%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR044+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 : Thu Sep 24 12:16:10 PM UTC 2026
% Result : Theorem 0.18s 0.51s
% Output : CNFRefutation 0.18s
% 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(query94,conjecture,
? [X13] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X13)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query94) ).
fof(ax1_1123,axiom,
! [X20,X21] :
( ( genlmt(X20,X21)
& mtvisible(X20) )
=> 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_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(ax1_164,axiom,
! [X7] :
( ( executionbyfiringsquad(X7)
& mtvisible(c_cyclistsmt) )
=> 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_254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).
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_297,axiom,
! [X7,X8,X3,X9] :
( ( relationallexists(X3,X8,X9)
& isa(X7,X8) )
=> 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_94,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_94) ).
fof(c_0_10,negated_conjecture,
~ ? [X13] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptpcol_16_29490(X13)
& tptp_9_720(c_tptpexecutionbyfiringsquad_90,X13) ) ),
inference(assume_negation,[status(cth)],[query94]) ).
fof(c_0_11,plain,
! [X30,X31] :
( mtvisible(X31)
| ~ genlmt(X30,X31)
| ~ mtvisible(X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1123])])]) ).
fof(c_0_12,negated_conjecture,
! [X22] :
( ( ~ tptpcol_16_29490(X22)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X22) )
& mtvisible(c_tptp_member3633_mt) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_13,plain,
( ~ genlmt(X1,X2)
| ~ mtvisible(X1)
| mtvisible(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,
! [X23] :
( tptpcol_16_29490(X23)
| ~ isa(X23,c_tptpcol_16_29490) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_783])])]) ).
fof(c_0_17,plain,
! [X25] :
( tptp_9_720(X25,f_relationallexistsfn(X25,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X25)
| ~ mtvisible(c_cyclistsmt) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_164])])]) ).
cnf(c_0_18,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(split_conjunct,[status(thm)],[ax1_254]) ).
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,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_165])]) ).
cnf(c_0_21,negated_conjecture,
( ~ tptpcol_16_29490(X1)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
( ~ isa(X1,c_tptpcol_16_29490)
| tptpcol_16_29490(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ~ executionbyfiringsquad(X1)
| ~ mtvisible(c_cyclistsmt)
| tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
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,
! [X36,X37,X38,X39] :
( isa(f_relationallexistsfn(X36,X38,X37,X39),X39)
| ~ relationallexists(X38,X37,X39)
| ~ isa(X36,X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_297])])]) ).
cnf(c_0_26,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_27,plain,
! [X65] :
( isa(X65,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X65) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_919])])]) ).
cnf(c_0_28,negated_conjecture,
( ~ isa(X1,c_tptpcol_16_29490)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( ~ executionbyfiringsquad(X1)
| tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
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)],[ax1_94]) ).
cnf(c_0_31,plain,
( ~ relationallexists(X3,X2,X4)
| ~ isa(X1,X2)
| isa(f_relationallexistsfn(X1,X3,X2,X4),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,
( ~ executionbyfiringsquad(X1)
| isa(X1,c_executionbyfiringsquad) ),
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(X1,c_executionbyfiringsquad)
| isa(f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
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
% 0.00/0.03 % Problem : CSR044+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n020.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 21 14:33:34 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % Version: 3.5.1
% 0.18/0.51 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.18/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.18/0.51 % Starting new_bool_3 with 600s (2) cores
% 0.18/0.51 % Starting new_bool_1 with 600s (2) cores
% 0.18/0.51 % Starting sh5l with 300s (1) cores
% 0.18/0.51 % sh5l with pid 3178206 completed with status 0
% 0.18/0.51 % Result found by sh5l
% 0.18/0.51 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.18/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.18/0.51 % Starting new_bool_3 with 600s (2) cores
% 0.18/0.51 % Starting new_bool_1 with 600s (2) cores
% 0.18/0.51 % Starting sh5l with 300s (1) cores
% 0.18/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.18/0.51 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.51 % Search class: FHHNM-FFMM31-SFFFFFNN
% 0.18/0.51 % partial match(1): FHHNM-FFMM33-SFFFFFNN
% 0.18/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.51 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.51 % SubtermCWHack with pid 3178211 completed with status 0
% 0.18/0.51 % Result found by SubtermCWHack
% 0.18/0.51 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.18/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.18/0.51 % Starting new_bool_3 with 600s (2) cores
% 0.18/0.51 % Starting new_bool_1 with 600s (2) cores
% 0.18/0.51 % Starting sh5l with 300s (1) cores
% 0.18/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.18/0.51 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.51 % Search class: FHHNM-FFMM31-SFFFFFNN
% 0.18/0.51 % partial match(1): FHHNM-FFMM33-SFFFFFNN
% 0.18/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.51 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.51 % Preprocessing time : 0.005 s
% 0.18/0.51
% 0.18/0.51 % Proof found!
% 0.18/0.51 % SZS status Theorem
% 0.18/0.51 % SZS output start CNFRefutation
% See solution above
% 0.18/0.51 % Parsed axioms : 1132
% 0.18/0.51 % Removed by relevancy pruning/SinE : 930
% 0.18/0.51 % Initial clauses : 203
% 0.18/0.51 % Removed in clause preprocessing : 0
% 0.18/0.51 % Initial clauses in saturation : 203
% 0.18/0.51 % Processed clauses : 478
% 0.18/0.51 % ...of these trivial : 3
% 0.18/0.51 % ...subsumed : 42
% 0.18/0.51 % ...remaining for further processing : 433
% 0.18/0.51 % Other redundant clauses eliminated : 0
% 0.18/0.51 % Clauses deleted for lack of memory : 0
% 0.18/0.51 % Backward-subsumed : 1
% 0.18/0.51 % Backward-rewritten : 23
% 0.18/0.51 % Generated clauses : 391
% 0.18/0.51 % ...of the previous two non-redundant : 279
% 0.18/0.51 % ...aggressively subsumed : 0
% 0.18/0.51 % Contextual simplify-reflections : 0
% 0.18/0.51 % Paramodulations : 391
% 0.18/0.51 % Factorizations : 0
% 0.18/0.51 % NegExts : 0
% 0.18/0.51 % Equation resolutions : 0
% 0.18/0.51 % Disequality decompositions : 0
% 0.18/0.51 % Total rewrite steps : 152
% 0.18/0.51 % ...of those cached : 93
% 0.18/0.51 % Propositional unsat checks : 0
% 0.18/0.51 % Propositional check models : 0
% 0.18/0.51 % Propositional check unsatisfiable : 0
% 0.18/0.51 % Propositional clauses : 0
% 0.18/0.51 % Propositional clauses after purity: 0
% 0.18/0.51 % Propositional unsat core size : 0
% 0.18/0.51 % Propositional preprocessing time : 0.000
% 0.18/0.51 % Propositional encoding time : 0.000
% 0.18/0.51 % Propositional solver time : 0.000
% 0.18/0.51 % Success case prop preproc time : 0.000
% 0.18/0.51 % Success case prop encoding time : 0.000
% 0.18/0.51 % Success case prop solver time : 0.000
% 0.18/0.51 % Current number of processed clauses : 409
% 0.18/0.51 % Positive orientable unit clauses : 180
% 0.18/0.51 % Positive unorientable unit clauses: 0
% 0.18/0.51 % Negative unit clauses : 3
% 0.18/0.51 % Non-unit-clauses : 226
% 0.18/0.51 % Current number of unprocessed clauses: 3
% 0.18/0.51 % ...number of literals in the above : 9
% 0.18/0.51 % Current number of archived formulas : 0
% 0.18/0.51 % Current number of archived clauses : 24
% 0.18/0.51 % Clause-clause subsumption calls (NU) : 10497
% 0.18/0.51 % Rec. Clause-clause subsumption calls : 10025
% 0.18/0.51 % Non-unit clause-clause subsumptions : 43
% 0.18/0.51 % Unit Clause-clause subsumption calls : 885
% 0.18/0.51 % Rewrite failures with RHS unbound : 0
% 0.18/0.51 % BW rewrite match attempts : 7
% 0.18/0.51 % BW rewrite match successes : 7
% 0.18/0.51 % Condensation attempts : 0
% 0.18/0.51 % Condensation successes : 0
% 0.18/0.51 % Termbank termtop insertions : 20269
% 0.18/0.51 % Search garbage collected termcells : 4920
% 0.18/0.51
% 0.18/0.51 % -------------------------------------------------
% 0.18/0.51 % User time : 0.033 s
% 0.18/0.51 % System time : 0.009 s
% 0.18/0.51 % Total time : 0.042 s
% 0.18/0.51 % Maximum resident set size: 6348 pages
% 0.18/0.51
% 0.18/0.51 % -------------------------------------------------
% 0.18/0.51 % User time : 0.051 s
% 0.18/0.51 % System time : 0.014 s
% 0.18/0.51 % Total time : 0.065 s
% 0.18/0.51 % Maximum resident set size: 5888 pages
% 0.18/0.51 % E exiting
%------------------------------------------------------------------------------