%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL433-1 : 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 : n007.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 01:19:27 PM UTC 2026
% Result : Unsatisfiable 58.91s 9.17s
% Output : CNFRefutation 58.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 12 unt; 0 nHn; 21 RR)
% Number of literals : 47 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 62 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_Osat__imp_0,axiom,
( ~ c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3)
| c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL005-0.ax',cls_PropLog_Othms_OH_0) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ c_PropLog_Osat(v_F,X1,t_a)
| c_in(X1,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_2,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
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_Set_OinsertCI_1,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).
cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_8,plain,
( ~ c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3)
| c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3) ),
inference(fof_simplification,[status(thm)],[cls_PropLog_Osat__imp_0]) ).
cnf(c_0_9,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(fof_simplification,[status(thm)],[cls_PropLog_Othms_OH_0]) ).
cnf(c_0_10,negated_conjecture,
( ~ c_PropLog_Osat(v_F,X1,t_a)
| c_in(X1,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_11,plain,
( ~ c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3)
| c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3) ),
c_0_8 ).
cnf(c_0_12,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
cls_conjecture_2 ).
cnf(c_0_13,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_14,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
c_0_9 ).
cnf(c_0_15,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
cls_Set_OinsertCI_1 ).
cnf(c_0_16,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(fof_simplification,[status(thm)],[cls_PropLog_Oweaken__left__insert_0]) ).
cnf(c_0_17,negated_conjecture,
( ~ c_PropLog_Osat(v_F,X1,t_a)
| c_in(X1,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
c_0_10 ).
cnf(c_0_18,negated_conjecture,
c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,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_13 ).
cnf(c_0_20,plain,
c_in(X1,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
c_0_16 ).
cnf(c_0_22,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_24,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X1,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
c_0_23 ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL433-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n007.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 00:29:50 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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
% 58.91/9.17 % Version: 3.5.1
% 58.91/9.17 % Preprocessing class: FMLMSMSMSSSNFFN.
% 58.91/9.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 58.91/9.17 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 58.91/9.17 % Starting new_bool_3 with 300s (1) cores
% 58.91/9.17 % Starting new_bool_1 with 300s (1) cores
% 58.91/9.17 % Starting sh5l with 300s (1) cores
% 58.91/9.17 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3967882 completed with status 0
% 58.91/9.17 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 58.91/9.17 % Preprocessing class: FMLMSMSMSSSNFFN.
% 58.91/9.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 58.91/9.17 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 58.91/9.17 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 58.91/9.17 % No SInE strategy applied
% 58.91/9.17 % Search class: FGHSM-SSLM33-MFFFFFNN
% 58.91/9.17 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 58.91/9.17 % Starting SubtermCWHack with 136s (1) cores
% 58.91/9.17 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 58.91/9.17 % Starting G-E--_200_B02_F1_AE_CS_SP_PI_S2k with 136s (1) cores
% 58.91/9.17 % Starting new_bool_3 with 136s (1) cores
% 58.91/9.17 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 58.91/9.17 % G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 3967892 completed with status 0
% 58.91/9.17 % Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 58.91/9.17 % Preprocessing class: FMLMSMSMSSSNFFN.
% 58.91/9.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 58.91/9.17 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 58.91/9.17 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 58.91/9.17 % No SInE strategy applied
% 58.91/9.17 % Search class: FGHSM-SSLM33-MFFFFFNN
% 58.91/9.17 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 58.91/9.17 % Starting SubtermCWHack with 136s (1) cores
% 58.91/9.17 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 58.91/9.17 % Starting G-E--_200_B02_F1_AE_CS_SP_PI_S2k with 136s (1) cores
% 58.91/9.17 % Starting new_bool_3 with 136s (1) cores
% 58.91/9.17 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 58.91/9.17 % Preprocessing time : 0.009 s
% 58.91/9.17
% 58.91/9.17 % Proof found!
% 58.91/9.17 % SZS status Unsatisfiable
% 58.91/9.17 % SZS output start CNFRefutation
% See solution above
% 58.91/9.17 % Parsed axioms : 1378
% 58.91/9.17 % Removed by relevancy pruning/SinE : 0
% 58.91/9.17 % Initial clauses : 1378
% 58.91/9.17 % Removed in clause preprocessing : 1
% 58.91/9.17 % Initial clauses in saturation : 1377
% 58.91/9.17 % Processed clauses : 21051
% 58.91/9.17 % ...of these trivial : 697
% 58.91/9.17 % ...subsumed : 8223
% 58.91/9.17 % ...remaining for further processing : 12131
% 58.91/9.17 % Other redundant clauses eliminated : 14
% 58.91/9.17 % Clauses deleted for lack of memory : 0
% 58.91/9.17 % Backward-subsumed : 231
% 58.91/9.17 % Backward-rewritten : 576
% 58.91/9.17 % Generated clauses : 274822
% 58.91/9.17 % ...of the previous two non-redundant : 238167
% 58.91/9.17 % ...aggressively subsumed : 0
% 58.91/9.17 % Contextual simplify-reflections : 6
% 58.91/9.17 % Paramodulations : 274767
% 58.91/9.17 % Factorizations : 6
% 58.91/9.17 % NegExts : 0
% 58.91/9.17 % Equation resolutions : 49
% 58.91/9.17 % Disequality decompositions : 0
% 58.91/9.17 % Total rewrite steps : 62928
% 58.91/9.17 % ...of those cached : 51318
% 58.91/9.17 % Propositional unsat checks : 0
% 58.91/9.17 % Propositional check models : 0
% 58.91/9.17 % Propositional check unsatisfiable : 0
% 58.91/9.17 % Propositional clauses : 0
% 58.91/9.17 % Propositional clauses after purity: 0
% 58.91/9.17 % Propositional unsat core size : 0
% 58.91/9.17 % Propositional preprocessing time : 0.000
% 58.91/9.17 % Propositional encoding time : 0.000
% 58.91/9.17 % Propositional solver time : 0.000
% 58.91/9.17 % Success case prop preproc time : 0.000
% 58.91/9.17 % Success case prop encoding time : 0.000
% 58.91/9.17 % Success case prop solver time : 0.000
% 58.91/9.17 % Current number of processed clauses : 11324
% 58.91/9.17 % Positive orientable unit clauses : 2055
% 58.91/9.17 % Positive unorientable unit clauses: 1
% 58.91/9.17 % Negative unit clauses : 2735
% 58.91/9.17 % Non-unit-clauses : 6533
% 58.91/9.17 % Current number of unprocessed clauses: 217156
% 58.91/9.17 % ...number of literals in the above : 351728
% 58.91/9.17 % Current number of archived formulas : 0
% 58.91/9.17 % Current number of archived clauses : 807
% 58.91/9.17 % Clause-clause subsumption calls (NU) : 4691299
% 58.91/9.17 % Rec. Clause-clause subsumption calls : 4340416
% 58.91/9.17 % Non-unit clause-clause subsumptions : 4696
% 58.91/9.17 % Unit Clause-clause subsumption calls : 356414
% 58.91/9.17 % Rewrite failures with RHS unbound : 0
% 58.91/9.17 % BW rewrite match attempts : 12918
% 58.91/9.17 % BW rewrite match successes : 222
% 58.91/9.17 % Condensation attempts : 0
% 58.91/9.17 % Condensation successes : 0
% 58.91/9.17 % Termbank termtop insertions : 7016853
% 58.91/9.17 % Search garbage collected termcells : 1634
% 58.91/9.17
% 58.91/9.17 % -------------------------------------------------
% 58.91/9.17 % User time : 8.197 s
% 58.91/9.17 % System time : 0.281 s
% 58.91/9.17 % Total time : 8.478 s
% 58.91/9.17 % Maximum resident set size: 5644 pages
% 58.91/9.17
% 58.91/9.17 % -------------------------------------------------
% 58.91/9.17 % User time : 40.434 s
% 58.91/9.17 % System time : 1.443 s
% 58.91/9.17 % Total time : 41.878 s
% 58.91/9.17 % Maximum resident set size: 5632 pages
% 58.91/9.17 % E exiting
%------------------------------------------------------------------------------