%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR044+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:14:22 PM UTC 2026
% Result : Theorem 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 28 ~; 23 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 34 ( 0 sgn 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query44,conjecture,
? [X13] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X13)
& tptpcol_16_29490(X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query44) ).
fof(just48,axiom,
! [X19,X20] :
( ( mtvisible(X19)
& genlmt(X19,X20) )
=> mtvisible(X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).
fof(just9,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(just31,axiom,
! [X13] :
( isa(X13,c_tptpcol_16_29490)
=> tptpcol_16_29490(X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
fof(just10,axiom,
! [X1] :
( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(X1) )
=> tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
fof(just8,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(just11,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
fof(just1,axiom,
! [X1,X2,X3,X4] :
( ( isa(X1,X2)
& relationallexists(X3,X2,X4) )
=> isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(just34,axiom,
! [X13] :
( executionbyfiringsquad(X13)
=> isa(X13,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
fof(just12,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(c_0_10,negated_conjecture,
~ ? [X13] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X13)
& tptpcol_16_29490(X13) ) ),
inference(assume_negation,[status(cth)],[query44]) ).
fof(c_0_11,plain,
! [X218,X219] :
( ~ mtvisible(X218)
| ~ genlmt(X218,X219)
| mtvisible(X219) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just48])]) ).
fof(c_0_12,negated_conjecture,
! [X261] :
( mtvisible(c_tptp_member3633_mt)
& ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X261)
| ~ tptpcol_16_29490(X261) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_13,plain,
( mtvisible(X2)
| ~ mtvisible(X1)
| ~ genlmt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(split_conjunct,[status(thm)],[just9]) ).
cnf(c_0_15,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X188] :
( ~ isa(X188,c_tptpcol_16_29490)
| tptpcol_16_29490(X188) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just31])]) ).
fof(c_0_17,plain,
! [X146] :
( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X146)
| tptp_9_720(X146,f_relationallexistsfn(X146,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just10])]) ).
cnf(c_0_18,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(split_conjunct,[status(thm)],[just8]) ).
cnf(c_0_19,plain,
mtvisible(c_tptp_spindleheadmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
fof(c_0_20,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(fof_nnf,[status(thm)],[just11]) ).
cnf(c_0_21,negated_conjecture,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
| ~ tptpcol_16_29490(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
( tptpcol_16_29490(X1)
| ~ isa(X1,c_tptpcol_16_29490) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
mtvisible(c_cyclistsmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_19])]) ).
fof(c_0_25,plain,
! [X142,X143,X144,X145] :
( ~ isa(X142,X143)
| ~ relationallexists(X144,X143,X145)
| isa(f_relationallexistsfn(X142,X144,X143,X145),X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just1])]) ).
cnf(c_0_26,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_27,plain,
! [X191] :
( ~ executionbyfiringsquad(X191)
| isa(X191,c_executionbyfiringsquad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just34])]) ).
cnf(c_0_28,negated_conjecture,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
| ~ isa(X1,c_tptpcol_16_29490) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
cnf(c_0_30,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(split_conjunct,[status(thm)],[just12]) ).
cnf(c_0_31,plain,
( isa(f_relationallexistsfn(X1,X3,X2,X4),X4)
| ~ isa(X1,X2)
| ~ relationallexists(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_24])]) ).
cnf(c_0_33,plain,
( isa(X1,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_35,plain,
( isa(f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ isa(X1,c_executionbyfiringsquad) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR044+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n031.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 16:35:08 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Theorem for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.367s
%------------------------------------------------------------------------------