 0.43/0.80 % Given clauses 21.
% 0.43/0.80
% 0.43/0.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------