%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN986+1.002 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 03:31:02 PM UTC 2026
% Result : Theorem 0.17s 10.50s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 44 ( 22 ~; 16 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 42 ( 4 sgn 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(hyp2,axiom,
! [X1,X2,X3,X4] :
( r(X1,X2,X3)
=> ( r(X3,X2,X4)
=> r(X1,succ(X2),X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax',hyp2) ).
fof(hyp1,axiom,
! [X1] : r(X1,zero,succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax',hyp1) ).
fof(ck,conjecture,
? [X5,X4,X6] :
( r(zero,X4,X6)
& r(zero,X5,X4)
& r(zero,zero,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ck) ).
fof(c_0_3,plain,
! [X8,X9,X10,X11] :
( r(X8,succ(X9),X11)
| ~ r(X10,X9,X11)
| ~ r(X8,X9,X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[hyp2])])]) ).
fof(c_0_4,plain,
! [X7] : r(X7,zero,succ(X7)),
inference(variable_rename,[status(thm)],[hyp1]) ).
fof(c_0_5,negated_conjecture,
~ ? [X5,X4,X6] :
( r(zero,X4,X6)
& r(zero,X5,X4)
& r(zero,zero,X5) ),
inference(assume_negation,[status(cth)],[ck]) ).
cnf(c_0_6,plain,
( ~ r(X3,X2,X4)
| ~ r(X1,X2,X3)
| r(X1,succ(X2),X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
r(X1,zero,succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
! [X12,X13,X14] :
( ~ r(zero,X13,X14)
| ~ r(zero,X12,X13)
| ~ r(zero,zero,X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
( ~ r(X1,zero,X2)
| r(X1,succ(zero),succ(X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( ~ r(zero,X2,X3)
| ~ r(zero,X1,X2)
| ~ r(zero,zero,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( ~ r(X3,zero,X2)
| ~ r(X1,succ(zero),X3)
| r(X1,succ(succ(zero)),succ(X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( ~ r(zero,X1,X2)
| ~ r(zero,succ(zero),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_13,plain,
( ~ r(X1,zero,X3)
| ~ r(succ(X3),zero,X2)
| r(X1,succ(succ(zero)),succ(X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( ~ r(zero,zero,X1)
| ~ r(zero,succ(X1),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_15,plain,
( ~ r(X1,zero,X2)
| r(X1,succ(succ(zero)),succ(succ(succ(X2)))) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
~ r(zero,zero,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_7])]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_16,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN986+1.002 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/10.39 % Computer : n005.cluster.edu
% 0.13/10.39 % Model : x86_64 x86_64
% 0.13/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.39 % Memory : 8046.5625MB
% 0.13/10.39 % OS : Linux 6.8.0-71-generic
% 0.13/10.40 % CPULimit : 300
% 0.13/10.40 % WCLimit : 300
% 0.13/10.40 % DateTime : Mon Sep 21 11:31:59 UTC 2026
% 0.17/10.40 % CPUTime :
% 0.17/10.40 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/10.47 Running first-order theorem proving
% 0.17/10.47 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
% 0.17/10.50 % Version: 3.5.1
% 0.17/10.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/10.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/10.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/10.50 % Starting new_bool_3 with 300s (1) cores
% 0.17/10.50 % Starting new_bool_1 with 300s (1) cores
% 0.17/10.50 % Starting sh5l with 300s (1) cores
% 0.17/10.50 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3345962 completed with status 0
% 0.17/10.50 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.17/10.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/10.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/10.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/10.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/10.50 % No SInE strategy applied
% 0.17/10.50 % Search class: FHHNF-FFSF11-SFFFFFNN
% 0.17/10.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/10.50 % Starting SubtermCWHack with 136s (1) cores
% 0.17/10.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.17/10.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/10.50 % Starting new_bool_3 with 136s (1) cores
% 0.17/10.50 % Starting new_bool_1 with 136s (1) cores
% 0.17/10.50 % SubtermCWHack with pid 3345966 completed with status 0
% 0.17/10.50 % Result found by SubtermCWHack
% 0.17/10.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/10.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/10.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/10.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/10.50 % No SInE strategy applied
% 0.17/10.50 % Search class: FHHNF-FFSF11-SFFFFFNN
% 0.17/10.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/10.50 % Starting SubtermCWHack with 136s (1) cores
% 0.17/10.50 % Preprocessing time : 0.001 s
% 0.17/10.50
% 0.17/10.50 % Proof found!
% 0.17/10.50 % SZS status Theorem
% 0.17/10.50 % SZS output start CNFRefutation
% See solution above
% 0.17/10.50 % Parsed axioms : 3
% 0.17/10.50 % Removed by relevancy pruning/SinE : 0
% 0.17/10.50 % Initial clauses : 3
% 0.17/10.50 % Removed in clause preprocessing : 0
% 0.17/10.50 % Initial clauses in saturation : 3
% 0.17/10.50 % Processed clauses : 11
% 0.17/10.50 % ...of these trivial : 0
% 0.17/10.50 % ...subsumed : 0
% 0.17/10.50 % ...remaining for further processing : 11
% 0.17/10.50 % Other redundant clauses eliminated : 0
% 0.17/10.50 % Clauses deleted for lack of memory : 0
% 0.17/10.50 % Backward-subsumed : 3
% 0.17/10.50 % Backward-rewritten : 0
% 0.17/10.50 % Generated clauses : 10
% 0.17/10.50 % ...of the previous two non-redundant : 9
% 0.17/10.50 % ...aggressively subsumed : 0
% 0.17/10.50 % Contextual simplify-reflections : 0
% 0.17/10.50 % Paramodulations : 10
% 0.17/10.50 % Factorizations : 0
% 0.17/10.50 % NegExts : 0
% 0.17/10.50 % Equation resolutions : 0
% 0.17/10.50 % Disequality decompositions : 0
% 0.17/10.50 % Total rewrite steps : 1
% 0.17/10.50 % ...of those cached : 0
% 0.17/10.50 % Propositional unsat checks : 0
% 0.17/10.50 % Propositional check models : 0
% 0.17/10.50 % Propositional check unsatisfiable : 0
% 0.17/10.50 % Propositional clauses : 0
% 0.17/10.50 % Propositional clauses after purity: 0
% 0.17/10.50 % Propositional unsat core size : 0
% 0.17/10.50 % Propositional preprocessing time : 0.000
% 0.17/10.50 % Propositional encoding time : 0.000
% 0.17/10.50 % Propositional solver time : 0.000
% 0.17/10.50 % Success case prop preproc time : 0.000
% 0.17/10.50 % Success case prop encoding time : 0.000
% 0.17/10.50 % Success case prop solver time : 0.000
% 0.17/10.50 % Current number of processed clauses : 8
% 0.17/10.50 % Positive orientable unit clauses : 1
% 0.17/10.50 % Positive unorientable unit clauses: 0
% 0.17/10.50 % Negative unit clauses : 1
% 0.17/10.50 % Non-unit-clauses : 6
% 0.17/10.50 % Current number of unprocessed clauses: 1
% 0.17/10.50 % ...number of literals in the above : 3
% 0.17/10.50 % Current number of archived formulas : 0
% 0.17/10.50 % Current number of archived clauses : 3
% 0.17/10.50 % Clause-clause subsumption calls (NU) : 21
% 0.17/10.50 % Rec. Clause-clause subsumption calls : 15
% 0.17/10.50 % Non-unit clause-clause subsumptions : 0
% 0.17/10.50 % Unit Clause-clause subsumption calls : 6
% 0.17/10.50 % Rewrite failures with RHS unbound : 0
% 0.17/10.50 % BW rewrite match attempts : 0
% 0.17/10.50 % BW rewrite match successes : 0
% 0.17/10.50 % Condensation attempts : 0
% 0.17/10.50 % Condensation successes : 0
% 0.17/10.50 % Termbank termtop insertions : 494
% 0.17/10.50 % Search garbage collected termcells : 53
% 0.17/10.50
% 0.17/10.50 % -------------------------------------------------
% 0.17/10.50 % User time : 0.004 s
% 0.17/10.50 % System time : 0.002 s
% 0.17/10.50 % Total time : 0.006 s
% 0.17/10.50 % Maximum resident set size: 3584 pages
% 0.17/10.50
% 0.17/10.50 % -------------------------------------------------
% 0.17/10.50 % User time : 0.012 s
% 0.17/10.50 % System time : 0.013 s
% 0.17/10.50 % Total time : 0.024 s
% 0.17/10.50 % Maximum resident set size: 4864 pages
% 0.17/10.50 % E exiting
%------------------------------------------------------------------------------