%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET822-1 : 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 : n018.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 02:18:36 PM UTC 2026
% Result : Unsatisfiable 0.64s 0.62s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 18 ( 9 unt; 0 nHn; 14 RR)
% Number of literals : 27 ( 4 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(v_f(X1),X2,tc_IntDef_Oint)
| c_in(v_x(X1,X2),X2,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ v_P(v_x(X1,X2))
| ~ c_in(v_f(X1),X2,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_OsingletonD__dest_0,axiom,
( ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsingletonD__dest_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_conjecture_0,negated_conjecture,
v_P(v_f(v_b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_5,negated_conjecture,
( ~ c_in(v_f(X1),X2,tc_IntDef_Oint)
| c_in(v_x(X1,X2),X2,tc_IntDef_Oint) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_6,negated_conjecture,
( ~ v_P(v_x(X1,X2))
| ~ c_in(v_f(X1),X2,tc_IntDef_Oint) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_7,plain,
( ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[cls_Set_OsingletonD__dest_0]) ).
cnf(c_0_8,negated_conjecture,
( ~ c_in(v_f(X1),X2,tc_IntDef_Oint)
| c_in(v_x(X1,X2),X2,tc_IntDef_Oint) ),
c_0_5 ).
cnf(c_0_9,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
cls_Set_OinsertCI_1 ).
cnf(c_0_10,negated_conjecture,
( ~ v_P(v_x(X1,X2))
| ~ c_in(v_f(X1),X2,tc_IntDef_Oint) ),
c_0_6 ).
cnf(c_0_11,plain,
( ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3)
| X1 = X2 ),
c_0_7 ).
cnf(c_0_12,negated_conjecture,
c_in(v_x(X1,c_insert(v_f(X1),X2,tc_IntDef_Oint)),c_insert(v_f(X1),X2,tc_IntDef_Oint),tc_IntDef_Oint),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
~ v_P(v_x(X1,c_insert(v_f(X1),X2,tc_IntDef_Oint))),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
v_x(X1,c_insert(v_f(X1),c_emptyset,tc_IntDef_Oint)) = v_f(X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
v_P(v_f(v_b)),
cls_conjecture_0 ).
cnf(c_0_16,negated_conjecture,
~ v_P(v_f(X1)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET822-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:41:58 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.64/0.62 % Version: 3.5.1
% 0.64/0.62 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.64/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.64/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.64/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.64/0.62 % Starting sh5l with 300s (1) cores
% 0.64/0.62 % new_bool_3 with pid 1082947 completed with status 9
% 0.64/0.62 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1082946 completed with status 0
% 0.64/0.62 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.64/0.62 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.64/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.64/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.64/0.62 % No SInE strategy applied
% 0.64/0.62 % Search class: FGHSM-SSLM33-MFFFFFNN
% 0.64/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.64/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.64/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.64/0.62 % Starting G-E--_200_B02_F1_AE_CS_SP_PI_S2k with 136s (1) cores
% 0.64/0.62 % Starting new_bool_3 with 136s (1) cores
% 0.64/0.62 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.64/0.62 % G-E--_200_B02_F1_AE_CS_SP_PI_S2k with pid 1082956 completed with status 0
% 0.64/0.62 % Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S2k
% 0.64/0.62 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.64/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.64/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.64/0.62 % No SInE strategy applied
% 0.64/0.62 % Search class: FGHSM-SSLM33-MFFFFFNN
% 0.64/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.64/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.64/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.64/0.62 % Starting G-E--_200_B02_F1_AE_CS_SP_PI_S2k with 136s (1) cores
% 0.64/0.62 % Preprocessing time : 0.011 s
% 0.64/0.62
% 0.64/0.62 % Proof found!
% 0.64/0.62 % SZS status Unsatisfiable
% 0.64/0.62 % SZS output start CNFRefutation
% See solution above
% 0.64/0.62 % Parsed axioms : 1360
% 0.64/0.62 % Removed by relevancy pruning/SinE : 0
% 0.64/0.62 % Initial clauses : 1360
% 0.64/0.62 % Removed in clause preprocessing : 1
% 0.64/0.62 % Initial clauses in saturation : 1359
% 0.64/0.62 % Processed clauses : 1947
% 0.64/0.62 % ...of these trivial : 10
% 0.64/0.62 % ...subsumed : 343
% 0.64/0.62 % ...remaining for further processing : 1594
% 0.64/0.62 % Other redundant clauses eliminated : 4
% 0.64/0.62 % Clauses deleted for lack of memory : 0
% 0.64/0.62 % Backward-subsumed : 3
% 0.64/0.62 % Backward-rewritten : 29
% 0.64/0.62 % Generated clauses : 2956
% 0.64/0.62 % ...of the previous two non-redundant : 1819
% 0.64/0.62 % ...aggressively subsumed : 0
% 0.64/0.62 % Contextual simplify-reflections : 0
% 0.64/0.62 % Paramodulations : 2918
% 0.64/0.62 % Factorizations : 0
% 0.64/0.62 % NegExts : 0
% 0.64/0.62 % Equation resolutions : 37
% 0.64/0.62 % Disequality decompositions : 0
% 0.64/0.62 % Total rewrite steps : 1325
% 0.64/0.62 % ...of those cached : 1066
% 0.64/0.62 % Propositional unsat checks : 0
% 0.64/0.62 % Propositional check models : 0
% 0.64/0.62 % Propositional check unsatisfiable : 0
% 0.64/0.62 % Propositional clauses : 0
% 0.64/0.62 % Propositional clauses after purity: 0
% 0.64/0.62 % Propositional unsat core size : 0
% 0.64/0.62 % Propositional preprocessing time : 0.000
% 0.64/0.62 % Propositional encoding time : 0.000
% 0.64/0.62 % Propositional solver time : 0.000
% 0.64/0.62 % Success case prop preproc time : 0.000
% 0.64/0.62 % Success case prop encoding time : 0.000
% 0.64/0.62 % Success case prop solver time : 0.000
% 0.64/0.62 % Current number of processed clauses : 1561
% 0.64/0.62 % Positive orientable unit clauses : 213
% 0.64/0.62 % Positive unorientable unit clauses: 1
% 0.64/0.62 % Negative unit clauses : 100
% 0.64/0.62 % Non-unit-clauses : 1247
% 0.64/0.62 % Current number of unprocessed clauses: 1204
% 0.64/0.62 % ...number of literals in the above : 2039
% 0.64/0.62 % Current number of archived formulas : 0
% 0.64/0.62 % Current number of archived clauses : 33
% 0.64/0.62 % Clause-clause subsumption calls (NU) : 423628
% 0.64/0.62 % Rec. Clause-clause subsumption calls : 391011
% 0.64/0.62 % Non-unit clause-clause subsumptions : 300
% 0.64/0.62 % Unit Clause-clause subsumption calls : 10614
% 0.64/0.62 % Rewrite failures with RHS unbound : 0
% 0.64/0.62 % BW rewrite match attempts : 107
% 0.64/0.62 % BW rewrite match successes : 35
% 0.64/0.62 % Condensation attempts : 0
% 0.64/0.62 % Condensation successes : 0
% 0.64/0.62 % Termbank termtop insertions : 65430
% 0.64/0.62 % Search garbage collected termcells : 1593
% 0.64/0.62
% 0.64/0.62 % -------------------------------------------------
% 0.64/0.62 % User time : 0.173 s
% 0.64/0.62 % System time : 0.015 s
% 0.64/0.62 % Total time : 0.188 s
% 0.64/0.62 % Maximum resident set size: 5628 pages
% 0.64/0.62
% 0.64/0.62 % -------------------------------------------------
% 0.64/0.62 % User time : 0.863 s
% 0.64/0.62 % System time : 0.075 s
% 0.64/0.62 % Total time : 0.938 s
% 0.64/0.62 % Maximum resident set size: 5376 pages
% 0.64/0.62 % E exiting
%------------------------------------------------------------------------------