%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV843-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 03:07:00 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.88s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 47 ( 21 unt; 0 nHn; 29 RR)
% Number of literals : 87 ( 12 equ; 46 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-4 aty)
% Number of variables : 74 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_sup__max_0,axiom,
( ~ class_Lattices_Oupper__semilattice(X1)
| ~ class_Orderings_Olinorder(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Orderings_Oord__class_Omax(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__max_0) ).
cnf(cls_finite_0,axiom,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_0) ).
cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X2)
| class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).
cnf(cls_Max__def__raw_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__def__raw_0) ).
cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(cls_double__compl_0,axiom,
( ~ class_Lattices_Oboolean__algebra(X1)
| hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__compl_0) ).
cnf(cls_Suc__n__not__le__n_0,axiom,
~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_0) ).
cnf(cls_Max__ge_0,axiom,
( ~ c_Finite__Set_Ofinite(X3,X1)
| ~ hBOOL(c_in(X2,X3,X1))
| ~ class_Orderings_Olinorder(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__ge_0) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
cnf(cls_rangeI_0,axiom,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).
cnf(cls_finite__imageI_0,axiom,
( ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
cnf(c_0_13,plain,
( ~ class_Lattices_Oupper__semilattice(X1)
| ~ class_Orderings_Olinorder(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Orderings_Oord__class_Omax(X1) ),
inference(fof_simplification,[status(thm)],[cls_sup__max_0]) ).
cnf(c_0_14,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_finite_0]) ).
cnf(c_0_15,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X2)
| class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2)) ),
inference(fof_simplification,[status(thm)],[clsarity_fun__Finite__Set_Ofinite_Ofinite]) ).
cnf(c_0_16,plain,
( ~ class_Orderings_Olinorder(X1)
| c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_Max__def__raw_0]) ).
cnf(c_0_17,plain,
( ~ class_Lattices_Oupper__semilattice(X1)
| ~ class_Orderings_Olinorder(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X1) = c_Orderings_Oord__class_Omax(X1) ),
c_0_13 ).
cnf(c_0_18,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
clsarity_nat__Lattices_Oupper__semilattice ).
cnf(c_0_19,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder ).
cnf(c_0_20,plain,
( ~ class_Lattices_Oboolean__algebra(X1)
| hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
inference(fof_simplification,[status(thm)],[cls_double__compl_0]) ).
cnf(c_0_21,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
c_0_14 ).
cnf(c_0_22,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X2)
| class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2)) ),
c_0_15 ).
cnf(c_0_23,plain,
~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X1)),
inference(fof_simplification,[status(thm)],[cls_Suc__n__not__le__n_0]) ).
cnf(c_0_24,plain,
( ~ c_Finite__Set_Ofinite(X3,X1)
| ~ hBOOL(c_in(X2,X3,X1))
| ~ class_Orderings_Olinorder(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))) ),
inference(fof_simplification,[status(thm)],[cls_Max__ge_0]) ).
cnf(c_0_25,plain,
( ~ class_Orderings_Olinorder(X1)
| c_Finite__Set_Olinorder__class_OMax(X1) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(X1),X1) ),
c_0_16 ).
cnf(c_0_26,plain,
c_Orderings_Oord__class_Omax(tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(tc_nat),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_27,plain,
( ~ class_Lattices_Oboolean__algebra(X1)
| hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
c_0_20 ).
cnf(c_0_28,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
clsarity_bool__Lattices_Oboolean__algebra ).
cnf(c_0_29,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X3)
| c_Finite__Set_Ofinite(X1,tc_fun(X2,X3)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
clsarity_bool__Finite__Set_Ofinite_Ofinite ).
cnf(c_0_31,plain,
~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X1)),
c_0_23 ).
cnf(c_0_32,plain,
( ~ c_Finite__Set_Ofinite(X3,X1)
| ~ hBOOL(c_in(X2,X3,X1))
| ~ class_Orderings_Olinorder(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))) ),
c_0_24 ).
cnf(c_0_33,plain,
c_Finite__Set_Olinorder__class_OMax(tc_nat) = c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19])]) ).
cnf(c_0_34,axiom,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
cls_rangeI_0 ).
cnf(c_0_35,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),X1)) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X2)
| c_Finite__Set_Ofinite(X1,tc_fun(X2,tc_bool)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( ~ hBOOL(c_in(c_Suc(hAPP(c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat),X1)),X1,tc_nat))
| ~ c_Finite__Set_Ofinite(X1,tc_nat) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_19])]) ).
cnf(c_0_38,plain,
hBOOL(c_in(X1,c_Set_Oimage(c_HOL_Ouminus__class_Ouminus(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
( ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[cls_finite__imageI_0]) ).
cnf(c_0_40,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X3)
| c_Finite__Set_Ofinite(X1,tc_fun(tc_fun(X2,X3),tc_bool)) ),
inference(spm,[status(thm)],[c_0_36,c_0_22]) ).
cnf(c_0_41,plain,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_HOL_Ouminus__class_Ouminus(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_nat),tc_nat),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
( ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4) ),
c_0_39 ).
cnf(c_0_43,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X2)
| c_Finite__Set_Ofinite(X1,tc_fun(tc_fun(X2,tc_bool),tc_bool)) ),
inference(spm,[status(thm)],[c_0_40,c_0_30]) ).
cnf(c_0_44,plain,
~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
c_Finite__Set_Ofinite(X1,tc_fun(tc_fun(tc_bool,tc_bool),tc_bool)),
inference(spm,[status(thm)],[c_0_43,c_0_30]) ).
cnf(c_0_46,plain,
$false,
inference(spm,[status(thm)],[c_0_44,c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV843-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.58 % Computer : n011.cluster.edu
% 0.12/0.58 % Model : x86_64 x86_64
% 0.12/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.58 % Memory : 8046.5625MB
% 0.12/0.58 % OS : Linux 6.8.0-71-generic
% 0.12/0.58 % CPULimit : 300
% 0.12/0.58 % WCLimit : 300
% 0.12/0.58 % DateTime : Mon Sep 21 09:28:26 UTC 2026
% 0.12/0.59 % CPUTime :
% 0.12/0.59 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.63 Running first-order theorem proving
% 0.15/0.63 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
% 0.15/0.88 % Version: 3.5.1
% 0.15/0.88 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.88 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.88 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.88 % Starting sh5l with 300s (1) cores
% 0.15/0.88 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1560973 completed with status 0
% 0.15/0.88 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.88 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.88 % No SInE strategy applied
% 0.15/0.88 % Search class: FGHSM-SSLM32-DFFFFFNN
% 0.15/0.88 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.88 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.88 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 0.15/0.88 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 0.15/0.88 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 0.15/0.88 % SubtermCWHack with pid 1560992 completed with status 0
% 0.15/0.88 % Result found by SubtermCWHack
% 0.15/0.88 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.88 % No SInE strategy applied
% 0.15/0.88 % Search class: FGHSM-SSLM32-DFFFFFNN
% 0.15/0.88 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.88 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.88 % Preprocessing time : 0.014 s
% 0.15/0.88
% 0.15/0.88 % Proof found!
% 0.15/0.88 % SZS status Unsatisfiable
% 0.15/0.88 % SZS output start CNFRefutation
% See solution above
% 0.15/0.88 % Parsed axioms : 1041
% 0.15/0.88 % Removed by relevancy pruning/SinE : 0
% 0.15/0.88 % Initial clauses : 1041
% 0.15/0.88 % Removed in clause preprocessing : 1
% 0.15/0.88 % Initial clauses in saturation : 1040
% 0.15/0.88 % Processed clauses : 2325
% 0.15/0.88 % ...of these trivial : 128
% 0.15/0.88 % ...subsumed : 1252
% 0.15/0.88 % ...remaining for further processing : 945
% 0.15/0.88 % Other redundant clauses eliminated : 130
% 0.15/0.88 % Clauses deleted for lack of memory : 0
% 0.15/0.88 % Backward-subsumed : 13
% 0.15/0.88 % Backward-rewritten : 14
% 0.15/0.88 % Generated clauses : 7462
% 0.15/0.88 % ...of the previous two non-redundant : 5320
% 0.15/0.88 % ...aggressively subsumed : 0
% 0.15/0.88 % Contextual simplify-reflections : 0
% 0.15/0.88 % Paramodulations : 7317
% 0.15/0.88 % Factorizations : 4
% 0.15/0.88 % NegExts : 0
% 0.15/0.88 % Equation resolutions : 141
% 0.15/0.88 % Disequality decompositions : 0
% 0.15/0.88 % Total rewrite steps : 3489
% 0.15/0.88 % ...of those cached : 2893
% 0.15/0.88 % Propositional unsat checks : 0
% 0.15/0.88 % Propositional check models : 0
% 0.15/0.88 % Propositional check unsatisfiable : 0
% 0.15/0.88 % Propositional clauses : 0
% 0.15/0.88 % Propositional clauses after purity: 0
% 0.15/0.88 % Propositional unsat core size : 0
% 0.15/0.88 % Propositional preprocessing time : 0.000
% 0.15/0.88 % Propositional encoding time : 0.000
% 0.15/0.88 % Propositional solver time : 0.000
% 0.15/0.88 % Success case prop preproc time : 0.000
% 0.15/0.88 % Success case prop encoding time : 0.000
% 0.15/0.88 % Success case prop solver time : 0.000
% 0.15/0.88 % Current number of processed clauses : 918
% 0.15/0.88 % Positive orientable unit clauses : 286
% 0.15/0.88 % Positive unorientable unit clauses: 9
% 0.15/0.88 % Negative unit clauses : 53
% 0.15/0.88 % Non-unit-clauses : 570
% 0.15/0.88 % Current number of unprocessed clauses: 3954
% 0.15/0.88 % ...number of literals in the above : 9498
% 0.15/0.88 % Current number of archived formulas : 0
% 0.15/0.88 % Current number of archived clauses : 28
% 0.15/0.88 % Clause-clause subsumption calls (NU) : 64017
% 0.15/0.88 % Rec. Clause-clause subsumption calls : 46150
% 0.15/0.88 % Non-unit clause-clause subsumptions : 848
% 0.15/0.88 % Unit Clause-clause subsumption calls : 2202
% 0.15/0.88 % Rewrite failures with RHS unbound : 0
% 0.15/0.88 % BW rewrite match attempts : 2451
% 0.15/0.88 % BW rewrite match successes : 72
% 0.15/0.88 % Condensation attempts : 0
% 0.15/0.88 % Condensation successes : 0
% 0.15/0.88 % Termbank termtop insertions : 157531
% 0.15/0.88 % Search garbage collected termcells : 1954
% 0.15/0.88
% 0.15/0.88 % -------------------------------------------------
% 0.15/0.88 % User time : 0.203 s
% 0.15/0.88 % System time : 0.015 s
% 0.15/0.88 % Total time : 0.218 s
% 0.15/0.88 % Maximum resident set size: 5792 pages
% 0.15/0.88
% 0.15/0.88 % -------------------------------------------------
% 0.15/0.88 % User time : 0.944 s
% 0.15/0.88 % System time : 0.060 s
% 0.15/0.88 % Total time : 1.005 s
% 0.15/0.88 % Maximum resident set size: 5376 pages
% 0.15/0.88 % E exiting
%------------------------------------------------------------------------------