%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : COM023+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:12:22 PM UTC 2026
% Result : Theorem 0.28s 0.68s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 44 ( 4 avg)
% Number of connectives : 201 ( 86 ~; 89 |; 22 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-4 aty)
% Number of variables : 37 ( 0 sgn 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
isConfluent0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mCRDef,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( sdtmndtasgtdt0(X2,X1,X4)
& sdtmndtasgtdt0(X2,X1,X3)
& aElement0(X4)
& aElement0(X3)
& aElement0(X2) )
=> ? [X5] :
( sdtmndtasgtdt0(X4,X1,X5)
& sdtmndtasgtdt0(X3,X1,X5)
& aElement0(X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCRDef) ).
fof(m__715,hypothesis,
! [X1,X2,X3] :
( ( sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X1,xR,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ? [X4] :
( sdtmndtasgtdt0(X3,xR,X4)
& sdtmndtasgtdt0(X2,xR,X4)
& aElement0(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__715) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(c_0_4,negated_conjecture,
~ isConfluent0(xR),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
~ isConfluent0(xR),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X32,X33,X34,X35,X40] :
( ( ~ aRewritingSystem0(X32)
| isConfluent0(X32)
| ~ sdtmndtasgtdt0(esk5_1(X32),X32,X40)
| ~ sdtmndtasgtdt0(esk4_1(X32),X32,X40)
| ~ aElement0(X40) )
& ( ~ aRewritingSystem0(X32)
| isConfluent0(X32)
| sdtmndtasgtdt0(esk3_1(X32),X32,esk5_1(X32)) )
& ( ~ aRewritingSystem0(X32)
| isConfluent0(X32)
| sdtmndtasgtdt0(esk3_1(X32),X32,esk4_1(X32)) )
& ( ~ aRewritingSystem0(X32)
| isConfluent0(X32)
| aElement0(esk5_1(X32)) )
& ( ~ aRewritingSystem0(X32)
| isConfluent0(X32)
| aElement0(esk4_1(X32)) )
& ( ~ aRewritingSystem0(X32)
| isConfluent0(X32)
| aElement0(esk3_1(X32)) )
& ( ~ aRewritingSystem0(X32)
| ~ isConfluent0(X32)
| ~ sdtmndtasgtdt0(X33,X32,X35)
| ~ sdtmndtasgtdt0(X33,X32,X34)
| ~ aElement0(X35)
| ~ aElement0(X34)
| ~ aElement0(X33)
| sdtmndtasgtdt0(X35,X32,esk2_4(X32,X33,X34,X35)) )
& ( ~ aRewritingSystem0(X32)
| ~ isConfluent0(X32)
| ~ sdtmndtasgtdt0(X33,X32,X35)
| ~ sdtmndtasgtdt0(X33,X32,X34)
| ~ aElement0(X35)
| ~ aElement0(X34)
| ~ aElement0(X33)
| sdtmndtasgtdt0(X34,X32,esk2_4(X32,X33,X34,X35)) )
& ( ~ aRewritingSystem0(X32)
| ~ isConfluent0(X32)
| ~ sdtmndtasgtdt0(X33,X32,X35)
| ~ sdtmndtasgtdt0(X33,X32,X34)
| ~ aElement0(X35)
| ~ aElement0(X34)
| ~ aElement0(X33)
| aElement0(esk2_4(X32,X33,X34,X35)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCRDef])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ isConfluent0(xR),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
fof(c_0_8,hypothesis,
! [X64,X65,X66] :
( ( ~ sdtmndtasgtdt0(X64,xR,X66)
| ~ sdtmndtasgtdt0(X64,xR,X65)
| ~ aElement0(X66)
| ~ aElement0(X65)
| ~ aElement0(X64)
| sdtmndtasgtdt0(X66,xR,esk14_3(X64,X65,X66)) )
& ( ~ sdtmndtasgtdt0(X64,xR,X66)
| ~ sdtmndtasgtdt0(X64,xR,X65)
| ~ aElement0(X66)
| ~ aElement0(X65)
| ~ aElement0(X64)
| sdtmndtasgtdt0(X65,xR,esk14_3(X64,X65,X66)) )
& ( ~ sdtmndtasgtdt0(X64,xR,X66)
| ~ sdtmndtasgtdt0(X64,xR,X65)
| ~ aElement0(X66)
| ~ aElement0(X65)
| ~ aElement0(X64)
| aElement0(esk14_3(X64,X65,X66)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__715])])])])]) ).
cnf(c_0_9,plain,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| aElement0(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_11,negated_conjecture,
~ isConfluent0(xR),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ aRewritingSystem0(X2)
| ~ sdtmndtasgtdt0(esk5_1(X2),X2,X1)
| ~ sdtmndtasgtdt0(esk4_1(X2),X2,X1)
| ~ aElement0(X1)
| isConfluent0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,hypothesis,
( ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X1,xR,esk14_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,hypothesis,
aElement0(esk5_1(xR)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_15,plain,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| aElement0(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,hypothesis,
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(esk14_3(X1,X2,esk5_1(xR)))
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,esk5_1(xR))
| ~ sdtmndtasgtdt0(esk4_1(xR),xR,esk14_3(X1,X2,esk5_1(xR))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_10]),c_0_14])]),c_0_11]) ).
cnf(c_0_17,hypothesis,
( ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X1,xR,esk14_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,hypothesis,
aElement0(esk4_1(xR)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_10]),c_0_11]) ).
cnf(c_0_19,hypothesis,
( ~ aElement0(X1)
| ~ aElement0(esk14_3(X1,esk4_1(xR),esk5_1(xR)))
| ~ sdtmndtasgtdt0(X1,xR,esk4_1(xR))
| ~ sdtmndtasgtdt0(X1,xR,esk5_1(xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_14])]) ).
cnf(c_0_20,hypothesis,
( ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| aElement0(esk14_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| sdtmndtasgtdt0(esk3_1(X1),X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,plain,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| sdtmndtasgtdt0(esk3_1(X1),X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,plain,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| aElement0(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,hypothesis,
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,esk4_1(xR))
| ~ sdtmndtasgtdt0(X1,xR,esk5_1(xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_14]),c_0_18])]) ).
cnf(c_0_25,hypothesis,
sdtmndtasgtdt0(esk3_1(xR),xR,esk5_1(xR)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_10]),c_0_11]) ).
cnf(c_0_26,hypothesis,
sdtmndtasgtdt0(esk3_1(xR),xR,esk4_1(xR)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_10]),c_0_11]) ).
cnf(c_0_27,hypothesis,
aElement0(esk3_1(xR)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_10]),c_0_11]) ).
cnf(c_0_28,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COM023+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.49 % Computer : n006.cluster.edu
% 0.18/0.49 % Model : x86_64 x86_64
% 0.18/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.49 % Memory : 8046.5625MB
% 0.18/0.49 % OS : Linux 6.8.0-71-generic
% 0.18/0.49 % CPULimit : 300
% 0.18/0.49 % WCLimit : 300
% 0.18/0.49 % DateTime : Mon Sep 21 14:15:12 UTC 2026
% 0.18/0.50 % CPUTime :
% 0.18/0.50 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.59 Running first-order theorem proving
% 0.23/0.59 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.28/0.68 % Version: 3.5.1
% 0.28/0.68 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.28/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.68 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.28/0.68 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.68 % Starting new_bool_1 with 300s (1) cores
% 0.28/0.68 % Starting sh5l with 300s (1) cores
% 0.28/0.68 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3051467 completed with status 0
% 0.28/0.68 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.28/0.68 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.28/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.68 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.28/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.28/0.68 % No SInE strategy applied
% 0.28/0.68 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.28/0.68 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.28/0.68 % Starting SubtermCWHack with 136s (1) cores
% 0.28/0.68 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.28/0.68 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.28/0.68 % Starting new_bool_3 with 189s (1) cores
% 0.28/0.68 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.28/0.68 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3051472 completed with status 0
% 0.28/0.68 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.28/0.68 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.28/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.68 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.28/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.28/0.68 % No SInE strategy applied
% 0.28/0.68 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.28/0.68 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.28/0.68 % Starting SubtermCWHack with 136s (1) cores
% 0.28/0.68 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.28/0.68 % Preprocessing time : 0.003 s
% 0.28/0.68 % Presaturation interreduction done
% 0.28/0.68
% 0.28/0.68 % Proof found!
% 0.28/0.68 % SZS status Theorem
% 0.28/0.68 % SZS output start CNFRefutation
% See solution above
% 0.28/0.68 % Parsed axioms : 18
% 0.28/0.68 % Removed by relevancy pruning/SinE : 0
% 0.28/0.68 % Initial clauses : 50
% 0.28/0.68 % Removed in clause preprocessing : 4
% 0.28/0.68 % Initial clauses in saturation : 46
% 0.28/0.68 % Processed clauses : 165
% 0.28/0.68 % ...of these trivial : 0
% 0.28/0.68 % ...subsumed : 10
% 0.28/0.68 % ...remaining for further processing : 155
% 0.28/0.68 % Other redundant clauses eliminated : 1
% 0.28/0.68 % Clauses deleted for lack of memory : 0
% 0.28/0.68 % Backward-subsumed : 5
% 0.28/0.68 % Backward-rewritten : 0
% 0.28/0.68 % Generated clauses : 181
% 0.28/0.68 % ...of the previous two non-redundant : 156
% 0.28/0.68 % ...aggressively subsumed : 0
% 0.28/0.68 % Contextual simplify-reflections : 21
% 0.28/0.68 % Paramodulations : 180
% 0.28/0.68 % Factorizations : 0
% 0.28/0.68 % NegExts : 0
% 0.28/0.68 % Equation resolutions : 1
% 0.28/0.68 % Disequality decompositions : 0
% 0.28/0.68 % Total rewrite steps : 215
% 0.28/0.68 % ...of those cached : 207
% 0.28/0.68 % Propositional unsat checks : 0
% 0.28/0.68 % Propositional check models : 0
% 0.28/0.68 % Propositional check unsatisfiable : 0
% 0.28/0.68 % Propositional clauses : 0
% 0.28/0.68 % Propositional clauses after purity: 0
% 0.28/0.68 % Propositional unsat core size : 0
% 0.28/0.68 % Propositional preprocessing time : 0.000
% 0.28/0.68 % Propositional encoding time : 0.000
% 0.28/0.68 % Propositional solver time : 0.000
% 0.28/0.68 % Success case prop preproc time : 0.000
% 0.28/0.68 % Success case prop encoding time : 0.000
% 0.28/0.68 % Success case prop solver time : 0.000
% 0.28/0.68 % Current number of processed clauses : 103
% 0.28/0.68 % Positive orientable unit clauses : 8
% 0.28/0.68 % Positive unorientable unit clauses: 0
% 0.28/0.68 % Negative unit clauses : 2
% 0.28/0.68 % Non-unit-clauses : 93
% 0.28/0.68 % Current number of unprocessed clauses: 83
% 0.28/0.68 % ...number of literals in the above : 474
% 0.28/0.68 % Current number of archived formulas : 0
% 0.28/0.68 % Current number of archived clauses : 51
% 0.28/0.68 % Clause-clause subsumption calls (NU) : 1809
% 0.28/0.68 % Rec. Clause-clause subsumption calls : 401
% 0.28/0.68 % Non-unit clause-clause subsumptions : 36
% 0.28/0.68 % Unit Clause-clause subsumption calls : 20
% 0.28/0.68 % Rewrite failures with RHS unbound : 0
% 0.28/0.68 % BW rewrite match attempts : 1
% 0.28/0.68 % BW rewrite match successes : 0
% 0.28/0.68 % Condensation attempts : 0
% 0.28/0.68 % Condensation successes : 0
% 0.28/0.68 % Termbank termtop insertions : 10066
% 0.28/0.68 % Search garbage collected termcells : 1152
% 0.28/0.68
% 0.28/0.68 % -------------------------------------------------
% 0.28/0.68 % User time : 0.021 s
% 0.28/0.68 % System time : 0.007 s
% 0.28/0.68 % Total time : 0.028 s
% 0.28/0.68 % Maximum resident set size: 3396 pages
% 0.28/0.68
% 0.28/0.68 % -------------------------------------------------
% 0.28/0.68 % User time : 0.087 s
% 0.28/0.68 % System time : 0.023 s
% 0.28/0.68 % Total time : 0.110 s
% 0.28/0.68 % Maximum resident set size: 4864 pages
% 0.28/0.68 % E exiting
%------------------------------------------------------------------------------