%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR044+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 : n007.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 5.86s 1.56s
% Output : CNFRefutation 5.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 23 ~; 17 |; 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 : 26 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_164,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',ax1_164) ).
fof(ax1_165,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('theBenchmark.p',ax1_165) ).
fof(ax1_297,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('theBenchmark.p',ax1_297) ).
fof(ax1_783,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('theBenchmark.p',ax1_783) ).
fof(ax1_919,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('theBenchmark.p',ax1_919) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('theBenchmark.p',ax1_1123) ).
fof(query94,conjecture,
? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X) ) ),
file('theBenchmark.p',query94) ).
fof(query94_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)],[query94]) ).
fof(ax1_94,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('theBenchmark.p',ax1_94) ).
cnf(c_1302,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(clausify,[status(thm)],[ax1_94]) ).
cnf(c_1344,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)],[ax1_164]) ).
cnf(c_1345,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(clausify,[status(thm)],[ax1_165]) ).
fof(ax1_243,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('theBenchmark.p',ax1_243) ).
cnf(c_1399,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(clausify,[status(thm)],[ax1_243]) ).
fof(ax1_254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('theBenchmark.p',ax1_254) ).
cnf(c_1403,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(clausify,[status(thm)],[ax1_254]) ).
cnf(c_1429,plain,
( isa(f_relationallexistsfn(A,C,B,D),D)
| ~ relationallexists(C,B,D)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax1_297]) ).
cnf(c_1728,plain,
( tptpcol_16_29490(A)
| ~ isa(A,c_tptpcol_16_29490) ),
inference(clausify,[status(thm)],[ax1_783]) ).
cnf(c_1815,plain,
( isa(A,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(A) ),
inference(clausify,[status(thm)],[ax1_919]) ).
cnf(c_1957,plain,
( mtvisible(B)
| ~ genlmt(A,B)
| ~ mtvisible(A) ),
inference(clausify,[status(thm)],[ax1_1123]) ).
cnf(c_1962,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(clausify,[status(thm)],[query94_neg]) ).
cnf(c_1963,negated_conjecture,
( ~ tptpcol_16_29490(A)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A) ),
inference(clausify,[status(thm)],[query94_neg]) ).
cnf(c_2128,plain,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,A)
| ~ isa(A,c_tptpcol_16_29490) ),
inference(resolve,[status(thm)],[c_1728,c_1963]) ).
cnf(c_3708,negated_conjecture,
( mtvisible(A)
| ~ genlmt(c_tptp_member3633_mt,A) ),
inference(resolve,[status(thm)],[c_1957,c_1962]) ).
cnf(c_2134,negated_conjecture,
mtvisible(c_tptp_spindleheadmt),
inference(resolve,[status(thm)],[c_3708,c_1399]) ).
cnf(c_3709,plain,
( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_1344,c_2128]) ).
cnf(c_2152,plain,
( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolve,[status(thm)],[c_1302,c_3709]) ).
cnf(c_3710,plain,
( mtvisible(A)
| ~ genlmt(c_tptp_spindleheadmt,A) ),
inference(resolve,[status(thm)],[c_1957,c_2134]) ).
cnf(c_2154,plain,
mtvisible(c_cyclistsmt),
inference(resolve,[status(thm)],[c_3710,c_1403]) ).
cnf(c_2156,plain,
~ 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_2154,c_2152]) ).
cnf(c_2159,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(resolve,[status(thm)],[c_2154,c_1345]) ).
cnf(c_2331,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(resolve,[status(thm)],[c_1815,c_1302]) ).
cnf(c_3711,plain,
( isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,A,c_executionbyfiringsquad,B),B)
| ~ relationallexists(A,c_executionbyfiringsquad,B) ),
inference(resolve,[status(thm)],[c_1429,c_2331]) ).
cnf(c_3712,plain,
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_3711,c_2159]) ).
cnf(c_3707,plain,
$false,
inference(resolve,[status(thm)],[c_2156,c_3712]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR044+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n007.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 00:11:39 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.44 % Process 803374 was started by sandbox2 on n007,
% 0.18/0.44 % Sun Sep 27 00:11:39 2026
% 0.18/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.41/0.67
% 0.41/0.67 % From the command line: assign(max_seconds, 300).
% 0.41/0.67
% 0.41/0.67 % SInE: 741 to sos, 390 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 5.86/1.56
% 5.86/1.56 % given #500 (F,wt=5): 2774 -disjointwith(c_runningshorts,c_tptpcol_15_130931) | -tptpcol_15_130931(c_tptprunningshorts). [resolve(2194,a,1083,b)].
% 5.86/1.56
% 5.86/1.56 % given #1000 (W,wt=3): 3184 genlmt(c_tptp_member2831_mt,c_worldgeographymt). [ur(1960,a,2826,a,b,2806,a)].
% 5.86/1.56
% 5.86/1.56 % SZS status Theorem for theBenchmark
% 5.86/1.56
% 5.86/1.56 % Proof 1 at 0.66 (+ 0.13) seconds.
% 5.86/1.56 % Length of proof is 26.
% 5.86/1.56 % Level of proof is 5.
% 5.86/1.56 % Maximum clause weight is 114.000.
% 5.86/1.56 % Given clauses 1370.
% 5.86/1.56
% 5.86/1.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------