%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL445-1 : TPTP v9.3.1. Released v3.2.0.
% 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 01:12:47 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 32 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_Othms_OMP_0,axiom,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_PropLog_Othms__excluded__middle_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X2,X3),X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle_0) ).
cnf(cls_PropLog_Odeduction_0,axiom,
( ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_0_6,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(fof_simplification,[status(thm)],[cls_PropLog_Othms_OMP_0]) ).
cnf(c_0_7,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
c_0_6 ).
cnf(c_0_8,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X2,X3),X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
cls_PropLog_Othms__excluded__middle_0 ).
cnf(c_0_9,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
inference(fof_simplification,[status(thm)],[cls_PropLog_Odeduction_0]) ).
cnf(c_0_10,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X3,X2),c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),X3,X2),X3,X2),c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
c_0_9 ).
cnf(c_0_12,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
cls_conjecture_1 ).
cnf(c_0_13,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
cls_conjecture_0 ).
cnf(c_0_14,negated_conjecture,
~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_15,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,c_PropLog_Opl_Ofalse,X3),X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
c_0_14 ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL445-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.30 % Computer : n012.cluster.edu
% 0.05/0.30 % Model : x86_64 x86_64
% 0.05/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.30 % Memory : 8046.5625MB
% 0.05/0.30 % OS : Linux 6.8.0-71-generic
% 0.05/0.30 % CPULimit : 300
% 0.05/0.30 % WCLimit : 300
% 0.05/0.30 % DateTime : Mon Sep 21 00:32:22 UTC 2026
% 0.05/0.30 % CPUTime :
% 0.05/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 Running first-order theorem proving
% 0.05/0.32 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
% 0.08/0.40 % Version: 3.5.1
% 0.08/0.40 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.08/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.40 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/0.40 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.40 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.40 % Starting sh5l with 300s (1) cores
% 0.08/0.40 % new_bool_3 with pid 1230615 completed with status 0
% 0.08/0.40 % Result found by new_bool_3
% 0.08/0.40 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.08/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.40 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/0.40 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.40 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.08/0.40 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.08/0.40 % Search class: FGHSM-FFMS32-MFFFFFNN
% 0.08/0.40 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.40 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.40 % SubtermCWHack with pid 1230618 completed with status 0
% 0.08/0.40 % Result found by SubtermCWHack
% 0.08/0.40 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.08/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.40 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.08/0.40 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.40 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.08/0.40 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.08/0.40 % Search class: FGHSM-FFMS32-MFFFFFNN
% 0.08/0.40 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.40 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.40 % Preprocessing time : 0.002 s
% 0.08/0.40
% 0.08/0.40 % Proof found!
% 0.08/0.40 % SZS status Unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation
% See solution above
% 0.08/0.40 % Parsed axioms : 1374
% 0.08/0.40 % Removed by relevancy pruning/SinE : 1305
% 0.08/0.40 % Initial clauses : 69
% 0.08/0.40 % Removed in clause preprocessing : 0
% 0.08/0.40 % Initial clauses in saturation : 69
% 0.08/0.40 % Processed clauses : 539
% 0.08/0.40 % ...of these trivial : 6
% 0.08/0.40 % ...subsumed : 243
% 0.08/0.40 % ...remaining for further processing : 290
% 0.08/0.40 % Other redundant clauses eliminated : 0
% 0.08/0.40 % Clauses deleted for lack of memory : 0
% 0.08/0.40 % Backward-subsumed : 17
% 0.08/0.40 % Backward-rewritten : 17
% 0.08/0.40 % Generated clauses : 5028
% 0.08/0.40 % ...of the previous two non-redundant : 4196
% 0.08/0.40 % ...aggressively subsumed : 0
% 0.08/0.40 % Contextual simplify-reflections : 0
% 0.08/0.40 % Paramodulations : 5021
% 0.08/0.40 % Factorizations : 0
% 0.08/0.40 % NegExts : 0
% 0.08/0.40 % Equation resolutions : 7
% 0.08/0.40 % Disequality decompositions : 0
% 0.08/0.40 % Total rewrite steps : 868
% 0.08/0.40 % ...of those cached : 623
% 0.08/0.40 % Propositional unsat checks : 0
% 0.08/0.40 % Propositional check models : 0
% 0.08/0.40 % Propositional check unsatisfiable : 0
% 0.08/0.40 % Propositional clauses : 0
% 0.08/0.40 % Propositional clauses after purity: 0
% 0.08/0.40 % Propositional unsat core size : 0
% 0.08/0.40 % Propositional preprocessing time : 0.000
% 0.08/0.40 % Propositional encoding time : 0.000
% 0.08/0.40 % Propositional solver time : 0.000
% 0.08/0.40 % Success case prop preproc time : 0.000
% 0.08/0.40 % Success case prop encoding time : 0.000
% 0.08/0.40 % Success case prop solver time : 0.000
% 0.08/0.40 % Current number of processed clauses : 256
% 0.08/0.40 % Positive orientable unit clauses : 52
% 0.08/0.40 % Positive unorientable unit clauses: 0
% 0.08/0.40 % Negative unit clauses : 17
% 0.08/0.40 % Non-unit-clauses : 187
% 0.08/0.40 % Current number of unprocessed clauses: 3604
% 0.08/0.40 % ...number of literals in the above : 7851
% 0.08/0.40 % Current number of archived formulas : 0
% 0.08/0.40 % Current number of archived clauses : 34
% 0.08/0.40 % Clause-clause subsumption calls (NU) : 9560
% 0.08/0.40 % Rec. Clause-clause subsumption calls : 9478
% 0.08/0.40 % Non-unit clause-clause subsumptions : 208
% 0.08/0.40 % Unit Clause-clause subsumption calls : 182
% 0.08/0.40 % Rewrite failures with RHS unbound : 0
% 0.08/0.40 % BW rewrite match attempts : 863
% 0.08/0.40 % BW rewrite match successes : 16
% 0.08/0.40 % Condensation attempts : 0
% 0.08/0.40 % Condensation successes : 0
% 0.08/0.40 % Termbank termtop insertions : 113777
% 0.08/0.40 % Search garbage collected termcells : 2639
% 0.08/0.40
% 0.08/0.40 % -------------------------------------------------
% 0.08/0.40 % User time : 0.053 s
% 0.08/0.40 % System time : 0.003 s
% 0.08/0.40 % Total time : 0.056 s
% 0.08/0.40 % Maximum resident set size: 4616 pages
% 0.08/0.40
% 0.08/0.40 % -------------------------------------------------
% 0.08/0.40 % User time : 0.063 s
% 0.08/0.40 % System time : 0.005 s
% 0.08/0.40 % Total time : 0.068 s
% 0.08/0.40 % Maximum resident set size: 5632 pages
% 0.08/0.40 % E exiting
%------------------------------------------------------------------------------