%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV926-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:49:48 PM UTC 2026
% Result : Unsatisfiable 21.52s 8.42s
% Output : CNFRefutation 22.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 26 unt; 0 def)
% Number of atoms : 83 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 83 ( 49 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f399,axiom,
! [V_A,V_C,T_a,V_B] :
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
| c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f408,axiom,
! [V_B,V_C,T_a,V_A] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
| c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f443,axiom,
! [V_A,V_B,T_a,V_C] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f449,axiom,
! [V_B,V_A,T_a] : c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f450,axiom,
! [V_A,V_B,T_a] : c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f459,axiom,
! [V_A,V_B,T_a] : c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f462,axiom,
! [V_A,V_B,T_a] : c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f466,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') ).
fof(f469,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') ).
fof(f471,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') ).
fof(f473,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') ).
fof(f1054,plain,
! [V_A,T_a,V_B] :
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ! [V_C] :
( ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
| c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ),
inference(miniscoping,[status(thm)],[f399]) ).
fof(f1055,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f1054]) ).
fof(f1070,plain,
! [V_B,V_C,T_a] :
( ! [V_A] : ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
| c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) ),
inference(miniscoping,[status(thm)],[f408]) ).
fof(f1071,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X0,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool))
| c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f1070]) ).
fof(f1126,plain,
! [X0,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f1137,plain,
! [X0,X1,X2] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f1138,plain,
! [X0,X1,X2] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f1155,plain,
! [X0,X1,X2] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f1160,plain,
! [X0,X1,X2] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f1167,plain,
c_lessequals(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(cnf_transformation,[status(thm)],[f466]) ).
fof(f1170,plain,
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,
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f1172,plain,
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,
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f1174,plain,
( ~ 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(cnf_transformation,[status(thm)],[f473]) ).
fof(f1208,plain,
c_lessequals(v_ae,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(paramodulation,[status(thm)],[f1172,f1137]) ).
fof(f1211,plain,
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(paramodulation,[status(thm)],[f1172,f1138]) ).
fof(f1215,plain,
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(backward_demodulation,[status(thm)],[f1155,f1170]) ).
fof(f1307,plain,
( ~ 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_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[status(thm)],[f1155,f1174]) ).
fof(f1308,plain,
( ~ 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_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[status(thm)],[f1155,f1307]) ).
fof(f1309,plain,
( ~ 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_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),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_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[status(thm)],[f1155,f1308]) ).
fof(f1310,plain,
( ~ 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_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),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_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[status(thm)],[f1155,f1309]) ).
fof(f1311,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),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_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),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_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[status(thm)],[f1155,f1310]) ).
fof(f1312,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),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_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),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_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[status(thm)],[f1155,f1311]) ).
fof(f1481,plain,
! [X0,X1,X2] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X0,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),
inference(paramodulation,[status(thm)],[f1155,f1160]) ).
fof(f1552,plain,
! [X0,X1,X2] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
inference(paramodulation,[status(thm)],[f1155,f1481]) ).
fof(f3119,plain,
! [X0] :
( ~ c_lessequals(v_ad,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(resolution,[status(thm)],[f1055,f1211]) ).
fof(f3126,plain,
! [X0] :
( ~ c_lessequals(v_ad,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(v_ae,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(resolution,[status(thm)],[f1055,f1208]) ).
fof(f3127,plain,
! [X0] :
( ~ c_lessequals(v_ab,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
| c_lessequals(v_ad,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(resolution,[status(thm)],[f1055,f1167]) ).
fof(f3202,plain,
! [X0] : c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(X0,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
inference(resolution,[status(thm)],[f3127,f1137]) ).
fof(f3485,plain,
! [X0,X1,X2,X3] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(resolution,[status(thm)],[f1071,f1138]) ).
fof(f3529,plain,
! [X0,X1,X2,X3] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(paramodulation,[status(thm)],[f1552,f3485]) ).
fof(f3589,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),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_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(backward_subsumption_resolution,[status(thm)],[f1312,f3529]) ).
fof(f7568,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,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)),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_Lattices_Oupper__semilattice__class_Osup(v_x,v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(backward_demodulation,[status(thm)],[f1126,f3589]) ).
fof(f7874,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,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)),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(v_x,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)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
inference(forward_demodulation,[status(thm)],[f1126,f7568]) ).
fof(f7875,plain,
( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,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)),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(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(forward_demodulation,[status(thm)],[f1215,f7874]) ).
fof(f7876,plain,
( ~ 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))
| ~ c_lessequals(v_ae,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(forward_demodulation,[status(thm)],[f1215,f7875]) ).
fof(f7995,plain,
( ~ c_lessequals(v_ad,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))
| ~ c_lessequals(v_ae,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(resolution,[status(thm)],[f7876,f3119]) ).
fof(f7996,plain,
~ c_lessequals(v_ad,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(forward_subsumption_resolution,[status(thm)],[f7995,f3126]) ).
fof(f7997,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7996,f3202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV926-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n017.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Mon Sep 21 09:27:17 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.22/5.61 % Drodi V4.1.1
% 21.52/8.42 % Refutation found
% 21.52/8.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 21.52/8.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 22.28/8.54 % Elapsed time: 3.067669 seconds
% 22.28/8.54 % CPU time: 22.867943 seconds
% 22.28/8.54 % Total memory used: 412.826 MB
% 22.28/8.54 % Net memory used: 402.293 MB
%------------------------------------------------------------------------------