%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR044+3 : 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 : n020.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 0.11s 0.43s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 12 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 37 ~; 25 |; 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 : 25 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_2495,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',ax2_2495) ).
fof(ax2_2496,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('theBenchmark.p',ax2_2496) ).
fof(ax2_5730,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('theBenchmark.p',ax2_5730) ).
fof(ax2_7920,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('theBenchmark.p',ax2_7920) ).
fof(ax2_7997,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax2_7997) ).
fof(ax2_4341,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('theBenchmark.p',ax2_4341) ).
fof(query144,conjecture,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
file('theBenchmark.p',query144) ).
fof(query144_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)],[query144]) ).
cnf(c_22,plain,
( isa(f_relationallexistsfn(A,C,B,D),D)
| ~ relationallexists(C,B,D)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax2_4341]) ).
fof(ax2_19,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('theBenchmark.p',ax2_19) ).
cnf(c_28,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(clausify,[status(thm)],[ax2_19]) ).
fof(ax2_142,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax2_142) ).
cnf(c_29,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax2_142]) ).
cnf(c_32,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)],[ax2_2495]) ).
cnf(c_33,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax2_2496]) ).
fof(ax2_4288,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax2_4288) ).
cnf(c_36,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax2_4288]) ).
cnf(c_37,plain,
( tptpcol_16_29490(A)
| ~ isa(A,c_tptpcol_16_29490) ),
inference(clausify,[status(thm)],[ax2_5730]) ).
cnf(c_41,plain,
( isa(A,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(A) ),
inference(clausify,[status(thm)],[ax2_7920]) ).
cnf(c_43,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax2_7997]) ).
cnf(c_45,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(clausify,[status(thm)],[query144_neg]) ).
cnf(c_46,negated_conjecture,
( ~ tptpcol_16_29490(A)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A) ),
inference(clausify,[status(thm)],[query144_neg]) ).
cnf(c_47,plain,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A)
| ~ isa(A,c_tptpcol_16_29490) ),
inference(resolve,[status(thm)],[c_37,c_46]) ).
cnf(c_71,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ mtvisible(c_cyclistsmt)
| ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(resolve,[status(thm)],[c_47,c_32]) ).
cnf(c_50,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
inference(resolve,[status(thm)],[c_28,c_71]) ).
cnf(c_51,plain,
( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_50,c_22]) ).
cnf(c_52,plain,
( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ genlmt(A,c_cyclistsmt)
| ~ mtvisible(A) ),
inference(resolve,[status(thm)],[c_43,c_51]) ).
cnf(c_72,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3633_mt,A) ),
inference(resolve,[status(thm)],[c_43,c_45]) ).
cnf(c_55,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_72,c_29]) ).
cnf(c_73,plain,
( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_52,c_55]) ).
cnf(c_56,plain,
( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
inference(resolve,[status(thm)],[c_36,c_73]) ).
cnf(c_57,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_33,c_56]) ).
cnf(c_74,plain,
( mtvisible(A)
| ~ genlmt(c_tptp_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_43,c_55]) ).
cnf(c_58,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_74,c_36]) ).
cnf(c_59,plain,
~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(resolve,[status(thm)],[c_58,c_57]) ).
cnf(c_75,plain,
~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(resolve,[status(thm)],[c_41,c_59]) ).
cnf(c_70,plain,
$false,
inference(resolve,[status(thm)],[c_28,c_75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR044+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n020.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 27 00:14:33 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.34 % Process 2846387 was started by sandbox2 on n020,
% 0.07/0.34 % Sun Sep 27 00:14:33 2026
% 0.07/0.34 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.43
% 0.11/0.43 % SInE (scan): 30 to sos (tol 1.5x), 0 to usable (tol 2.0x), 7975 zapped, of 8005 axioms (depth 3).
% 0.11/0.43
% 0.11/0.43 % From the command line: assign(max_seconds, 300).
% 0.11/0.43
% 0.11/0.43 % SZS status Theorem for theBenchmark
% 0.11/0.43
% 0.11/0.43 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.11/0.43 % Length of proof is 28.
% 0.11/0.43 % Level of proof is 9.
% 0.11/0.43 % Maximum clause weight is 121.000.
% 0.11/0.43 % Given clauses 35.
% 0.11/0.43
% 0.11/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------