%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR044+3 : 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 : n006.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 10.66s 7.05s
% Output : CNFRefutation 10.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 12 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 66 ( 29 ~; 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 : 32 ( 0 sgn 19 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query144,conjecture,
? [X15] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X15)
& tptpcol_16_29490(X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query144) ).
fof(ax2_7997,axiom,
! [X21,X22] :
( ( mtvisible(X21)
& genlmt(X21,X22) )
=> mtvisible(X22) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).
fof(ax2_142,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_142) ).
fof(ax2_2495,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/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2495) ).
fof(ax2_2496,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2496) ).
fof(ax2_4288,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_4288) ).
fof(ax2_19,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_19) ).
fof(ax2_5730,axiom,
! [X15] :
( isa(X15,c_tptpcol_16_29490)
=> tptpcol_16_29490(X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_5730) ).
fof(ax2_2981,axiom,
! [X7,X8,X9,X10] :
( ( isa(X7,X8)
& relationallexists(X9,X8,X10) )
=> isa(f_relationallexistsfn(X7,X9,X8,X10),X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2981) ).
fof(ax2_7920,axiom,
! [X15] :
( executionbyfiringsquad(X15)
=> isa(X15,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7920) ).
fof(c_0_10,negated_conjecture,
~ ? [X15] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X15)
& tptpcol_16_29490(X15) ) ),
inference(assume_negation,[status(cth)],[query144]) ).
fof(c_0_11,plain,
! [X11949,X11950] :
( ~ mtvisible(X11949)
| ~ genlmt(X11949,X11950)
| mtvisible(X11950) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7997])]) ).
fof(c_0_12,negated_conjecture,
! [X11964] :
( mtvisible(c_tptp_member3633_mt)
& ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X11964)
| ~ tptpcol_16_29490(X11964) ) ),
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)],[ax2_142]) ).
cnf(c_0_15,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X6716] :
( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X6716)
| tptp_9_720(X6716,f_relationallexistsfn(X6716,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_2495])]) ).
fof(c_0_17,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(fof_nnf,[status(thm)],[ax2_2496]) ).
cnf(c_0_18,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(split_conjunct,[status(thm)],[ax2_4288]) ).
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])]) ).
cnf(c_0_20,negated_conjecture,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
| ~ tptpcol_16_29490(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,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_16]) ).
cnf(c_0_22,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(split_conjunct,[status(thm)],[ax2_19]) ).
fof(c_0_23,plain,
! [X8937] :
( ~ isa(X8937,c_tptpcol_16_29490)
| tptpcol_16_29490(X8937) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_5730])]) ).
fof(c_0_24,plain,
! [X6859,X6860,X6861,X6862] :
( ~ isa(X6859,X6860)
| ~ relationallexists(X6861,X6860,X6862)
| isa(f_relationallexistsfn(X6859,X6861,X6860,X6862),X6862) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_2981])]) ).
cnf(c_0_25,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,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])]) ).
cnf(c_0_27,negated_conjecture,
( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_28,plain,
( tptpcol_16_29490(X1)
| ~ isa(X1,c_tptpcol_16_29490) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( isa(f_relationallexistsfn(X1,X3,X2,X4),X4)
| ~ isa(X1,X2)
| ~ relationallexists(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
fof(c_0_31,plain,
! [X11830] :
( ~ executionbyfiringsquad(X11830)
| isa(X11830,c_executionbyfiringsquad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7920])]) ).
cnf(c_0_32,negated_conjecture,
( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,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_29,c_0_30]) ).
cnf(c_0_34,plain,
( isa(X1,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,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)],[c_0_32,c_0_26])]) ).
cnf(c_0_36,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_33,c_0_34,c_0_35,c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : CSR044+3 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13 % 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
% 0.18/0.35 % Computer : n006.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Mon May 4 16:33:01 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.21/0.36 % start to proof: theBenchmark
% 10.66/7.05 % Version : CSE_E---1.7
% 10.66/7.05 % Problem : theBenchmark.p
% 10.66/7.05 % SZS status Theorem for theBenchmark.p
% 10.66/7.05 % SZS output start CNFRefutation
% See solution above
% 10.66/7.06 % Total time : 6.128s
%------------------------------------------------------------------------------