%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 03:21:44 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 21 unt; 0 nHn; 32 RR)
% Number of literals : 95 ( 0 equ; 74 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 66 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(disjunction,negated_conjecture,
( ~ p_10(X10,X1)
| ~ p_9(X9,X10)
| ~ p_8(X8,X9)
| ~ p_7(X7,X8)
| ~ p_6(X6,X7)
| ~ p_5(X5,X6)
| ~ p_4(X4,X5)
| ~ p_3(X3,X4)
| ~ p_2(X2,X3)
| ~ p_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjunction) ).
cnf(p_10,negated_conjecture,
p_10(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_10) ).
cnf(p_9,negated_conjecture,
p_9(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_9) ).
cnf(p_8,negated_conjecture,
p_8(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_8) ).
cnf(p_7,negated_conjecture,
p_7(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_7) ).
cnf(p_6,negated_conjecture,
p_6(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_6) ).
cnf(p_5,negated_conjecture,
p_5(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_5) ).
cnf(p_4,negated_conjecture,
p_4(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
cnf(p_3,negated_conjecture,
p_3(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_3) ).
cnf(p_2,negated_conjecture,
p_2(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_2) ).
cnf(p_1,negated_conjecture,
p_1(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1) ).
cnf(c_0_11,negated_conjecture,
( ~ p_10(X10,X1)
| ~ p_9(X9,X10)
| ~ p_8(X8,X9)
| ~ p_7(X7,X8)
| ~ p_6(X6,X7)
| ~ p_5(X5,X6)
| ~ p_4(X4,X5)
| ~ p_3(X3,X4)
| ~ p_2(X2,X3)
| ~ p_1(X1,X2) ),
inference(fof_simplification,[status(thm)],[disjunction]) ).
cnf(c_0_12,negated_conjecture,
( ~ p_10(X10,X1)
| ~ p_9(X9,X10)
| ~ p_8(X8,X9)
| ~ p_7(X7,X8)
| ~ p_6(X6,X7)
| ~ p_5(X5,X6)
| ~ p_4(X4,X5)
| ~ p_3(X3,X4)
| ~ p_2(X2,X3)
| ~ p_1(X1,X2) ),
c_0_11 ).
cnf(c_0_13,negated_conjecture,
p_10(a,a),
p_10 ).
cnf(c_0_14,negated_conjecture,
( ~ p_1(a,X8)
| ~ p_2(X8,X7)
| ~ p_3(X7,X6)
| ~ p_4(X6,X5)
| ~ p_5(X5,X4)
| ~ p_6(X4,X3)
| ~ p_7(X3,X2)
| ~ p_8(X2,X1)
| ~ p_9(X1,a) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
p_9(a,a),
p_9 ).
cnf(c_0_16,negated_conjecture,
( ~ p_1(a,X7)
| ~ p_2(X7,X6)
| ~ p_3(X6,X5)
| ~ p_4(X5,X4)
| ~ p_5(X4,X3)
| ~ p_6(X3,X2)
| ~ p_7(X2,X1)
| ~ p_8(X1,a) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
p_8(a,a),
p_8 ).
cnf(c_0_18,negated_conjecture,
( ~ p_1(a,X6)
| ~ p_2(X6,X5)
| ~ p_3(X5,X4)
| ~ p_4(X4,X3)
| ~ p_5(X3,X2)
| ~ p_6(X2,X1)
| ~ p_7(X1,a) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
p_7(a,a),
p_7 ).
cnf(c_0_20,negated_conjecture,
( ~ p_1(a,X5)
| ~ p_2(X5,X4)
| ~ p_3(X4,X3)
| ~ p_4(X3,X2)
| ~ p_5(X2,X1)
| ~ p_6(X1,a) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
p_6(a,a),
p_6 ).
cnf(c_0_22,negated_conjecture,
( ~ p_1(a,X4)
| ~ p_2(X4,X3)
| ~ p_3(X3,X2)
| ~ p_4(X2,X1)
| ~ p_5(X1,a) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
p_5(a,a),
p_5 ).
cnf(c_0_24,negated_conjecture,
( ~ p_1(a,X3)
| ~ p_2(X3,X2)
| ~ p_3(X2,X1)
| ~ p_4(X1,a) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
p_4(a,a),
p_4 ).
cnf(c_0_26,negated_conjecture,
( ~ p_1(a,X2)
| ~ p_2(X2,X1)
| ~ p_3(X1,a) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
p_3(a,a),
p_3 ).
cnf(c_0_28,negated_conjecture,
( ~ p_1(a,X1)
| ~ p_2(X1,a) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
p_2(a,a),
p_2 ).
cnf(c_0_30,negated_conjecture,
p_1(a,a),
p_1 ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.41 % Computer : n026.cluster.edu
% 0.18/0.41 % Model : x86_64 x86_64
% 0.18/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.41 % Memory : 8046.5625MB
% 0.18/0.41 % OS : Linux 6.8.0-71-generic
% 0.18/0.41 % CPULimit : 300
% 0.18/0.41 % WCLimit : 300
% 0.18/0.41 % DateTime : Mon Sep 21 10:41:36 UTC 2026
% 0.18/0.41 % CPUTime :
% 0.18/0.41 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 0.18/0.49 % Version: 3.5.1
% 0.18/0.49 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 % Starting sh5l with 300s (1) cores
% 0.18/0.49 % new_bool_3 with pid 2051982 completed with status 0
% 0.18/0.49 % Result found by new_bool_3
% 0.18/0.49 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49 % Search class: FUHNF-FFSM00-SFFFFFNN
% 0.18/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.49 % SubtermCWHack with pid 2051987 completed with status 0
% 0.18/0.49 % Result found by SubtermCWHack
% 0.18/0.49 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49 % Search class: FUHNF-FFSM00-SFFFFFNN
% 0.18/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.49 % Preprocessing time : 0.002 s
% 0.18/0.49
% 0.18/0.49 % Proof found!
% 0.18/0.49 % SZS status Unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation
% See solution above
% 0.18/0.49 % Parsed axioms : 11
% 0.18/0.49 % Removed by relevancy pruning/SinE : 0
% 0.18/0.49 % Initial clauses : 11
% 0.18/0.49 % Removed in clause preprocessing : 0
% 0.18/0.49 % Initial clauses in saturation : 11
% 0.18/0.49 % Processed clauses : 19
% 0.18/0.49 % ...of these trivial : 0
% 0.18/0.49 % ...subsumed : 0
% 0.18/0.49 % ...remaining for further processing : 19
% 0.18/0.49 % Other redundant clauses eliminated : 0
% 0.18/0.49 % Clauses deleted for lack of memory : 0
% 0.18/0.49 % Backward-subsumed : 0
% 0.18/0.49 % Backward-rewritten : 0
% 0.18/0.49 % Generated clauses : 9
% 0.18/0.49 % ...of the previous two non-redundant : 8
% 0.18/0.49 % ...aggressively subsumed : 0
% 0.18/0.49 % Contextual simplify-reflections : 0
% 0.18/0.49 % Paramodulations : 9
% 0.18/0.49 % Factorizations : 0
% 0.18/0.49 % NegExts : 0
% 0.18/0.49 % Equation resolutions : 0
% 0.18/0.49 % Disequality decompositions : 0
% 0.18/0.49 % Total rewrite steps : 1
% 0.18/0.49 % ...of those cached : 0
% 0.18/0.49 % Propositional unsat checks : 0
% 0.18/0.49 % Propositional check models : 0
% 0.18/0.49 % Propositional check unsatisfiable : 0
% 0.18/0.49 % Propositional clauses : 0
% 0.18/0.49 % Propositional clauses after purity: 0
% 0.18/0.49 % Propositional unsat core size : 0
% 0.18/0.49 % Propositional preprocessing time : 0.000
% 0.18/0.49 % Propositional encoding time : 0.000
% 0.18/0.49 % Propositional solver time : 0.000
% 0.18/0.49 % Success case prop preproc time : 0.000
% 0.18/0.49 % Success case prop encoding time : 0.000
% 0.18/0.49 % Success case prop solver time : 0.000
% 0.18/0.49 % Current number of processed clauses : 19
% 0.18/0.49 % Positive orientable unit clauses : 10
% 0.18/0.49 % Positive unorientable unit clauses: 0
% 0.18/0.49 % Negative unit clauses : 0
% 0.18/0.49 % Non-unit-clauses : 9
% 0.18/0.49 % Current number of unprocessed clauses: 0
% 0.18/0.49 % ...number of literals in the above : 0
% 0.18/0.49 % Current number of archived formulas : 0
% 0.18/0.49 % Current number of archived clauses : 0
% 0.18/0.49 % Clause-clause subsumption calls (NU) : 36
% 0.18/0.49 % Rec. Clause-clause subsumption calls : 0
% 0.18/0.49 % Non-unit clause-clause subsumptions : 0
% 0.18/0.49 % Unit Clause-clause subsumption calls : 0
% 0.18/0.49 % Rewrite failures with RHS unbound : 0
% 0.18/0.49 % BW rewrite match attempts : 0
% 0.18/0.49 % BW rewrite match successes : 0
% 0.18/0.49 % Condensation attempts : 0
% 0.18/0.49 % Condensation successes : 0
% 0.18/0.49 % Termbank termtop insertions : 521
% 0.18/0.49 % Search garbage collected termcells : 29
% 0.18/0.49
% 0.18/0.49 % -------------------------------------------------
% 0.18/0.49 % User time : 0.005 s
% 0.18/0.49 % System time : 0.002 s
% 0.18/0.49 % Total time : 0.007 s
% 0.18/0.49 % Maximum resident set size: 3336 pages
% 0.18/0.49
% 0.18/0.49 % -------------------------------------------------
% 0.18/0.49 % User time : 0.008 s
% 0.18/0.49 % System time : 0.008 s
% 0.18/0.49 % Total time : 0.015 s
% 0.18/0.49 % Maximum resident set size: 4608 pages
% 0.18/0.49 % E exiting
%------------------------------------------------------------------------------