%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR044+4 : 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 : n006.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 07:06:48 AM UTC 2026
% Result : Theorem 0.43s 0.79s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 27 ~; 19 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 30 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_14922,axiom,
! [TERM] :
( ( executionbyfiringsquad(TERM)
& mtvisible(c_cyclistsmt) )
=> tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('theBenchmark.p',ax3_14922) ).
fof(ax3_14923,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('theBenchmark.p',ax3_14923) ).
fof(ax3_35879,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('theBenchmark.p',ax3_35879) ).
fof(ax3_44208,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax3_44208) ).
fof(ax3_26597,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('theBenchmark.p',ax3_26597) ).
fof(ax3_44118,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('theBenchmark.p',ax3_44118) ).
fof(query194,conjecture,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
file('theBenchmark.p',query194) ).
fof(query194_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
inference(assume_negation,[status(cth)],[query194]) ).
cnf(c_55,plain,
( isa(f_relationallexistsfn(A,C,B,D),D)
| ~ relationallexists(C,B,D)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax3_26597]) ).
cnf(c_68,plain,
( isa(A,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(A) ),
inference(clausify,[status(thm)],[ax3_44118]) ).
fof(ax3_51,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('theBenchmark.p',ax3_51) ).
cnf(c_69,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(clausify,[status(thm)],[ax3_51]) ).
fof(ax3_86,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax3_86) ).
cnf(c_70,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax3_86]) ).
fof(ax3_10983,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax3_10983) ).
cnf(c_72,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax3_10983]) ).
cnf(c_73,plain,
( tptp_9_720(A,f_relationallexistsfn(A,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(A)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax3_14922]) ).
cnf(c_74,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax3_14923]) ).
cnf(c_79,plain,
( tptpcol_16_29490(A)
| ~ isa(A,c_tptpcol_16_29490) ),
inference(clausify,[status(thm)],[ax3_35879]) ).
cnf(c_85,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax3_44208]) ).
cnf(c_87,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(clausify,[status(thm)],[query194_neg]) ).
cnf(c_88,negated_conjecture,
( ~ tptpcol_16_29490(A)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A) ),
inference(clausify,[status(thm)],[query194_neg]) ).
cnf(c_92,plain,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A)
| ~ isa(A,c_tptpcol_16_29490) ),
inference(resolve,[status(thm)],[c_79,c_88]) ).
cnf(c_120,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3633_mt,A) ),
inference(resolve,[status(thm)],[c_85,c_87]) ).
cnf(c_93,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_120,c_72]) ).
cnf(c_121,plain,
( mtvisible(A)
| ~ genlmt(c_tptp_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_85,c_93]) ).
cnf(c_94,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_121,c_70]) ).
cnf(c_95,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(resolve,[status(thm)],[c_94,c_74]) ).
cnf(c_96,plain,
( tptp_9_720(A,f_relationallexistsfn(A,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(A) ),
inference(resolve,[status(thm)],[c_94,c_73]) ).
cnf(c_100,plain,
( ~ relationallexists(B,C,c_tptpcol_16_29490)
| ~ isa(A,C)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(A,B,C,c_tptpcol_16_29490)) ),
inference(resolve,[status(thm)],[c_92,c_55]) ).
cnf(c_107,plain,
( ~ isa(A,c_executionbyfiringsquad)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(A,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(resolve,[status(thm)],[c_95,c_100]) ).
cnf(c_112,plain,
( ~ executionbyfiringsquad(A)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(A,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(resolve,[status(thm)],[c_107,c_68]) ).
cnf(c_122,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
inference(resolve,[status(thm)],[c_96,c_112]) ).
cnf(c_123,plain,
~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(copy,[status(thm)],[c_122]) ).
cnf(c_119,plain,
$false,
inference(resolve,[status(thm)],[c_69,c_123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR044+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 00:13:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2417779 was started by sandbox on n006,
% 0.10/0.37 % Sun Sep 27 00:13:25 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.43/0.79
% 0.43/0.79 % SInE (scan): 39 to sos (tol 1.5x), 12 to usable (tol 2.0x), 44165 zapped, of 44216 axioms (depth 3).
% 0.43/0.79
% 0.43/0.79 % From the command line: assign(max_seconds, 300).
% 0.43/0.79
% 0.43/0.79 % SZS status Theorem for theBenchmark
% 0.43/0.79
% 0.43/0.79 % Proof 1 at 0.04 (+ 0.04) seconds.
% 0.43/0.79 % Length of proof is 27.
% 0.43/0.79 % Level of proof is 7.
% 0.43/0.79 % Maximum clause weight is 111.000.
% 0.43/0.79 % Given clauses 34.
% 0.43/0.79
% 0.43/0.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------