%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR030+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 : n013.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 07:06:38 AM UTC 2026
% Result : Theorem 0.84s 0.81s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% 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 : 23 ( 10 ~; 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 : 17 ( 3 sgn 6 !; 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_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(ax3_20186,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('theBenchmark.p',ax3_20186) ).
fof(query180,conjecture,
? [ARG2] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
file('theBenchmark.p',query180) ).
fof(query180_neg,negated_conjecture,
~ ? [ARG2] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(assume_negation,[status(cth)],[query180]) ).
cnf(c_44,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[ax3_20186]) ).
cnf(c_60,plain,
( tptptypes_6_388(B,A)
| ~ tptptypes_7_389(A,B) ),
inference(clausify,[status(thm)],[ax3_6493]) ).
cnf(c_62,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax3_11372]) ).
fof(ax3_14388,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax3_14388) ).
cnf(c_63,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax3_14388]) ).
cnf(c_77,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax3_44208]) ).
cnf(c_79,negated_conjecture,
mtvisible(c_tptp_member3393_mt),
inference(clausify,[status(thm)],[query180_neg]) ).
cnf(c_80,negated_conjecture,
~ tptptypes_5_387(A,c_pushingwithopenhand),
inference(clausify,[status(thm)],[query180_neg]) ).
cnf(c_82,plain,
~ tptptypes_6_388(A,c_pushingwithopenhand),
inference(resolve,[status(thm)],[c_62,c_80]) ).
cnf(c_89,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt) ),
inference(resolve,[status(thm)],[c_77,c_63]) ).
cnf(c_83,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_79,c_89]) ).
cnf(c_85,plain,
tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451),
inference(resolve,[status(thm)],[c_83,c_44]) ).
cnf(c_87,plain,
~ tptptypes_7_389(c_pushingwithopenhand,A),
inference(resolve,[status(thm)],[c_82,c_60]) ).
cnf(c_88,plain,
$false,
inference(resolve,[status(thm)],[c_87,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR030+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n013.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 00:00:56 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 3849408 was started by sandbox2 on n013,
% 0.09/0.38 % Sun Sep 27 00:00:56 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.84/0.81
% 0.84/0.81 % SInE (scan): 37 to sos (tol 1.5x), 8 to usable (tol 2.0x), 44171 zapped, of 44216 axioms (depth 3).
% 0.84/0.81
% 0.84/0.81 % From the command line: assign(max_seconds, 300).
% 0.84/0.81
% 0.84/0.81 % SZS status Theorem for theBenchmark
% 0.84/0.81
% 0.84/0.81 % Proof 1 at 0.03 (+ 0.05) seconds.
% 0.84/0.81 % Length of proof is 17.
% 0.84/0.81 % Level of proof is 4.
% 0.84/0.81 % Maximum clause weight is 111.000.
% 0.84/0.81 % Given clauses 15.
% 0.84/0.81
% 0.84/0.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------