%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL446-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:19:30 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 10 RR)
% Number of literals : 25 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 47 ( 8 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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_PropLog_Othms_OS_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X4),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X4),c_PropLog_Opl_Oop_A_N_62(X1,X3,X4),X4),X4),c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).
cnf(cls_PropLog_Othms_OK_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_4,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_5,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_4 ).
cnf(c_0_6,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X4),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X4),c_PropLog_Opl_Oop_A_N_62(X1,X3,X4),X4),X4),c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4)),
cls_PropLog_Othms_OS_0 ).
cnf(c_0_7,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X4,X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3))
| 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(X1,X4,X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X5,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X5,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_9,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
cls_PropLog_Othms_OK_0 ).
cnf(c_0_10,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_11,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| c_in(c_PropLog_Opl_Oop_A_N_62(X1,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
c_0_10 ).
cnf(c_0_13,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL446-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:32:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.48 % Version: 3.5.1
% 0.14/0.48 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.14/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.48 % Starting sh5l with 300s (1) cores
% 0.14/0.48 % new_bool_3 with pid 1635264 completed with status 0
% 0.14/0.48 % Result found by new_bool_3
% 0.14/0.48 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.14/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.48 % Search class: FHUSS-FFSF32-MFFFFFNN
% 0.14/0.48 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.48 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.48 % SubtermCWHack with pid 1635269 completed with status 0
% 0.14/0.48 % Result found by SubtermCWHack
% 0.14/0.48 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.14/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.48 % Search class: FHUSS-FFSF32-MFFFFFNN
% 0.14/0.48 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.48 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.48 % Preprocessing time : 0.003 s
% 0.14/0.48
% 0.14/0.48 % Proof found!
% 0.14/0.48 % SZS status Unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation
% See solution above
% 0.14/0.48 % Parsed axioms : 1371
% 0.14/0.48 % Removed by relevancy pruning/SinE : 1364
% 0.14/0.48 % Initial clauses : 7
% 0.14/0.48 % Removed in clause preprocessing : 0
% 0.14/0.48 % Initial clauses in saturation : 7
% 0.14/0.48 % Processed clauses : 167
% 0.14/0.48 % ...of these trivial : 3
% 0.14/0.48 % ...subsumed : 81
% 0.14/0.48 % ...remaining for further processing : 83
% 0.14/0.48 % Other redundant clauses eliminated : 0
% 0.14/0.48 % Clauses deleted for lack of memory : 0
% 0.14/0.48 % Backward-subsumed : 3
% 0.14/0.48 % Backward-rewritten : 9
% 0.14/0.48 % Generated clauses : 1243
% 0.14/0.48 % ...of the previous two non-redundant : 822
% 0.14/0.48 % ...aggressively subsumed : 0
% 0.14/0.48 % Contextual simplify-reflections : 0
% 0.14/0.48 % Paramodulations : 1241
% 0.14/0.48 % Factorizations : 0
% 0.14/0.48 % NegExts : 0
% 0.14/0.48 % Equation resolutions : 2
% 0.14/0.48 % Disequality decompositions : 0
% 0.14/0.48 % Total rewrite steps : 388
% 0.14/0.48 % ...of those cached : 277
% 0.14/0.48 % Propositional unsat checks : 0
% 0.14/0.48 % Propositional check models : 0
% 0.14/0.48 % Propositional check unsatisfiable : 0
% 0.14/0.48 % Propositional clauses : 0
% 0.14/0.48 % Propositional clauses after purity: 0
% 0.14/0.48 % Propositional unsat core size : 0
% 0.14/0.48 % Propositional preprocessing time : 0.000
% 0.14/0.48 % Propositional encoding time : 0.000
% 0.14/0.48 % Propositional solver time : 0.000
% 0.14/0.48 % Success case prop preproc time : 0.000
% 0.14/0.48 % Success case prop encoding time : 0.000
% 0.14/0.48 % Success case prop solver time : 0.000
% 0.14/0.48 % Current number of processed clauses : 71
% 0.14/0.48 % Positive orientable unit clauses : 14
% 0.14/0.48 % Positive unorientable unit clauses: 0
% 0.14/0.48 % Negative unit clauses : 3
% 0.14/0.48 % Non-unit-clauses : 54
% 0.14/0.48 % Current number of unprocessed clauses: 646
% 0.14/0.48 % ...number of literals in the above : 1455
% 0.14/0.48 % Current number of archived formulas : 0
% 0.14/0.48 % Current number of archived clauses : 12
% 0.14/0.48 % Clause-clause subsumption calls (NU) : 881
% 0.14/0.48 % Rec. Clause-clause subsumption calls : 881
% 0.14/0.48 % Non-unit clause-clause subsumptions : 84
% 0.14/0.48 % Unit Clause-clause subsumption calls : 38
% 0.14/0.48 % Rewrite failures with RHS unbound : 0
% 0.14/0.48 % BW rewrite match attempts : 114
% 0.14/0.48 % BW rewrite match successes : 9
% 0.14/0.48 % Condensation attempts : 0
% 0.14/0.48 % Condensation successes : 0
% 0.14/0.48 % Termbank termtop insertions : 31226
% 0.14/0.48 % Search garbage collected termcells : 2716
% 0.14/0.48
% 0.14/0.48 % -------------------------------------------------
% 0.14/0.48 % User time : 0.023 s
% 0.14/0.48 % System time : 0.009 s
% 0.14/0.48 % Total time : 0.032 s
% 0.14/0.48 % Maximum resident set size: 4584 pages
% 0.14/0.48
% 0.14/0.48 % -------------------------------------------------
% 0.14/0.48 % User time : 0.042 s
% 0.14/0.48 % System time : 0.016 s
% 0.14/0.48 % Total time : 0.058 s
% 0.14/0.48 % Maximum resident set size: 5632 pages
% 0.14/0.48 % E exiting
%------------------------------------------------------------------------------