%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR062+2 : 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 : n007.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 3.37s 1.19s
% Output : CNFRefutation 3.37s
% 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 : 22 ( 4 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_61,axiom,
! [ARG1,ARG2] :
( tptptypes_8_390(ARG1,ARG2)
=> tptptypes_7_389(ARG1,ARG2) ),
file('theBenchmark.p',ax1_61) ).
fof(ax1_99,axiom,
! [ARG1,ARG2] :
( tptptypes_6_388(ARG1,ARG2)
=> tptptypes_5_387(ARG1,ARG2) ),
file('theBenchmark.p',ax1_99) ).
fof(ax1_302,axiom,
! [ARG1,ARG2] :
( tptptypes_7_389(ARG1,ARG2)
=> tptptypes_6_388(ARG2,ARG1) ),
file('theBenchmark.p',ax1_302) ).
fof(ax1_460,axiom,
( mtvisible(c_cyclistsmt)
=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
file('theBenchmark.p',ax1_460) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query112,conjecture,
? [ARG1] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(ARG1,c_pushingwithfingers) ),
file('theBenchmark.p',query112) ).
fof(query112_neg,negated_conjecture,
~ ? [ARG1] :
( mtvisible(c_tptp_member3205_mt)
=> tptptypes_5_387(ARG1,c_pushingwithfingers) ),
inference(assume_negation,[status(cth)],[query112]) ).
fof(ax1_34,axiom,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax1_34) ).
cnf(c_1948,plain,
genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax1_34]) ).
cnf(c_1949,plain,
( tptptypes_7_389(A,B)
| ~ tptptypes_8_390(A,B) ),
inference(clausify,[status(thm)],[ax1_61]) ).
cnf(c_1950,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax1_99]) ).
fof(ax1_254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax1_254) ).
cnf(c_1955,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax1_254]) ).
cnf(c_1956,plain,
( tptptypes_6_388(B,A)
| ~ tptptypes_7_389(A,B) ),
inference(clausify,[status(thm)],[ax1_302]) ).
cnf(c_1959,plain,
( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax1_460]) ).
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_member3205_mt),
inference(clausify,[status(thm)],[query112_neg]) ).
cnf(c_1989,negated_conjecture,
~ tptptypes_5_387(A,c_pushingwithfingers),
inference(clausify,[status(thm)],[query112_neg]) ).
cnf(c_1992,plain,
~ tptptypes_6_388(A,c_pushingwithfingers),
inference(resolve,[status(thm)],[c_1989,c_1950]) ).
cnf(c_2022,plain,
~ tptptypes_7_389(c_pushingwithfingers,A),
inference(resolve,[status(thm)],[c_1956,c_1992]) ).
cnf(c_2141,plain,
~ tptptypes_8_390(c_pushingwithfingers,A),
inference(resolve,[status(thm)],[c_2022,c_1949]) ).
cnf(c_2142,plain,
~ mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_2141,c_1959]) ).
cnf(c_2508,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolve,[status(thm)],[c_1986,c_1955]) ).
cnf(c_2505,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_2142,c_2508]) ).
cnf(c_2509,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3205_mt) ),
inference(resolve,[status(thm)],[c_1986,c_1948]) ).
cnf(c_2510,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_1988,c_2509]) ).
cnf(c_2507,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_2505,c_2510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR062+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n007.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 27 00:26:25 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.45 % Process 834940 was started by sandbox2 on n007,
% 0.17/0.45 % Sun Sep 27 00:26:25 2026
% 0.17/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.39/0.68
% 0.39/0.68 % From the command line: assign(max_seconds, 300).
% 0.39/0.68
% 0.39/0.68 % SInE: 40 to sos, 1091 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 3.37/1.19
% 3.37/1.19 % SZS status Theorem for theBenchmark
% 3.37/1.19
% 3.37/1.19 % Proof 1 at 0.37 (+ 0.07) seconds.
% 3.37/1.19 % Length of proof is 21.
% 3.37/1.19 % Level of proof is 7.
% 3.37/1.19 % Maximum clause weight is 111.000.
% 3.37/1.19 % Given clauses 153.
% 3.37/1.19
% 3.37/1.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------