%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET842-1 : 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 02:15:33 PM UTC 2026
% Result : Unsatisfiable 0.77s 0.53s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 4 unt; 3 nHn; 22 RR)
% Number of literals : 51 ( 0 equ; 26 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ c_in(X1,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X1,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Set_OUnionE_0,axiom,
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_0) ).
cnf(cls_Set_OUnionE_1,axiom,
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_1) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_7,plain,
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetD_0]) ).
cnf(c_0_8,negated_conjecture,
( ~ c_in(X1,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X1,v_m,tc_set(tc_set(t_a))) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_9,plain,
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
c_0_7 ).
cnf(c_0_10,negated_conjecture,
( ~ c_in(X1,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X1,v_m,tc_set(tc_set(t_a))) ),
c_0_8 ).
cnf(c_0_11,plain,
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_OUnionE_0]) ).
cnf(c_0_12,negated_conjecture,
( ~ c_in(X1,X2,tc_set(t_a))
| ~ c_in(X2,v_Y,tc_set(tc_set(t_a)))
| c_in(X1,v_m,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ),
c_0_11 ).
cnf(c_0_14,plain,
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
inference(fof_simplification,[status(thm)],[cls_Set_OUnionE_1]) ).
cnf(c_0_15,negated_conjecture,
( ~ c_in(X2,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X1,c_Main_OUnionE__1(X2,v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X1,v_m,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
c_0_14 ).
cnf(c_0_17,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).
cnf(c_0_18,negated_conjecture,
( ~ c_in(X1,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X1,v_m,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_20,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_21,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
c_0_17 ).
cnf(c_0_22,negated_conjecture,
( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X1,tc_set(t_a)),v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
c_0_20 ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET842-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % 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 05:40:53 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.77/0.53 % Version: 3.5.1
% 0.77/0.53 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.77/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.77/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.77/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.77/0.53 % Starting sh5l with 300s (1) cores
% 0.77/0.53 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1663905 completed with status 0
% 0.77/0.53 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.77/0.53 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.77/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.77/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.77/0.53 % No SInE strategy applied
% 0.77/0.53 % Search class: FGHSM-SSLM33-MFFFFFNN
% 0.77/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.77/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.77/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.77/0.53 % Starting G-E--_200_B02_F1_AE_CS_SP_PI_S2k with 136s (1) cores
% 0.77/0.53 % Starting new_bool_3 with 136s (1) cores
% 0.77/0.53 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.77/0.53 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1663912 completed with status 0
% 0.77/0.53 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.77/0.53 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.77/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.77/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.77/0.53 % No SInE strategy applied
% 0.77/0.53 % Search class: FGHSM-SSLM33-MFFFFFNN
% 0.77/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.77/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.77/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.77/0.53 % Preprocessing time : 0.007 s
% 0.77/0.53 % Presaturation interreduction done
% 0.77/0.53
% 0.77/0.53 % Proof found!
% 0.77/0.53 % SZS status Unsatisfiable
% 0.77/0.53 % SZS output start CNFRefutation
% See solution above
% 0.77/0.53 % Parsed axioms : 1363
% 0.77/0.53 % Removed by relevancy pruning/SinE : 0
% 0.77/0.53 % Initial clauses : 1363
% 0.77/0.53 % Removed in clause preprocessing : 1
% 0.77/0.53 % Initial clauses in saturation : 1362
% 0.77/0.53 % Processed clauses : 5426
% 0.77/0.53 % ...of these trivial : 9
% 0.77/0.53 % ...subsumed : 2700
% 0.77/0.53 % ...remaining for further processing : 2717
% 0.77/0.53 % Other redundant clauses eliminated : 31
% 0.77/0.53 % Clauses deleted for lack of memory : 0
% 0.77/0.53 % Backward-subsumed : 0
% 0.77/0.53 % Backward-rewritten : 6
% 0.77/0.53 % Generated clauses : 4671
% 0.77/0.53 % ...of the previous two non-redundant : 3763
% 0.77/0.53 % ...aggressively subsumed : 0
% 0.77/0.53 % Contextual simplify-reflections : 1
% 0.77/0.53 % Paramodulations : 4610
% 0.77/0.53 % Factorizations : 0
% 0.77/0.53 % NegExts : 0
% 0.77/0.53 % Equation resolutions : 61
% 0.77/0.53 % Disequality decompositions : 0
% 0.77/0.53 % Total rewrite steps : 838
% 0.77/0.53 % ...of those cached : 720
% 0.77/0.53 % Propositional unsat checks : 0
% 0.77/0.53 % Propositional check models : 0
% 0.77/0.53 % Propositional check unsatisfiable : 0
% 0.77/0.53 % Propositional clauses : 0
% 0.77/0.53 % Propositional clauses after purity: 0
% 0.77/0.53 % Propositional unsat core size : 0
% 0.77/0.53 % Propositional preprocessing time : 0.000
% 0.77/0.53 % Propositional encoding time : 0.000
% 0.77/0.53 % Propositional solver time : 0.000
% 0.77/0.53 % Success case prop preproc time : 0.000
% 0.77/0.53 % Success case prop encoding time : 0.000
% 0.77/0.53 % Success case prop solver time : 0.000
% 0.77/0.53 % Current number of processed clauses : 1385
% 0.77/0.53 % Positive orientable unit clauses : 186
% 0.77/0.53 % Positive unorientable unit clauses: 0
% 0.77/0.53 % Negative unit clauses : 29
% 0.77/0.53 % Non-unit-clauses : 1170
% 0.77/0.53 % Current number of unprocessed clauses: 1021
% 0.77/0.53 % ...number of literals in the above : 2583
% 0.77/0.53 % Current number of archived formulas : 0
% 0.77/0.53 % Current number of archived clauses : 1332
% 0.77/0.53 % Clause-clause subsumption calls (NU) : 1272925
% 0.77/0.53 % Rec. Clause-clause subsumption calls : 1202838
% 0.77/0.53 % Non-unit clause-clause subsumptions : 2679
% 0.77/0.53 % Unit Clause-clause subsumption calls : 14544
% 0.77/0.53 % Rewrite failures with RHS unbound : 0
% 0.77/0.53 % BW rewrite match attempts : 74
% 0.77/0.53 % BW rewrite match successes : 6
% 0.77/0.53 % Condensation attempts : 0
% 0.77/0.53 % Condensation successes : 0
% 0.77/0.53 % Termbank termtop insertions : 82443
% 0.77/0.53 % Search garbage collected termcells : 1601
% 0.77/0.53
% 0.77/0.53 % -------------------------------------------------
% 0.77/0.53 % User time : 0.169 s
% 0.77/0.53 % System time : 0.008 s
% 0.77/0.53 % Total time : 0.178 s
% 0.77/0.53 % Maximum resident set size: 5576 pages
% 0.77/0.53
% 0.77/0.53 % -------------------------------------------------
% 0.77/0.53 % User time : 0.810 s
% 0.77/0.53 % System time : 0.057 s
% 0.77/0.53 % Total time : 0.867 s
% 0.77/0.53 % Maximum resident set size: 5632 pages
% 0.77/0.53 % E exiting
%------------------------------------------------------------------------------