%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL302-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:12:23 PM UTC 2026
% Result : Unsatisfiable 11.52s 1.88s
% Output : CNFRefutation 11.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of clauses : 67 ( 31 unt; 0 nHn; 36 RR)
% Number of literals : 117 ( 7 equ; 60 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 125 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( ~ theorem(X2)
| ~ theorem(implies(X2,X1))
| theorem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(rule_1,axiom,
( ~ axiom(X1)
| theorem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(prove_this,negated_conjecture,
~ theorem(equivalent(implies(p,q),implies(p,and(p,q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(equivalent_defn,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax',and_defn) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(c_0_11,plain,
( ~ theorem(X2)
| ~ theorem(implies(X2,X1))
| theorem(X1) ),
inference(fof_simplification,[status(thm)],[rule_2]) ).
cnf(c_0_12,plain,
( ~ theorem(X2)
| ~ theorem(implies(X2,X1))
| theorem(X1) ),
c_0_11 ).
cnf(c_0_13,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(c_0_14,plain,
( ~ axiom(X1)
| theorem(X1) ),
inference(fof_simplification,[status(thm)],[rule_1]) ).
cnf(c_0_15,plain,
( ~ theorem(or(not(X2),X1))
| ~ theorem(X2)
| theorem(X1) ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( ~ axiom(X1)
| theorem(X1) ),
c_0_14 ).
cnf(c_0_17,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_18,plain,
( ~ axiom(or(not(X2),X1))
| ~ theorem(X2)
| theorem(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_20,plain,
( ~ theorem(or(X2,or(X1,X3)))
| theorem(or(X1,or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
( ~ axiom(or(X2,or(X1,X3)))
| theorem(or(X1,or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_22,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_23,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(c_0_24,plain,
( ~ axiom(or(X1,or(not(X3),X2)))
| ~ theorem(X3)
| theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_25,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[c_0_22,c_0_13]) ).
cnf(c_0_26,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_27,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(c_0_28,negated_conjecture,
~ theorem(equivalent(implies(p,q),implies(p,and(p,q)))),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_29,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
equivalent_defn ).
cnf(c_0_30,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(c_0_31,plain,
( ~ theorem(X2)
| theorem(or(not(or(X1,not(X2))),X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(c_0_33,plain,
( ~ theorem(or(not(X2),X3))
| theorem(or(not(or(X1,X2)),or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_18,c_0_26]) ).
cnf(c_0_34,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[c_0_27,c_0_13]) ).
cnf(c_0_35,negated_conjecture,
~ theorem(equivalent(implies(p,q),implies(p,and(p,q)))),
c_0_28 ).
cnf(c_0_36,plain,
equivalent(X1,X2) = not(or(not(or(not(X1),X2)),not(or(not(X2),X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_13]),c_0_13]),c_0_30]) ).
cnf(c_0_37,plain,
( ~ theorem(X2)
| ~ theorem(or(X1,not(X2)))
| theorem(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_31]) ).
cnf(c_0_38,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[c_0_32,c_0_13]) ).
cnf(c_0_39,plain,
( ~ theorem(or(X1,X3))
| ~ theorem(or(not(X3),X2))
| theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_33]) ).
cnf(c_0_40,plain,
( ~ theorem(or(not(X2),X3))
| theorem(or(X1,or(not(or(X1,X2)),X3))) ),
inference(spm,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_41,plain,
( ~ theorem(X2)
| theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_34]) ).
cnf(c_0_42,negated_conjecture,
~ theorem(not(or(not(or(not(or(not(p),q)),or(not(p),not(or(not(p),not(q)))))),not(or(not(or(not(p),not(or(not(p),not(q))))),or(not(p),q)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_13]),c_0_13]),c_0_30]),c_0_36]) ).
cnf(c_0_43,plain,
( ~ theorem(X2)
| ~ theorem(X1)
| theorem(not(or(not(X1),not(X2)))) ),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_44,plain,
( ~ theorem(or(X1,X1))
| theorem(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_38]) ).
cnf(c_0_45,plain,
( ~ theorem(or(X1,X2))
| ~ theorem(or(not(X3),X4))
| theorem(or(X1,or(not(or(not(X2),X3)),X4))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( ~ theorem(or(X2,X1))
| theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_47,plain,
( ~ theorem(or(X1,X3))
| theorem(or(X1,or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_20,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( ~ theorem(or(not(or(not(p),not(or(not(p),not(q))))),or(not(p),q)))
| ~ theorem(or(not(or(not(p),q)),or(not(p),not(or(not(p),not(q)))))) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
( ~ theorem(or(not(X2),X3))
| ~ theorem(or(or(not(or(not(X1),X2)),X3),X1))
| theorem(or(not(or(not(X1),X2)),X3)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
( ~ theorem(or(X3,X2))
| theorem(or(or(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( ~ axiom(or(not(X3),X2))
| ~ theorem(or(X1,X3))
| theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_39,c_0_16]) ).
cnf(c_0_52,plain,
( ~ axiom(or(X1,or(or(X1,X2),X2)))
| theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_21]) ).
cnf(c_0_53,negated_conjecture,
( ~ theorem(or(not(not(or(not(p),not(q)))),q))
| ~ theorem(or(not(or(not(p),q)),or(not(p),not(or(not(p),not(q)))))) ),
inference(spm,[status(thm)],[c_0_48,c_0_33]) ).
cnf(c_0_54,plain,
( ~ theorem(or(X1,X3))
| ~ theorem(or(not(X2),X3))
| theorem(or(not(or(not(X1),X2)),X3)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( ~ theorem(or(X1,or(X3,X2)))
| theorem(or(X1,or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_51,c_0_25]) ).
cnf(c_0_56,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_52,c_0_34]) ).
cnf(c_0_57,negated_conjecture,
( ~ theorem(or(not(not(or(not(p),not(q)))),q))
| ~ theorem(or(p,or(not(p),not(or(not(p),not(q))))))
| ~ theorem(or(not(q),or(not(p),not(or(not(p),not(q)))))) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
( ~ axiom(or(X3,or(X1,X2)))
| theorem(or(X1,or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_55,c_0_21]) ).
cnf(c_0_59,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_46,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( ~ theorem(or(not(not(or(not(p),not(q)))),q))
| ~ theorem(or(p,or(not(p),not(or(not(p),not(q)))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_25])]) ).
cnf(c_0_61,plain,
( ~ theorem(or(X1,X2))
| theorem(or(X1,or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_55,c_0_47]) ).
cnf(c_0_62,plain,
( ~ theorem(or(X1,X2))
| theorem(or(X1,not(not(X2)))) ),
inference(spm,[status(thm)],[c_0_39,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
~ theorem(or(not(not(or(not(p),not(q)))),q)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_59])]) ).
cnf(c_0_64,plain,
( ~ theorem(or(X2,X1))
| theorem(or(not(not(X1)),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
~ theorem(or(q,or(not(p),not(q)))),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_47]),c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL302-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 00:19:36 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 11.52/1.88 % Version: 3.5.1
% 11.52/1.88 % Preprocessing class: FSSSSMSSSSSNFFN.
% 11.52/1.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.52/1.88 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 11.52/1.88 % Starting new_bool_3 with 300s (1) cores
% 11.52/1.88 % Starting new_bool_1 with 300s (1) cores
% 11.52/1.88 % Starting sh5l with 300s (1) cores
% 11.52/1.88 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1215359 completed with status 0
% 11.52/1.88 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 11.52/1.88 % Preprocessing class: FSSSSMSSSSSNFFN.
% 11.52/1.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.52/1.88 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 11.52/1.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.52/1.88 % No SInE strategy applied
% 11.52/1.88 % Search class: FHUNM-FFSF21-DFFFFFNN
% 11.52/1.88 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 11.52/1.88 % Starting SubtermCWHack with 151s (1) cores
% 11.52/1.88 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 395s (1) cores
% 11.52/1.88 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 334s (1) cores
% 11.52/1.88 % Starting new_bool_3 with 329s (1) cores
% 11.52/1.88 % Starting new_bool_1 with 291s (1) cores
% 11.52/1.88 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1215365 completed with status 0
% 11.52/1.88 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 11.52/1.88 % Preprocessing class: FSSSSMSSSSSNFFN.
% 11.52/1.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.52/1.88 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 11.52/1.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.52/1.88 % No SInE strategy applied
% 11.52/1.88 % Search class: FHUNM-FFSF21-DFFFFFNN
% 11.52/1.88 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 11.52/1.88 % Starting SubtermCWHack with 151s (1) cores
% 11.52/1.88 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 395s (1) cores
% 11.52/1.88 % Preprocessing time : 0.031 s
% 11.52/1.88
% 11.52/1.88 % Proof found!
% 11.52/1.88 % SZS status Unsatisfiable
% 11.52/1.88 % SZS output start CNFRefutation
% See solution above
% 11.52/1.88 % Parsed axioms : 11
% 11.52/1.88 % Removed by relevancy pruning/SinE : 0
% 11.52/1.88 % Initial clauses : 11
% 11.52/1.88 % Removed in clause preprocessing : 3
% 11.52/1.88 % Initial clauses in saturation : 8
% 11.52/1.88 % Processed clauses : 5821
% 11.52/1.88 % ...of these trivial : 15
% 11.52/1.88 % ...subsumed : 3487
% 11.52/1.88 % ...remaining for further processing : 2319
% 11.52/1.88 % Other redundant clauses eliminated : 0
% 11.52/1.88 % Clauses deleted for lack of memory : 0
% 11.52/1.88 % Backward-subsumed : 639
% 11.52/1.88 % Backward-rewritten : 8
% 11.52/1.88 % Generated clauses : 86284
% 11.52/1.88 % ...of the previous two non-redundant : 85735
% 11.52/1.88 % ...aggressively subsumed : 0
% 11.52/1.88 % Contextual simplify-reflections : 26
% 11.52/1.88 % Paramodulations : 86284
% 11.52/1.88 % Factorizations : 0
% 11.52/1.88 % NegExts : 0
% 11.52/1.88 % Equation resolutions : 0
% 11.52/1.88 % Disequality decompositions : 0
% 11.52/1.88 % Total rewrite steps : 692
% 11.52/1.88 % ...of those cached : 574
% 11.52/1.88 % Propositional unsat checks : 0
% 11.52/1.88 % Propositional check models : 0
% 11.52/1.88 % Propositional check unsatisfiable : 0
% 11.52/1.88 % Propositional clauses : 0
% 11.52/1.88 % Propositional clauses after purity: 0
% 11.52/1.88 % Propositional unsat core size : 0
% 11.52/1.88 % Propositional preprocessing time : 0.000
% 11.52/1.88 % Propositional encoding time : 0.000
% 11.52/1.88 % Propositional solver time : 0.000
% 11.52/1.88 % Success case prop preproc time : 0.000
% 11.52/1.88 % Success case prop encoding time : 0.000
% 11.52/1.88 % Success case prop solver time : 0.000
% 11.52/1.88 % Current number of processed clauses : 1672
% 11.52/1.88 % Positive orientable unit clauses : 40
% 11.52/1.88 % Positive unorientable unit clauses: 0
% 11.52/1.88 % Negative unit clauses : 32
% 11.52/1.88 % Non-unit-clauses : 1600
% 11.52/1.88 % Current number of unprocessed clauses: 79297
% 11.52/1.88 % ...number of literals in the above : 314780
% 11.52/1.88 % Current number of archived formulas : 0
% 11.52/1.88 % Current number of archived clauses : 650
% 11.52/1.88 % Clause-clause subsumption calls (NU) : 749625
% 11.52/1.88 % Rec. Clause-clause subsumption calls : 481766
% 11.52/1.88 % Non-unit clause-clause subsumptions : 2843
% 11.52/1.88 % Unit Clause-clause subsumption calls : 14008
% 11.52/1.88 % Rewrite failures with RHS unbound : 0
% 11.52/1.88 % BW rewrite match attempts : 2654
% 11.52/1.88 % BW rewrite match successes : 10
% 11.52/1.88 % Condensation attempts : 0
% 11.52/1.88 % Condensation successes : 0
% 11.52/1.88 % Termbank termtop insertions : 1886534
% 11.52/1.88 % Search garbage collected termcells : 11
% 11.52/1.88
% 11.52/1.88 % -------------------------------------------------
% 11.52/1.88 % User time : 1.455 s
% 11.52/1.88 % System time : 0.052 s
% 11.52/1.88 % Total time : 1.507 s
% 11.52/1.88 % Maximum resident set size: 3600 pages
% 11.52/1.88
% 11.52/1.88 % -------------------------------------------------
% 11.52/1.88 % User time : 7.001 s
% 11.52/1.88 % System time : 0.347 s
% 11.52/1.88 % Total time : 7.348 s
% 11.52/1.88 % Maximum resident set size: 4864 pages
% 11.52/1.88 % E exiting
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