%------------------------------------------------------------------------------
% File : E---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 : n005.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 12:11:30 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 214 ( 94 ~; 94 |; 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 : 36 ( 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,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])])])])]) ).
fof(c_0_8,negated_conjecture,
~ isConfluent0(xR),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
cnf(c_0_9,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_10,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_7]) ).
cnf(c_0_11,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_12,negated_conjecture,
~ isConfluent0(xR),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,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_7]) ).
cnf(c_0_14,hypothesis,
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(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(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),c_0_12]),c_0_13]) ).
cnf(c_0_15,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_7]) ).
cnf(c_0_16,hypothesis,
( ~ aElement0(X1)
| ~ aElement0(esk4_1(xR))
| ~ aElement0(esk5_1(xR))
| ~ sdtmndtasgtdt0(X1,xR,esk4_1(xR))
| ~ sdtmndtasgtdt0(X1,xR,esk5_1(xR)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| sdtmndtasgtdt0(esk3_1(X1),X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,hypothesis,
( ~ aElement0(esk3_1(xR))
| ~ aElement0(esk4_1(xR))
| ~ aElement0(esk5_1(xR))
| ~ sdtmndtasgtdt0(esk3_1(xR),xR,esk4_1(xR)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11])]),c_0_12]) ).
cnf(c_0_19,plain,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| sdtmndtasgtdt0(esk3_1(X1),X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,hypothesis,
( ~ aElement0(esk3_1(xR))
| ~ aElement0(esk4_1(xR))
| ~ aElement0(esk5_1(xR)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_11])]),c_0_12]) ).
cnf(c_0_21,plain,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| aElement0(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,hypothesis,
( ~ aElement0(esk3_1(xR))
| ~ aElement0(esk4_1(xR)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11])]),c_0_12]) ).
cnf(c_0_23,plain,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| aElement0(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,hypothesis,
~ aElement0(esk3_1(xR)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_11])]),c_0_12]) ).
cnf(c_0_25,plain,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| aElement0(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_11])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COM023+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 14:15:18 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.18/0.47 % Version: 3.5.1
% 0.18/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 % Starting sh5l with 300s (1) cores
% 0.18/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3701868 completed with status 0
% 0.18/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.47 % No SInE strategy applied
% 0.18/0.47 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.18/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.47 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.18/0.47 % Starting new_bool_3 with 189s (1) cores
% 0.18/0.47 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.18/0.47 % G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with pid 3701877 completed with status 0
% 0.18/0.47 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S0Y
% 0.18/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.47 % No SInE strategy applied
% 0.18/0.47 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.18/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.47 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.18/0.47 % Preprocessing time : 0.002 s
% 0.18/0.47
% 0.18/0.47 % Proof found!
% 0.18/0.47 % SZS status Theorem
% 0.18/0.47 % SZS output start CNFRefutation
% See solution above
% 0.18/0.47 % Parsed axioms : 18
% 0.18/0.47 % Removed by relevancy pruning/SinE : 0
% 0.18/0.47 % Initial clauses : 50
% 0.18/0.47 % Removed in clause preprocessing : 4
% 0.18/0.47 % Initial clauses in saturation : 46
% 0.18/0.47 % Processed clauses : 59
% 0.18/0.47 % ...of these trivial : 0
% 0.18/0.47 % ...subsumed : 2
% 0.18/0.47 % ...remaining for further processing : 57
% 0.18/0.47 % Other redundant clauses eliminated : 1
% 0.18/0.47 % Clauses deleted for lack of memory : 0
% 0.18/0.47 % Backward-subsumed : 3
% 0.18/0.47 % Backward-rewritten : 0
% 0.18/0.47 % Generated clauses : 58
% 0.18/0.47 % ...of the previous two non-redundant : 48
% 0.18/0.47 % ...aggressively subsumed : 0
% 0.18/0.47 % Contextual simplify-reflections : 11
% 0.18/0.47 % Paramodulations : 57
% 0.18/0.47 % Factorizations : 0
% 0.18/0.47 % NegExts : 0
% 0.18/0.47 % Equation resolutions : 1
% 0.18/0.47 % Disequality decompositions : 0
% 0.18/0.47 % Total rewrite steps : 14
% 0.18/0.47 % ...of those cached : 12
% 0.18/0.47 % Propositional unsat checks : 0
% 0.18/0.47 % Propositional check models : 0
% 0.18/0.47 % Propositional check unsatisfiable : 0
% 0.18/0.47 % Propositional clauses : 0
% 0.18/0.47 % Propositional clauses after purity: 0
% 0.18/0.47 % Propositional unsat core size : 0
% 0.18/0.47 % Propositional preprocessing time : 0.000
% 0.18/0.47 % Propositional encoding time : 0.000
% 0.18/0.47 % Propositional solver time : 0.000
% 0.18/0.47 % Success case prop preproc time : 0.000
% 0.18/0.47 % Success case prop encoding time : 0.000
% 0.18/0.47 % Success case prop solver time : 0.000
% 0.18/0.47 % Current number of processed clauses : 53
% 0.18/0.47 % Positive orientable unit clauses : 3
% 0.18/0.47 % Positive unorientable unit clauses: 0
% 0.18/0.47 % Negative unit clauses : 2
% 0.18/0.47 % Non-unit-clauses : 48
% 0.18/0.47 % Current number of unprocessed clauses: 35
% 0.18/0.47 % ...number of literals in the above : 256
% 0.18/0.47 % Current number of archived formulas : 0
% 0.18/0.47 % Current number of archived clauses : 3
% 0.18/0.47 % Clause-clause subsumption calls (NU) : 374
% 0.18/0.47 % Rec. Clause-clause subsumption calls : 79
% 0.18/0.47 % Non-unit clause-clause subsumptions : 15
% 0.18/0.47 % Unit Clause-clause subsumption calls : 7
% 0.18/0.47 % Rewrite failures with RHS unbound : 0
% 0.18/0.47 % BW rewrite match attempts : 0
% 0.18/0.47 % BW rewrite match successes : 0
% 0.18/0.47 % Condensation attempts : 0
% 0.18/0.47 % Condensation successes : 0
% 0.18/0.47 % Termbank termtop insertions : 5994
% 0.18/0.47 % Search garbage collected termcells : 1152
% 0.18/0.47
% 0.18/0.47 % -------------------------------------------------
% 0.18/0.47 % User time : 0.013 s
% 0.18/0.47 % System time : 0.004 s
% 0.18/0.47 % Total time : 0.017 s
% 0.18/0.47 % Maximum resident set size: 3652 pages
% 0.18/0.47
% 0.18/0.47 % -------------------------------------------------
% 0.18/0.47 % User time : 0.046 s
% 0.18/0.47 % System time : 0.015 s
% 0.18/0.47 % Total time : 0.061 s
% 0.18/0.47 % Maximum resident set size: 4864 pages
% 0.18/0.47 % E exiting
%------------------------------------------------------------------------------