%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR030+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 : n014.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 0.07s 0.45s
% Output : CNFRefutation 0.07s
% 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(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_7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax2_7997) ).
fof(ax2_1207,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
file('theBenchmark.p',ax2_1207) ).
fof(query130,conjecture,
? [ARG2] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
file('theBenchmark.p',query130) ).
fof(query130_neg,negated_conjecture,
~ ? [ARG2] :
( mtvisible(c_tptp_member3393_mt)
=> tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
inference(assume_negation,[status(cth)],[query130]) ).
cnf(c_37,plain,
( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(clausify,[status(thm)],[ax2_1207]) ).
cnf(c_49,plain,
( tptptypes_5_387(A,B)
| ~ tptptypes_6_388(A,B) ),
inference(clausify,[status(thm)],[ax2_1143]) ).
cnf(c_50,plain,
( tptptypes_6_388(B,A)
| ~ tptptypes_7_389(A,B) ),
inference(clausify,[status(thm)],[ax2_1462]) ).
fof(ax2_2434,axiom,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax2_2434) ).
cnf(c_53,plain,
genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax2_2434]) ).
cnf(c_66,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax2_7997]) ).
cnf(c_68,negated_conjecture,
mtvisible(c_tptp_member3393_mt),
inference(clausify,[status(thm)],[query130_neg]) ).
cnf(c_69,negated_conjecture,
~ tptptypes_5_387(A,c_pushingwithopenhand),
inference(clausify,[status(thm)],[query130_neg]) ).
cnf(c_70,plain,
~ tptptypes_6_388(A,c_pushingwithopenhand),
inference(resolve,[status(thm)],[c_69,c_49]) ).
cnf(c_76,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3393_mt) ),
inference(resolve,[status(thm)],[c_66,c_53]) ).
cnf(c_72,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_68,c_76]) ).
cnf(c_73,plain,
tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451),
inference(resolve,[status(thm)],[c_72,c_37]) ).
cnf(c_74,plain,
~ tptptypes_7_389(c_pushingwithopenhand,A),
inference(resolve,[status(thm)],[c_50,c_70]) ).
cnf(c_75,plain,
$false,
inference(resolve,[status(thm)],[c_74,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR030+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.36 % Computer : n014.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Sun Sep 27 00:00:17 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.37 % Process 197589 was started by sandbox on n014,
% 0.07/0.37 % Sun Sep 27 00:00:17 2026
% 0.07/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.07/0.45
% 0.07/0.45 % SInE (scan): 33 to sos (tol 1.5x), 7 to usable (tol 2.0x), 7965 zapped, of 8005 axioms (depth 3).
% 0.07/0.45
% 0.07/0.45 % From the command line: assign(max_seconds, 300).
% 0.07/0.45
% 0.07/0.45 % SZS status Theorem for theBenchmark
% 0.07/0.45
% 0.07/0.45 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.07/0.45 % Length of proof is 17.
% 0.07/0.45 % Level of proof is 4.
% 0.07/0.45 % Maximum clause weight is 111.000.
% 0.07/0.45 % Given clauses 11.
% 0.07/0.45
% 0.07/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------