%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR062+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 : n016.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 0.13s 0.44s
% Output : CNFRefutation 0.13s
% 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 : 31 ( 15 ~; 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 : 23 ( 4 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_968,axiom,
( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
file('theBenchmark.p',ax2_968) ).
fof(ax2_1143,axiom,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('theBenchmark.p',ax2_1143) ).
fof(ax2_1462,axiom,
! [ARG1,ARG2] :
( tptptypes_7_389(ARG1,ARG2)
=> tptptypes_6_388(ARG2,ARG1) ),
file('theBenchmark.p',ax2_1462) ).
fof(ax2_2531,axiom,
! [ARG1,ARG2] :
( tptptypes_8_390(ARG1,ARG2)
=> tptptypes_7_389(ARG1,ARG2) ),
file('theBenchmark.p',ax2_2531) ).
fof(ax2_7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax2_7997) ).
fof(query162,conjecture,
? [ARG1] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(ARG1,c_pushingwithfingers) ),
file('theBenchmark.p',query162) ).
fof(query162_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(ARG1,c_pushingwithfingers) ),
inference(assume_negation,[status(cth)],[query162]) ).
cnf(c_45,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax2_968]) ).
cnf(c_46,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax2_1143]) ).
cnf(c_47,plain,
( tptptypes_6_388(B,A)
| ~ tptptypes_7_389(A,B) ),
inference(clausify,[status(thm)],[ax2_1462]) ).
fof(ax2_2187,axiom,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax2_2187) ).
cnf(c_50,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax2_2187]) ).
cnf(c_51,plain,
( tptptypes_7_389(A,B)
| ~ tptptypes_8_390(A,B) ),
inference(clausify,[status(thm)],[ax2_2531]) ).
fof(ax2_4288,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax2_4288) ).
cnf(c_54,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax2_4288]) ).
cnf(c_64,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax2_7997]) ).
cnf(c_66,negated_conjecture,
mtvisible(c_tptp_member3205_mt),
inference(clausify,[status(thm)],[query162_neg]) ).
cnf(c_67,negated_conjecture,
~ tptptypes_5_387(A,c_pushingwithfingers),
inference(clausify,[status(thm)],[query162_neg]) ).
cnf(c_69,plain,
~ tptptypes_6_388(A,c_pushingwithfingers),
inference(resolve,[status(thm)],[c_46,c_67]) ).
cnf(c_70,plain,
~ tptptypes_7_389(c_pushingwithfingers,A),
inference(resolve,[status(thm)],[c_69,c_47]) ).
cnf(c_76,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3205_mt) ),
inference(resolve,[status(thm)],[c_64,c_50]) ).
cnf(c_71,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_66,c_76]) ).
cnf(c_72,plain,
~ tptptypes_8_390(c_pushingwithfingers,A),
inference(resolve,[status(thm)],[c_51,c_70]) ).
cnf(c_73,plain,
~ mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_72,c_45]) ).
cnf(c_77,plain,
( mtvisible(A)
| ~ genlmt(c_tptp_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_64,c_71]) ).
cnf(c_78,plain,
~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(resolve,[status(thm)],[c_77,c_73]) ).
cnf(c_75,plain,
$false,
inference(resolve,[status(thm)],[c_54,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR062+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 00:34:15 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 2058991 was started by sandbox on n016,
% 0.09/0.36 % Sun Sep 27 00:34:15 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.44
% 0.13/0.44 % SInE (scan): 35 to sos (tol 1.5x), 5 to usable (tol 2.0x), 7965 zapped, of 8005 axioms (depth 3).
% 0.13/0.44
% 0.13/0.44 % From the command line: assign(max_seconds, 300).
% 0.13/0.44
% 0.13/0.44 % SZS status Theorem for theBenchmark
% 0.13/0.44
% 0.13/0.44 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.13/0.44 % Length of proof is 21.
% 0.13/0.44 % Level of proof is 6.
% 0.13/0.44 % Maximum clause weight is 111.000.
% 0.13/0.44 % Given clauses 20.
% 0.13/0.44
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------