%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR030+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 : n010.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 07:06:37 AM UTC 2026
% Result : Theorem 6.09s 1.54s
% Output : CNFRefutation 6.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 6 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 18 ( 3 sgn 6 !; 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_302,axiom,
! [ARG1,ARG2] :
( tptptypes_7_389(ARG1,ARG2)
=> tptptypes_6_388(ARG2,ARG1) ),
file('theBenchmark.p',ax1_302) ).
fof(ax1_451,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('theBenchmark.p',ax1_451) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query80,conjecture,
? [ARG2] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
file('theBenchmark.p',query80) ).
fof(query80_neg,negated_conjecture,
~ ? [ARG2] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(assume_negation,[status(cth)],[query80]) ).
cnf(c_1949,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax1_99]) ).
fof(ax1_133,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax1_133) ).
cnf(c_1951,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax1_133]) ).
cnf(c_1956,plain,
( tptptypes_6_388(B,A)
| ~ tptptypes_7_389(A,B) ),
inference(clausify,[status(thm)],[ax1_302]) ).
cnf(c_1958,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[ax1_451]) ).
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_member3393_mt),
inference(clausify,[status(thm)],[query80_neg]) ).
cnf(c_1989,negated_conjecture,
~ tptptypes_5_387(A,c_pushingwithopenhand),
inference(clausify,[status(thm)],[query80_neg]) ).
cnf(c_1990,plain,
~ tptptypes_6_388(A,c_pushingwithopenhand),
inference(resolve,[status(thm)],[c_1989,c_1949]) ).
cnf(c_2020,plain,
~ tptptypes_7_389(c_pushingwithopenhand,A),
inference(resolve,[status(thm)],[c_1956,c_1990]) ).
cnf(c_2021,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_2020,c_1958]) ).
cnf(c_2495,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3393_mt,A) ),
inference(resolve,[status(thm)],[c_1986,c_1988]) ).
cnf(c_2496,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_2495,c_1951]) ).
cnf(c_2494,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_2021,c_2496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR030+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % Computer : n010.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 00:00:46 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.40 % Process 346464 was started by sandbox2 on n010,
% 0.11/0.40 % Sun Sep 27 00:00:46 2026
% 0.11/0.40 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.35/0.62
% 0.35/0.62 % From the command line: assign(max_seconds, 300).
% 0.35/0.62
% 0.35/0.62 % SInE: 40 to sos, 1091 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 6.09/1.54
% 6.09/1.54 % SZS status Theorem for theBenchmark
% 6.09/1.54
% 6.09/1.54 % Proof 1 at 0.67 (+ 0.11) seconds.
% 6.09/1.54 % Length of proof is 16.
% 6.09/1.54 % Level of proof is 5.
% 6.09/1.54 % Maximum clause weight is 111.000.
% 6.09/1.54 % Given clauses 151.
% 6.09/1.54
% 6.09/1.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------