%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL201-1 : TPTP v9.3.1. Released v1.1.0.
% 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 01:18:46 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.61s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 28 ( 15 unt; 0 nHn; 17 RR)
% Number of literals : 47 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_3,axiom,
( ~ theorem(or(not(X3),X2))
| ~ axiom(or(not(X1),X3))
| theorem(or(not(X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_3) ).
cnf(axiom_1_3,axiom,
axiom(or(not(X1),or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).
cnf(rule_1,axiom,
( ~ axiom(X1)
| theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).
cnf(rule_2,axiom,
( ~ theorem(X2)
| ~ axiom(or(not(X2),X1))
| theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_2) ).
cnf(axiom_1_5,axiom,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).
cnf(axiom_1_4,axiom,
axiom(or(not(or(X1,X2)),or(X2,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).
cnf(prove_this,negated_conjecture,
~ theorem(or(not(not(or(p,q))),or(not(p),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_7,plain,
( ~ theorem(or(not(X3),X2))
| ~ axiom(or(not(X1),X3))
| theorem(or(not(X1),X2)) ),
inference(fof_simplification,[status(thm)],[rule_3]) ).
cnf(c_0_8,plain,
( ~ theorem(or(not(X3),X2))
| ~ axiom(or(not(X1),X3))
| theorem(or(not(X1),X2)) ),
c_0_7 ).
cnf(c_0_9,axiom,
axiom(or(not(X1),or(X2,X1))),
axiom_1_3 ).
cnf(c_0_10,plain,
( ~ axiom(X1)
| theorem(X1) ),
inference(fof_simplification,[status(thm)],[rule_1]) ).
cnf(c_0_11,plain,
( ~ theorem(X2)
| ~ axiom(or(not(X2),X1))
| theorem(X1) ),
inference(fof_simplification,[status(thm)],[rule_2]) ).
cnf(c_0_12,plain,
( ~ theorem(or(not(or(X3,X1)),X2))
| theorem(or(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( ~ axiom(X1)
| theorem(X1) ),
c_0_10 ).
cnf(c_0_14,plain,
( ~ theorem(X2)
| ~ axiom(or(not(X2),X1))
| theorem(X1) ),
c_0_11 ).
cnf(c_0_15,axiom,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_16,plain,
( ~ axiom(or(not(or(X3,X1)),X2))
| theorem(or(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,axiom,
axiom(or(not(or(X1,X2)),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_18,plain,
( ~ theorem(or(X2,or(X1,X3)))
| theorem(or(X1,or(X2,X3))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
theorem(or(not(X1),or(X1,X2))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( ~ theorem(or(not(or(X2,X1)),X3))
| theorem(or(not(or(X1,X2)),X3)) ),
inference(spm,[status(thm)],[c_0_8,c_0_17]) ).
cnf(c_0_21,plain,
theorem(or(X1,or(not(X1),X2))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
theorem(or(not(or(X1,X2)),or(not(not(or(X2,X1))),X3))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
~ theorem(or(not(not(or(p,q))),or(not(p),q))),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_24,plain,
theorem(or(not(X1),or(not(not(or(X1,X2))),X3))),
inference(spm,[status(thm)],[c_0_12,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
~ theorem(or(not(not(or(p,q))),or(not(p),q))),
c_0_23 ).
cnf(c_0_26,plain,
theorem(or(not(not(or(X1,X2))),or(not(X1),X3))),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL201-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n026.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 00:13:06 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 0.26/0.61 % Version: 3.5.1
% 0.26/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.61 % Starting sh5l with 300s (1) cores
% 0.26/0.61 % new_bool_3 with pid 948239 completed with status 0
% 0.26/0.61 % Result found by new_bool_3
% 0.26/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.26/0.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.26/0.61 % Search class: FHUNM-FFSF21-MFFFFFNN
% 0.26/0.61 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.61 % Starting SubtermCWHack with 31s (1) cores
% 0.26/0.61 % SubtermCWHack with pid 948246 completed with status 0
% 0.26/0.61 % Result found by SubtermCWHack
% 0.26/0.61 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.26/0.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.26/0.61 % Search class: FHUNM-FFSF21-MFFFFFNN
% 0.26/0.61 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.61 % Starting SubtermCWHack with 31s (1) cores
% 0.26/0.61 % Preprocessing time : 0.002 s
% 0.26/0.61
% 0.26/0.61 % Proof found!
% 0.26/0.61 % SZS status Unsatisfiable
% 0.26/0.61 % SZS output start CNFRefutation
% See solution above
% 0.26/0.61 % Parsed axioms : 9
% 0.26/0.61 % Removed by relevancy pruning/SinE : 0
% 0.26/0.61 % Initial clauses : 9
% 0.26/0.61 % Removed in clause preprocessing : 0
% 0.26/0.61 % Initial clauses in saturation : 9
% 0.26/0.61 % Processed clauses : 589
% 0.26/0.61 % ...of these trivial : 65
% 0.26/0.61 % ...subsumed : 139
% 0.26/0.61 % ...remaining for further processing : 385
% 0.26/0.61 % Other redundant clauses eliminated : 0
% 0.26/0.61 % Clauses deleted for lack of memory : 0
% 0.26/0.61 % Backward-subsumed : 4
% 0.26/0.61 % Backward-rewritten : 5
% 0.26/0.61 % Generated clauses : 2647
% 0.26/0.61 % ...of the previous two non-redundant : 1513
% 0.26/0.61 % ...aggressively subsumed : 0
% 0.26/0.61 % Contextual simplify-reflections : 0
% 0.26/0.61 % Paramodulations : 2647
% 0.26/0.61 % Factorizations : 0
% 0.26/0.61 % NegExts : 0
% 0.26/0.61 % Equation resolutions : 0
% 0.26/0.61 % Disequality decompositions : 0
% 0.26/0.61 % Total rewrite steps : 1196
% 0.26/0.61 % ...of those cached : 712
% 0.26/0.61 % Propositional unsat checks : 0
% 0.26/0.61 % Propositional check models : 0
% 0.26/0.61 % Propositional check unsatisfiable : 0
% 0.26/0.61 % Propositional clauses : 0
% 0.26/0.61 % Propositional clauses after purity: 0
% 0.26/0.61 % Propositional unsat core size : 0
% 0.26/0.61 % Propositional preprocessing time : 0.000
% 0.26/0.61 % Propositional encoding time : 0.000
% 0.26/0.61 % Propositional solver time : 0.000
% 0.26/0.61 % Success case prop preproc time : 0.000
% 0.26/0.61 % Success case prop encoding time : 0.000
% 0.26/0.61 % Success case prop solver time : 0.000
% 0.26/0.61 % Current number of processed clauses : 376
% 0.26/0.61 % Positive orientable unit clauses : 289
% 0.26/0.61 % Positive unorientable unit clauses: 0
% 0.26/0.61 % Negative unit clauses : 16
% 0.26/0.61 % Non-unit-clauses : 71
% 0.26/0.61 % Current number of unprocessed clauses: 928
% 0.26/0.61 % ...number of literals in the above : 1197
% 0.26/0.61 % Current number of archived formulas : 0
% 0.26/0.61 % Current number of archived clauses : 9
% 0.26/0.61 % Clause-clause subsumption calls (NU) : 1845
% 0.26/0.61 % Rec. Clause-clause subsumption calls : 1845
% 0.26/0.61 % Non-unit clause-clause subsumptions : 137
% 0.26/0.61 % Unit Clause-clause subsumption calls : 650
% 0.26/0.61 % Rewrite failures with RHS unbound : 0
% 0.26/0.61 % BW rewrite match attempts : 16013
% 0.26/0.61 % BW rewrite match successes : 5
% 0.26/0.61 % Condensation attempts : 0
% 0.26/0.61 % Condensation successes : 0
% 0.26/0.61 % Termbank termtop insertions : 31182
% 0.26/0.61 % Search garbage collected termcells : 17
% 0.26/0.61
% 0.26/0.61 % -------------------------------------------------
% 0.26/0.61 % User time : 0.066 s
% 0.26/0.61 % System time : 0.008 s
% 0.26/0.61 % Total time : 0.074 s
% 0.26/0.61 % Maximum resident set size: 3584 pages
% 0.26/0.61
% 0.26/0.61 % -------------------------------------------------
% 0.26/0.61 % User time : 0.069 s
% 0.26/0.61 % System time : 0.013 s
% 0.26/0.61 % Total time : 0.082 s
% 0.26/0.61 % Maximum resident set size: 4608 pages
% 0.26/0.61 % E exiting
%------------------------------------------------------------------------------