%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR044+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.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 4.14s 3.13s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 26 ~; 22 |; 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 : 33 ( 0 sgn 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query94,conjecture,
? [X13] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X13)
& tptpcol_16_29490(X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query94) ).
fof(ax1_1123,axiom,
! [X20,X21] :
( ( mtvisible(X20)
& genlmt(X20,X21) )
=> mtvisible(X21) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
fof(ax1_243,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_243) ).
fof(ax1_165,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_165) ).
fof(ax1_254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).
fof(ax1_297,axiom,
! [X7,X8,X3,X9] :
( ( isa(X7,X8)
& relationallexists(X3,X8,X9) )
=> isa(f_relationallexistsfn(X7,X3,X8,X9),X9) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_297) ).
fof(ax1_919,axiom,
! [X13] :
( executionbyfiringsquad(X13)
=> isa(X13,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_919) ).
fof(ax1_164,axiom,
! [X7] :
( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(X7) )
=> tptp_9_720(X7,f_relationallexistsfn(X7,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_164) ).
fof(ax1_94,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_94) ).
fof(ax1_783,axiom,
! [X13] :
( isa(X13,c_tptpcol_16_29490)
=> tptpcol_16_29490(X13) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_783) ).
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)],[query94]) ).
fof(c_0_11,plain,
! [X2250,X2251] :
( ~ mtvisible(X2250)
| ~ genlmt(X2250,X2251)
| mtvisible(X2251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1123])]) ).
fof(c_0_12,negated_conjecture,
! [X2265] :
( mtvisible(c_tptp_member3633_mt)
& ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X2265)
| ~ tptpcol_16_29490(X2265) ) ),
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)],[ax1_243]) ).
cnf(c_0_15,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(fof_nnf,[status(thm)],[ax1_165]) ).
cnf(c_0_17,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(split_conjunct,[status(thm)],[ax1_254]) ).
cnf(c_0_18,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_19,plain,
! [X1271,X1272,X1273,X1274] :
( ~ isa(X1271,X1272)
| ~ relationallexists(X1273,X1272,X1274)
| isa(f_relationallexistsfn(X1271,X1273,X1272,X1274),X1274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_297])]) ).
cnf(c_0_20,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
mtvisible(c_cyclistsmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_18])]) ).
fof(c_0_22,plain,
! [X1947] :
( ~ executionbyfiringsquad(X1947)
| isa(X1947,c_executionbyfiringsquad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_919])]) ).
fof(c_0_23,plain,
! [X1216] :
( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X1216)
| tptp_9_720(X1216,f_relationallexistsfn(X1216,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_164])]) ).
cnf(c_0_24,plain,
( isa(f_relationallexistsfn(X1,X3,X2,X4),X4)
| ~ isa(X1,X2)
| ~ relationallexists(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
cnf(c_0_26,plain,
( isa(X1,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(split_conjunct,[status(thm)],[ax1_94]) ).
cnf(c_0_28,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_23]) ).
fof(c_0_29,plain,
! [X1754] :
( ~ isa(X1754,c_tptpcol_16_29490)
| tptpcol_16_29490(X1754) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_783])]) ).
cnf(c_0_30,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_24,c_0_25]) ).
cnf(c_0_31,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
| ~ tptpcol_16_29490(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,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_28,c_0_21])]) ).
cnf(c_0_34,plain,
( tptpcol_16_29490(X1)
| ~ isa(X1,c_tptpcol_16_29490) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_27])]) ).
cnf(c_0_37,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CSR044+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n027.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 16:33:20 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.21/0.36 % start to proof: theBenchmark
% 4.14/3.13 % Version : CSE_E---1.7
% 4.14/3.13 % Problem : theBenchmark.p
% 4.14/3.13 % SZS status Theorem for theBenchmark.p
% 4.14/3.13 % SZS output start CNFRefutation
% See solution above
% 4.14/3.14 % Total time : 2.483s
%------------------------------------------------------------------------------