%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : REL046-1 : 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 : n002.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 02:04:09 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 19 unt; 0 nHn; 9 RR)
% Number of literals : 27 ( 26 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(goals_15,negated_conjecture,
( join(sk1,sk3) != sk3
| join(sk1,sk2) != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(goals_14,negated_conjecture,
join(sk1,meet(sk2,sk3)) = meet(sk2,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
cnf(c_0_6,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_7,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_8,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_9,plain,
join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_10,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_11,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( join(sk1,sk3) != sk3
| join(sk1,sk2) != sk2 ),
inference(fof_simplification,[status(thm)],[goals_15]) ).
cnf(c_0_13,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_14,negated_conjecture,
join(sk1,meet(sk2,sk3)) = meet(sk2,sk3),
goals_14 ).
cnf(c_0_15,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( join(sk1,sk3) != sk3
| join(sk1,sk2) != sk2 ),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
join(sk1,join(meet(sk2,sk3),X1)) = join(meet(sk2,sk3),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
join(meet(X1,X2),meet(complement(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( join(sk3,sk1) != sk3
| join(sk2,sk1) != sk2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_8]),c_0_8]) ).
cnf(c_0_20,negated_conjecture,
join(sk2,sk1) = sk2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_8]) ).
cnf(c_0_21,negated_conjecture,
join(sk3,sk1) = sk3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_8]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL046-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:11:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.43 % Version: 3.5.1
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % Starting sh5l with 300s (1) cores
% 0.15/0.43 % new_bool_1 with pid 2399410 completed with status 0
% 0.15/0.43 % Result found by new_bool_1
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 % Search class: FUHPM-FFSF21-MFFFFFNN
% 0.15/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.43 % SubtermCWHack with pid 2399412 completed with status 0
% 0.15/0.43 % Result found by SubtermCWHack
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 % Search class: FUHPM-FFSF21-MFFFFFNN
% 0.15/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.43 % Preprocessing time : 0.001 s
% 0.15/0.43
% 0.15/0.43 % Proof found!
% 0.15/0.43 % SZS status Unsatisfiable
% 0.15/0.43 % SZS output start CNFRefutation
% See solution above
% 0.15/0.43 % Parsed axioms : 15
% 0.15/0.43 % Removed by relevancy pruning/SinE : 3
% 0.15/0.43 % Initial clauses : 12
% 0.15/0.43 % Removed in clause preprocessing : 0
% 0.15/0.43 % Initial clauses in saturation : 12
% 0.15/0.43 % Processed clauses : 93
% 0.15/0.43 % ...of these trivial : 13
% 0.15/0.43 % ...subsumed : 46
% 0.15/0.43 % ...remaining for further processing : 33
% 0.15/0.43 % Other redundant clauses eliminated : 0
% 0.15/0.43 % Clauses deleted for lack of memory : 0
% 0.15/0.43 % Backward-subsumed : 0
% 0.15/0.43 % Backward-rewritten : 1
% 0.15/0.43 % Generated clauses : 438
% 0.15/0.43 % ...of the previous two non-redundant : 388
% 0.15/0.43 % ...aggressively subsumed : 0
% 0.15/0.43 % Contextual simplify-reflections : 0
% 0.15/0.43 % Paramodulations : 438
% 0.15/0.43 % Factorizations : 0
% 0.15/0.43 % NegExts : 0
% 0.15/0.43 % Equation resolutions : 0
% 0.15/0.43 % Disequality decompositions : 0
% 0.15/0.43 % Total rewrite steps : 240
% 0.15/0.43 % ...of those cached : 127
% 0.15/0.43 % Propositional unsat checks : 0
% 0.15/0.43 % Propositional check models : 0
% 0.15/0.43 % Propositional check unsatisfiable : 0
% 0.15/0.43 % Propositional clauses : 0
% 0.15/0.43 % Propositional clauses after purity: 0
% 0.15/0.43 % Propositional unsat core size : 0
% 0.15/0.43 % Propositional preprocessing time : 0.000
% 0.15/0.43 % Propositional encoding time : 0.000
% 0.15/0.43 % Propositional solver time : 0.000
% 0.15/0.43 % Success case prop preproc time : 0.000
% 0.15/0.43 % Success case prop encoding time : 0.000
% 0.15/0.43 % Success case prop solver time : 0.000
% 0.15/0.43 % Current number of processed clauses : 32
% 0.15/0.43 % Positive orientable unit clauses : 27
% 0.15/0.43 % Positive unorientable unit clauses: 5
% 0.15/0.43 % Negative unit clauses : 0
% 0.15/0.43 % Non-unit-clauses : 0
% 0.15/0.43 % Current number of unprocessed clauses: 307
% 0.15/0.43 % ...number of literals in the above : 307
% 0.15/0.43 % Current number of archived formulas : 0
% 0.15/0.43 % Current number of archived clauses : 1
% 0.15/0.43 % Clause-clause subsumption calls (NU) : 0
% 0.15/0.43 % Rec. Clause-clause subsumption calls : 0
% 0.15/0.43 % Non-unit clause-clause subsumptions : 0
% 0.15/0.43 % Unit Clause-clause subsumption calls : 7
% 0.15/0.43 % Rewrite failures with RHS unbound : 0
% 0.15/0.43 % BW rewrite match attempts : 25
% 0.15/0.43 % BW rewrite match successes : 17
% 0.15/0.43 % Condensation attempts : 0
% 0.15/0.43 % Condensation successes : 0
% 0.15/0.43 % Termbank termtop insertions : 3936
% 0.15/0.43 % Search garbage collected termcells : 14
% 0.15/0.43
% 0.15/0.43 % -------------------------------------------------
% 0.15/0.43 % User time : 0.005 s
% 0.15/0.43 % System time : 0.004 s
% 0.15/0.43 % Total time : 0.009 s
% 0.15/0.43 % Maximum resident set size: 3644 pages
% 0.15/0.43
% 0.15/0.43 % -------------------------------------------------
% 0.15/0.43 % User time : 0.008 s
% 0.15/0.43 % System time : 0.007 s
% 0.15/0.43 % Total time : 0.015 s
% 0.15/0.43 % Maximum resident set size: 4864 pages
% 0.15/0.43 % E exiting
%------------------------------------------------------------------------------