%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM016+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 : n001.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 12:11:28 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 124 ( 4 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 161 ( 65 ~; 73 |; 19 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn 14 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( sdtmndtasgtdt0(X1,xR,xb)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mTCDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X3)
& aRewritingSystem0(X2)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(X1,X2,X3)
<=> ( ? [X4] :
( sdtmndtplgtdt0(X4,X2,X3)
& aReductOfIn0(X4,X1,X2)
& aElement0(X4) )
| aReductOfIn0(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).
fof(m__731_02,hypothesis,
( sdtmndtplgtdt0(xa,xR,xc)
& sdtmndtplgtdt0(xa,xR,xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731_02) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(m__731,hypothesis,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(mTCRDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X3)
& aRewritingSystem0(X2)
& aElement0(X1) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( sdtmndtplgtdt0(X1,X2,X3)
| X1 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
fof(c_0_6,negated_conjecture,
~ ? [X1] :
( sdtmndtasgtdt0(X1,xR,xb)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,plain,
! [X16,X17,X18,X20] :
( ( ~ aElement0(X18)
| ~ aRewritingSystem0(X17)
| ~ aElement0(X16)
| sdtmndtplgtdt0(X16,X17,X18)
| ~ sdtmndtplgtdt0(X20,X17,X18)
| ~ aReductOfIn0(X20,X16,X17)
| ~ aElement0(X20) )
& ( ~ aElement0(X18)
| ~ aRewritingSystem0(X17)
| ~ aElement0(X16)
| sdtmndtplgtdt0(X16,X17,X18)
| ~ aReductOfIn0(X18,X16,X17) )
& ( ~ aElement0(X18)
| ~ aRewritingSystem0(X17)
| ~ aElement0(X16)
| ~ sdtmndtplgtdt0(X16,X17,X18)
| aReductOfIn0(X18,X16,X17)
| sdtmndtplgtdt0(esk1_3(X16,X17,X18),X17,X18) )
& ( ~ aElement0(X18)
| ~ aRewritingSystem0(X17)
| ~ aElement0(X16)
| ~ sdtmndtplgtdt0(X16,X17,X18)
| aReductOfIn0(X18,X16,X17)
| aReductOfIn0(esk1_3(X16,X17,X18),X16,X17) )
& ( ~ aElement0(X18)
| ~ aRewritingSystem0(X17)
| ~ aElement0(X16)
| ~ sdtmndtplgtdt0(X16,X17,X18)
| aReductOfIn0(X18,X16,X17)
| aElement0(esk1_3(X16,X17,X18)) ) ),
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)],[mTCDef])])])])])]) ).
fof(c_0_8,negated_conjecture,
! [X68] :
( ~ sdtmndtasgtdt0(X68,xR,xb)
| ~ aReductOfIn0(X68,xa,xR)
| ~ aElement0(X68) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_9,plain,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| aReductOfIn0(X3,X1,X2)
| aReductOfIn0(esk1_3(X1,X2,X3),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,hypothesis,
sdtmndtplgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[m__731_02]) ).
cnf(c_0_11,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_12,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_13,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_14,plain,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| aReductOfIn0(X3,X1,X2)
| aElement0(esk1_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
! [X25,X26,X27] :
( ( ~ aElement0(X27)
| ~ aRewritingSystem0(X26)
| ~ aElement0(X25)
| sdtmndtasgtdt0(X25,X26,X27)
| ~ sdtmndtplgtdt0(X25,X26,X27) )
& ( ~ aElement0(X27)
| ~ aRewritingSystem0(X26)
| ~ aElement0(X25)
| sdtmndtasgtdt0(X25,X26,X27)
| X25 != X27 )
& ( ~ aElement0(X27)
| ~ aRewritingSystem0(X26)
| ~ aElement0(X25)
| sdtmndtplgtdt0(X25,X26,X27)
| X25 = X27
| ~ sdtmndtasgtdt0(X25,X26,X27) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRDef])])])]) ).
cnf(c_0_16,plain,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| aReductOfIn0(X3,X1,X2)
| sdtmndtplgtdt0(esk1_3(X1,X2,X3),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
( ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ aReductOfIn0(X1,xa,xR)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,hypothesis,
( aReductOfIn0(xb,xa,xR)
| aReductOfIn0(esk1_3(xa,xR,xb),xa,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_19,hypothesis,
( aElement0(esk1_3(xa,xR,xb))
| aReductOfIn0(xb,xa,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_10]),c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_20,plain,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,hypothesis,
( aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(esk1_3(xa,xR,xb),xR,xb) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_10]),c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_22,negated_conjecture,
( ~ sdtmndtasgtdt0(esk1_3(xa,xR,xb),xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_23,hypothesis,
aReductOfIn0(xb,xa,xR),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11]),c_0_12])]),c_0_19]),c_0_22]) ).
cnf(c_0_24,plain,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X1)
| X1 != X2
| sdtmndtasgtdt0(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_23]),c_0_12])]) ).
cnf(c_0_26,plain,
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| sdtmndtasgtdt0(X1,X2,X1) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM016+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 14:20:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.45 % Version: 3.5.1
% 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.45 % Starting sh5l with 300s (1) cores
% 0.11/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3343481 completed with status 0
% 0.11/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.45 % No SInE strategy applied
% 0.11/0.45 % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.11/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.11/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.11/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3343489 completed with status 0
% 0.11/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.45 % No SInE strategy applied
% 0.11/0.45 % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.11/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.45 % Preprocessing time : 0.001 s
% 0.11/0.45 % Presaturation interreduction done
% 0.11/0.45
% 0.11/0.45 % Proof found!
% 0.11/0.45 % SZS status Theorem
% 0.11/0.45 % SZS output start CNFRefutation
% See solution above
% 0.11/0.45 % Parsed axioms : 20
% 0.11/0.45 % Removed by relevancy pruning/SinE : 0
% 0.11/0.45 % Initial clauses : 55
% 0.11/0.45 % Removed in clause preprocessing : 4
% 0.11/0.45 % Initial clauses in saturation : 51
% 0.11/0.45 % Processed clauses : 125
% 0.11/0.45 % ...of these trivial : 0
% 0.11/0.45 % ...subsumed : 1
% 0.11/0.45 % ...remaining for further processing : 124
% 0.11/0.45 % Other redundant clauses eliminated : 1
% 0.11/0.45 % Clauses deleted for lack of memory : 0
% 0.11/0.45 % Backward-subsumed : 0
% 0.11/0.45 % Backward-rewritten : 5
% 0.11/0.45 % Generated clauses : 99
% 0.11/0.45 % ...of the previous two non-redundant : 76
% 0.11/0.45 % ...aggressively subsumed : 0
% 0.11/0.45 % Contextual simplify-reflections : 13
% 0.11/0.45 % Paramodulations : 98
% 0.11/0.45 % Factorizations : 0
% 0.11/0.45 % NegExts : 0
% 0.11/0.45 % Equation resolutions : 1
% 0.11/0.45 % Disequality decompositions : 0
% 0.11/0.45 % Total rewrite steps : 140
% 0.11/0.45 % ...of those cached : 131
% 0.11/0.45 % Propositional unsat checks : 0
% 0.11/0.45 % Propositional check models : 0
% 0.11/0.45 % Propositional check unsatisfiable : 0
% 0.11/0.45 % Propositional clauses : 0
% 0.11/0.45 % Propositional clauses after purity: 0
% 0.11/0.45 % Propositional unsat core size : 0
% 0.11/0.45 % Propositional preprocessing time : 0.000
% 0.11/0.45 % Propositional encoding time : 0.000
% 0.11/0.45 % Propositional solver time : 0.000
% 0.11/0.45 % Success case prop preproc time : 0.000
% 0.11/0.45 % Success case prop encoding time : 0.000
% 0.11/0.45 % Success case prop solver time : 0.000
% 0.11/0.45 % Current number of processed clauses : 67
% 0.11/0.45 % Positive orientable unit clauses : 13
% 0.11/0.45 % Positive unorientable unit clauses: 0
% 0.11/0.45 % Negative unit clauses : 1
% 0.11/0.45 % Non-unit-clauses : 53
% 0.11/0.45 % Current number of unprocessed clauses: 53
% 0.11/0.45 % ...number of literals in the above : 319
% 0.11/0.45 % Current number of archived formulas : 0
% 0.11/0.45 % Current number of archived clauses : 56
% 0.11/0.45 % Clause-clause subsumption calls (NU) : 1256
% 0.11/0.45 % Rec. Clause-clause subsumption calls : 220
% 0.11/0.45 % Non-unit clause-clause subsumptions : 14
% 0.11/0.45 % Unit Clause-clause subsumption calls : 48
% 0.11/0.45 % Rewrite failures with RHS unbound : 0
% 0.11/0.45 % BW rewrite match attempts : 4
% 0.11/0.45 % BW rewrite match successes : 1
% 0.11/0.45 % Condensation attempts : 0
% 0.11/0.45 % Condensation successes : 0
% 0.11/0.45 % Termbank termtop insertions : 7703
% 0.11/0.45 % Search garbage collected termcells : 1172
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.010 s
% 0.11/0.45 % System time : 0.005 s
% 0.11/0.45 % Total time : 0.015 s
% 0.11/0.45 % Maximum resident set size: 3656 pages
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.038 s
% 0.11/0.45 % System time : 0.017 s
% 0.11/0.45 % Total time : 0.055 s
% 0.11/0.45 % Maximum resident set size: 4608 pages
% 0.11/0.45 % E exiting
%------------------------------------------------------------------------------