%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV926-1 : 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 : n019.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 03:00:12 PM UTC 2026
% Result : Unsatisfiable 0.67s 0.91s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of clauses : 60 ( 30 unt; 0 nHn; 32 RR)
% Number of literals : 105 ( 19 equ; 50 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 116 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_5,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ad,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
( ~ class_Lattices_Olattice(X2)
| class_Lattices_Oupper__semilattice(tc_fun(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
cnf(cls_le__supE_0,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_0) ).
cnf(cls_sup__ge1_0,axiom,
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
cnf(cls_le__iff__sup_0,axiom,
( ~ c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_sup__ge2_0,axiom,
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
cnf(cls_Un__absorb1_0,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
cnf(cls_conjecture_7,negated_conjecture,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_conjecture_3,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Un__assoc_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
cnf(cls_le__supI2_0,axiom,
( ~ c_lessequals(X2,X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI2_0) ).
cnf(cls_le__supI1_0,axiom,
( ~ c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI1_0) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
cnf(c_0_17,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ad,
cls_conjecture_5 ).
cnf(c_0_18,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
cls_Un__commute_0 ).
cnf(c_0_19,plain,
( ~ class_Lattices_Olattice(X2)
| class_Lattices_Oupper__semilattice(tc_fun(X1,X2)) ),
inference(fof_simplification,[status(thm)],[clsarity_fun__Lattices_Oupper__semilattice]) ).
cnf(c_0_20,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_le__supE_0]) ).
cnf(c_0_21,plain,
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_sup__ge1_0]) ).
cnf(c_0_22,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3 ),
inference(fof_simplification,[status(thm)],[cls_le__iff__sup_0]) ).
cnf(c_0_23,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper1_0 ).
cnf(c_0_24,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(v_ae,c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ad,
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
( ~ class_Lattices_Olattice(X2)
| class_Lattices_Oupper__semilattice(tc_fun(X1,X2)) ),
c_0_19 ).
cnf(c_0_26,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice ).
cnf(c_0_27,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X3,X1) ),
c_0_20 ).
cnf(c_0_28,plain,
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) ),
c_0_21 ).
cnf(c_0_29,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3 ),
c_0_22 ).
cnf(c_0_30,negated_conjecture,
c_lessequals(v_ae,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
class_Lattices_Oupper__semilattice(tc_fun(X1,tc_bool)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3),X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(v_ae,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ad,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_34,negated_conjecture,
c_lessequals(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
cls_conjecture_0 ).
cnf(c_0_35,plain,
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_sup__ge2_0]) ).
cnf(c_0_36,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
inference(fof_simplification,[status(thm)],[cls_Un__absorb1_0]) ).
cnf(c_0_37,negated_conjecture,
c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ad,X1,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_31])]) ).
cnf(c_0_38,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_34]),c_0_31])]) ).
cnf(c_0_39,plain,
( ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1) ),
c_0_35 ).
cnf(c_0_40,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
c_0_36 ).
cnf(c_0_41,negated_conjecture,
c_lessequals(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_7]) ).
cnf(c_0_43,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab,
cls_conjecture_3 ).
cnf(c_0_44,plain,
( ~ class_Lattices_Oupper__semilattice(X4)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4) ),
inference(spm,[status(thm)],[c_0_27,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
c_0_42 ).
cnf(c_0_47,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__assoc_0 ).
cnf(c_0_48,negated_conjecture,
c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab,
inference(rw,[status(thm)],[c_0_43,c_0_18]) ).
cnf(c_0_49,negated_conjecture,
c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(X1,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_31])]) ).
cnf(c_0_50,plain,
( ~ c_lessequals(X2,X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_le__supI2_0]) ).
cnf(c_0_51,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_le__supI1_0]) ).
cnf(c_0_52,negated_conjecture,
~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_18]),c_0_18]),c_0_47]),c_0_48]),c_0_23]),c_0_18]),c_0_18]),c_0_47]),c_0_48]),c_0_49]),c_0_18]),c_0_18]),c_0_47]),c_0_48])]) ).
cnf(c_0_53,plain,
( ~ c_lessequals(X2,X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) ),
c_0_50 ).
cnf(c_0_54,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) ),
c_0_51 ).
cnf(c_0_55,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper2_0 ).
cnf(c_0_56,negated_conjecture,
~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_31])]) ).
cnf(c_0_57,negated_conjecture,
( ~ c_lessequals(X1,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(X1,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_38]),c_0_31])]) ).
cnf(c_0_58,negated_conjecture,
c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(spm,[status(thm)],[c_0_55,c_0_24]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV926-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n019.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 09:32:07 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.55 Running first-order theorem proving
% 0.24/0.55 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
% 0.67/0.91 % Version: 3.5.1
% 0.67/0.91 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.67/0.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.91 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.67/0.91 % Starting new_bool_3 with 300s (1) cores
% 0.67/0.91 % Starting new_bool_1 with 300s (1) cores
% 0.67/0.91 % Starting sh5l with 300s (1) cores
% 0.67/0.91 % new_bool_1 with pid 2246772 completed with status 0
% 0.67/0.91 % Result found by new_bool_1
% 0.67/0.91 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.67/0.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.91 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.67/0.91 % Starting new_bool_3 with 300s (1) cores
% 0.67/0.91 % Starting new_bool_1 with 300s (1) cores
% 0.67/0.91 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.67/0.91 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.67/0.91 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.67/0.91 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.67/0.91 % Starting SubtermCWHack with 28s (1) cores
% 0.67/0.91 % SubtermCWHack with pid 2246781 completed with status 0
% 0.67/0.91 % Result found by SubtermCWHack
% 0.67/0.91 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.67/0.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.91 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.67/0.91 % Starting new_bool_3 with 300s (1) cores
% 0.67/0.91 % Starting new_bool_1 with 300s (1) cores
% 0.67/0.91 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.67/0.91 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.67/0.91 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.67/0.91 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.67/0.91 % Starting SubtermCWHack with 28s (1) cores
% 0.67/0.91 % Preprocessing time : 0.013 s
% 0.67/0.91
% 0.67/0.91 % Proof found!
% 0.67/0.91 % SZS status Unsatisfiable
% 0.67/0.91 % SZS output start CNFRefutation
% See solution above
% 0.67/0.91 % Parsed axioms : 496
% 0.67/0.91 % Removed by relevancy pruning/SinE : 79
% 0.67/0.91 % Initial clauses : 417
% 0.67/0.91 % Removed in clause preprocessing : 0
% 0.67/0.91 % Initial clauses in saturation : 417
% 0.67/0.91 % Processed clauses : 1445
% 0.67/0.91 % ...of these trivial : 274
% 0.67/0.91 % ...subsumed : 720
% 0.67/0.91 % ...remaining for further processing : 451
% 0.67/0.91 % Other redundant clauses eliminated : 43
% 0.67/0.91 % Clauses deleted for lack of memory : 0
% 0.67/0.91 % Backward-subsumed : 0
% 0.67/0.91 % Backward-rewritten : 9
% 0.67/0.91 % Generated clauses : 6735
% 0.67/0.91 % ...of the previous two non-redundant : 3533
% 0.67/0.91 % ...aggressively subsumed : 0
% 0.67/0.91 % Contextual simplify-reflections : 0
% 0.67/0.91 % Paramodulations : 6651
% 0.67/0.91 % Factorizations : 0
% 0.67/0.91 % NegExts : 0
% 0.67/0.91 % Equation resolutions : 84
% 0.67/0.91 % Disequality decompositions : 0
% 0.67/0.91 % Total rewrite steps : 7686
% 0.67/0.91 % ...of those cached : 7186
% 0.67/0.91 % Propositional unsat checks : 0
% 0.67/0.91 % Propositional check models : 0
% 0.67/0.91 % Propositional check unsatisfiable : 0
% 0.67/0.91 % Propositional clauses : 0
% 0.67/0.91 % Propositional clauses after purity: 0
% 0.67/0.91 % Propositional unsat core size : 0
% 0.67/0.91 % Propositional preprocessing time : 0.000
% 0.67/0.91 % Propositional encoding time : 0.000
% 0.67/0.91 % Propositional solver time : 0.000
% 0.67/0.91 % Success case prop preproc time : 0.000
% 0.67/0.91 % Success case prop encoding time : 0.000
% 0.67/0.91 % Success case prop solver time : 0.000
% 0.67/0.91 % Current number of processed clauses : 442
% 0.67/0.91 % Positive orientable unit clauses : 147
% 0.67/0.91 % Positive unorientable unit clauses: 9
% 0.67/0.91 % Negative unit clauses : 88
% 0.67/0.91 % Non-unit-clauses : 198
% 0.67/0.91 % Current number of unprocessed clauses: 2487
% 0.67/0.91 % ...number of literals in the above : 4178
% 0.67/0.91 % Current number of archived formulas : 0
% 0.67/0.91 % Current number of archived clauses : 9
% 0.67/0.91 % Clause-clause subsumption calls (NU) : 30458
% 0.67/0.91 % Rec. Clause-clause subsumption calls : 22913
% 0.67/0.91 % Non-unit clause-clause subsumptions : 615
% 0.67/0.91 % Unit Clause-clause subsumption calls : 3876
% 0.67/0.91 % Rewrite failures with RHS unbound : 23
% 0.67/0.91 % BW rewrite match attempts : 1246
% 0.67/0.91 % BW rewrite match successes : 39
% 0.67/0.91 % Condensation attempts : 0
% 0.67/0.91 % Condensation successes : 0
% 0.67/0.91 % Termbank termtop insertions : 127029
% 0.67/0.91 % Search garbage collected termcells : 1196
% 0.67/0.91
% 0.67/0.91 % -------------------------------------------------
% 0.67/0.91 % User time : 0.172 s
% 0.67/0.91 % System time : 0.015 s
% 0.67/0.91 % Total time : 0.187 s
% 0.67/0.91 % Maximum resident set size: 4488 pages
% 0.67/0.91
% 0.67/0.91 % -------------------------------------------------
% 0.67/0.91 % User time : 0.244 s
% 0.67/0.91 % System time : 0.023 s
% 0.67/0.91 % Total time : 0.267 s
% 0.67/0.91 % Maximum resident set size: 5120 pages
% 0.67/0.91 % E exiting
%------------------------------------------------------------------------------