TSTP Solution File: SET066-6 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET066-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 15:06:07 EDT 2023
% Result : Unsatisfiable 249.26s 33.36s
% Output : CNFRefutation 249.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 95 ( 14 unt; 7 nHn; 85 RR)
% Number of literals : 254 ( 129 equ; 160 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 100 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
unordered_pair(x,y) != unordered_pair(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_unordered_pair_1) ).
cnf(c_50,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_51,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_52,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_53,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_55,plain,
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(c_56,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_57,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(c_58,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c_59,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
cnf(c_141,plain,
subclass(universal_class,universal_class),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_189,plain,
( ~ subclass(universal_class,universal_class)
| universal_class = universal_class ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_242,plain,
subclass(X0,X0),
inference(unflattening,[status(thm)],[c_55]) ).
cnf(c_244,plain,
X0 = X0,
theory(equality) ).
cnf(c_246,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_247,plain,
( X0 != X1
| X2 != X3
| unordered_pair(X0,X2) = unordered_pair(X1,X3) ),
theory(equality) ).
cnf(c_249,plain,
( X0 != X1
| X2 != X3
| ~ member(X1,X3)
| member(X0,X2) ),
theory(equality) ).
cnf(c_304,plain,
( ~ subclass(unordered_pair(x,y),unordered_pair(y,x))
| ~ subclass(unordered_pair(y,x),unordered_pair(x,y))
| unordered_pair(x,y) = unordered_pair(y,x) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_354,plain,
( member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| subclass(unordered_pair(y,x),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_360,plain,
( ~ subclass(unordered_pair(y,x),X0)
| ~ subclass(X0,unordered_pair(y,x))
| unordered_pair(y,x) = X0 ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_513,plain,
unordered_pair(X0,X1) = unordered_pair(X0,X1),
inference(instantiation,[status(thm)],[c_244]) ).
cnf(c_782,plain,
( member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y))
| subclass(unordered_pair(x,y),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_873,plain,
( X0 != X1
| y != X1
| y = X0 ),
inference(instantiation,[status(thm)],[c_246]) ).
cnf(c_879,plain,
y = y,
inference(instantiation,[status(thm)],[c_244]) ).
cnf(c_890,plain,
( ~ subclass(unordered_pair(y,x),unordered_pair(y,x))
| unordered_pair(y,x) = unordered_pair(y,x) ),
inference(instantiation,[status(thm)],[c_360]) ).
cnf(c_891,plain,
subclass(unordered_pair(y,x),unordered_pair(y,x)),
inference(instantiation,[status(thm)],[c_242]) ).
cnf(c_3921,plain,
( X0 != not_subclass_element(unordered_pair(y,x),unordered_pair(x,y))
| X1 != unordered_pair(y,x)
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| member(X0,X1) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_4334,plain,
( ~ subclass(unordered_pair(X0,X1),X2)
| ~ member(X1,unordered_pair(X0,X1))
| member(X1,X2) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_4353,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| ~ subclass(unordered_pair(y,x),X0)
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_4354,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| ~ subclass(unordered_pair(y,x),universal_class)
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),universal_class) ),
inference(instantiation,[status(thm)],[c_4353]) ).
cnf(c_5540,plain,
subclass(unordered_pair(y,x),universal_class),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_5948,plain,
( X0 != y
| y != y
| y = X0 ),
inference(instantiation,[status(thm)],[c_873]) ).
cnf(c_6324,plain,
( unordered_pair(y,x) != unordered_pair(y,x)
| X0 != not_subclass_element(unordered_pair(y,x),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| member(X0,unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_3921]) ).
cnf(c_7497,plain,
x = x,
inference(instantiation,[status(thm)],[c_244]) ).
cnf(c_9054,plain,
unordered_pair(x,y) = unordered_pair(x,y),
inference(instantiation,[status(thm)],[c_513]) ).
cnf(c_10882,plain,
subclass(unordered_pair(x,y),universal_class),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_12605,plain,
( y != X0
| universal_class != X1
| ~ member(X0,X1)
| member(y,universal_class) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_15801,plain,
( ~ subclass(unordered_pair(y,x),X0)
| ~ member(x,unordered_pair(y,x))
| member(x,X0) ),
inference(instantiation,[status(thm)],[c_4334]) ).
cnf(c_15802,plain,
( ~ subclass(unordered_pair(y,x),universal_class)
| ~ member(x,unordered_pair(y,x))
| member(x,universal_class) ),
inference(instantiation,[status(thm)],[c_15801]) ).
cnf(c_20238,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_25856,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y))
| subclass(unordered_pair(y,x),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_25883,plain,
( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != X0
| X1 != X0
| X1 = not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_246]) ).
cnf(c_40850,plain,
( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != X0
| x != X0
| x = not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_25883]) ).
cnf(c_40864,plain,
( y != not_subclass_element(unordered_pair(y,x),unordered_pair(x,y))
| universal_class != X0
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),X0)
| member(y,universal_class) ),
inference(instantiation,[status(thm)],[c_12605]) ).
cnf(c_40871,plain,
( y != not_subclass_element(unordered_pair(y,x),unordered_pair(x,y))
| universal_class != universal_class
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),universal_class)
| member(y,universal_class) ),
inference(instantiation,[status(thm)],[c_40864]) ).
cnf(c_41231,plain,
( unordered_pair(y,x) != unordered_pair(y,x)
| x != not_subclass_element(unordered_pair(y,x),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| member(x,unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_6324]) ).
cnf(c_44110,plain,
( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != x
| x != x
| x = not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_40850]) ).
cnf(c_47108,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| subclass(unordered_pair(x,y),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_48892,plain,
( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != X0
| unordered_pair(y,x) != X1
| ~ member(X0,X1)
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_48906,plain,
( X0 != X1
| y != X1
| y = X0 ),
inference(instantiation,[status(thm)],[c_246]) ).
cnf(c_51621,plain,
( ~ member(not_subclass_element(X0,X1),X0)
| ~ subclass(X0,X2)
| member(not_subclass_element(X0,X1),X2) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_53000,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(X0,X1))
| not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) = X0
| not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) = X1 ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_53022,plain,
( X0 != y
| y != y
| y = X0 ),
inference(instantiation,[status(thm)],[c_48906]) ).
cnf(c_59025,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y))
| not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) = x
| not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) = y ),
inference(instantiation,[status(thm)],[c_53000]) ).
cnf(c_60291,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y))
| ~ subclass(unordered_pair(x,y),X0)
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),X0) ),
inference(instantiation,[status(thm)],[c_51621]) ).
cnf(c_60292,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y))
| ~ subclass(unordered_pair(x,y),universal_class)
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),universal_class) ),
inference(instantiation,[status(thm)],[c_60291]) ).
cnf(c_60516,plain,
( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != y
| y != y
| y = not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_53022]) ).
cnf(c_60543,plain,
( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != X0
| unordered_pair(y,x) != unordered_pair(y,x)
| ~ member(X0,unordered_pair(y,x))
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_48892]) ).
cnf(c_71600,plain,
( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != y
| unordered_pair(y,x) != unordered_pair(y,x)
| ~ member(y,unordered_pair(y,x))
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_60543]) ).
cnf(c_71714,plain,
( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != x
| unordered_pair(y,x) != unordered_pair(y,x)
| ~ member(x,unordered_pair(y,x))
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_60543]) ).
cnf(c_84316,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_194071,plain,
( x != X0
| y != X1
| unordered_pair(y,x) = unordered_pair(X1,X0) ),
inference(instantiation,[status(thm)],[c_247]) ).
cnf(c_197269,plain,
( unordered_pair(X0,x) != X1
| y != X2
| ~ member(X2,X1)
| member(y,unordered_pair(X0,x)) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_197528,plain,
( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != X0
| X1 != X0
| X1 = not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_246]) ).
cnf(c_199252,plain,
( ~ member(not_subclass_element(X0,X1),universal_class)
| member(not_subclass_element(X0,X1),unordered_pair(not_subclass_element(X0,X1),X2)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_204460,plain,
( x != X0
| y != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))
| unordered_pair(y,x) = unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),X0) ),
inference(instantiation,[status(thm)],[c_194071]) ).
cnf(c_204464,plain,
( unordered_pair(X0,x) != X1
| y != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),X1)
| member(y,unordered_pair(X0,x)) ),
inference(instantiation,[status(thm)],[c_197269]) ).
cnf(c_204939,plain,
( ~ member(y,universal_class)
| member(y,unordered_pair(X0,y)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_207628,plain,
( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != x
| X0 != x
| X0 = not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_197528]) ).
cnf(c_209840,plain,
( not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) != x
| x != x
| x = not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_207628]) ).
cnf(c_212574,plain,
( X0 != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))
| X1 != X2
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),X2)
| member(X0,X1) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_232047,plain,
( X0 != X1
| x != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),X1)
| member(x,X0) ),
inference(instantiation,[status(thm)],[c_212574]) ).
cnf(c_232051,plain,
( x != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))
| universal_class != universal_class
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),universal_class)
| member(x,universal_class) ),
inference(instantiation,[status(thm)],[c_232047]) ).
cnf(c_246991,plain,
( ~ member(y,universal_class)
| member(y,unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_204939]) ).
cnf(c_260480,plain,
( x != x
| y != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))
| unordered_pair(y,x) = unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x) ),
inference(instantiation,[status(thm)],[c_204460]) ).
cnf(c_262227,plain,
( unordered_pair(y,x) != unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x)
| y != not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x))
| member(y,unordered_pair(y,x)) ),
inference(instantiation,[status(thm)],[c_204464]) ).
cnf(c_291585,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),universal_class)
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),X0)) ),
inference(instantiation,[status(thm)],[c_199252]) ).
cnf(c_297211,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),universal_class)
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x)) ),
inference(instantiation,[status(thm)],[c_291585]) ).
cnf(c_607994,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) = x
| not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) = y ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_608025,plain,
( X0 != X1
| y != X1
| y = X0 ),
inference(instantiation,[status(thm)],[c_246]) ).
cnf(c_609592,plain,
( not_subclass_element(X0,X1) != X2
| X1 != X3
| ~ member(X2,X3)
| member(not_subclass_element(X0,X1),X1) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_610839,plain,
( X0 != y
| y != y
| y = X0 ),
inference(instantiation,[status(thm)],[c_608025]) ).
cnf(c_614752,plain,
( X0 != y
| y = X0 ),
inference(global_subsumption_just,[status(thm)],[c_610839,c_879,c_5948]) ).
cnf(c_614771,plain,
( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != y
| y = not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_614752]) ).
cnf(c_617316,plain,
( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != y
| unordered_pair(x,y) != X0
| ~ member(y,X0)
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_609592]) ).
cnf(c_618197,plain,
( ~ member(y,X0)
| unordered_pair(x,y) != X0
| not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != y ),
inference(global_subsumption_just,[status(thm)],[c_617316,c_141,c_49,c_189,c_304,c_782,c_879,c_890,c_891,c_7497,c_10882,c_20238,c_25856,c_47108,c_59025,c_60292,c_60516,c_71600,c_71714,c_209840,c_232051,c_260480,c_262227,c_297211,c_617316]) ).
cnf(c_618198,plain,
( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != y
| unordered_pair(x,y) != X0
| ~ member(y,X0) ),
inference(renaming,[status(thm)],[c_618197]) ).
cnf(c_618217,plain,
( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != y
| unordered_pair(x,y) != unordered_pair(x,y)
| ~ member(y,unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_618198]) ).
cnf(c_620681,plain,
not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != y,
inference(global_subsumption_just,[status(thm)],[c_614771,c_141,c_49,c_189,c_304,c_354,c_782,c_879,c_890,c_891,c_4354,c_5540,c_7497,c_9054,c_10882,c_20238,c_40871,c_47108,c_59025,c_60292,c_60516,c_71600,c_71714,c_209840,c_232051,c_246991,c_260480,c_262227,c_297211,c_614771,c_618217]) ).
cnf(c_620692,plain,
( not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)) != x
| unordered_pair(x,y) != X0
| ~ member(x,X0)
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_609592]) ).
cnf(c_622327,plain,
( unordered_pair(x,y) != X0
| ~ member(x,X0)
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y)) ),
inference(global_subsumption_just,[status(thm)],[c_620692,c_141,c_49,c_189,c_304,c_354,c_782,c_879,c_890,c_891,c_5540,c_7497,c_10882,c_15802,c_20238,c_25856,c_41231,c_44110,c_47108,c_59025,c_60292,c_60516,c_71600,c_71714,c_209840,c_232051,c_260480,c_262227,c_297211,c_607994,c_620681,c_620692]) ).
cnf(c_622330,plain,
( ~ member(x,X0)
| unordered_pair(x,y) != X0 ),
inference(global_subsumption_just,[status(thm)],[c_622327,c_141,c_49,c_189,c_304,c_354,c_782,c_879,c_890,c_891,c_5540,c_7497,c_10882,c_15802,c_20238,c_25856,c_41231,c_44110,c_47108,c_59025,c_60292,c_60516,c_71600,c_71714,c_209840,c_232051,c_260480,c_262227,c_297211,c_607994,c_620681,c_620692]) ).
cnf(c_622331,plain,
( unordered_pair(x,y) != X0
| ~ member(x,X0) ),
inference(renaming,[status(thm)],[c_622330]) ).
cnf(c_622349,plain,
( unordered_pair(x,y) != unordered_pair(x,y)
| ~ member(x,unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[c_622331]) ).
cnf(c_622350,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_622349,c_620681,c_607994,c_297211,c_262227,c_260480,c_232051,c_209840,c_84316,c_71600,c_60516,c_60292,c_59025,c_47108,c_44110,c_41231,c_15802,c_10882,c_9054,c_7497,c_5540,c_891,c_890,c_879,c_782,c_354,c_304,c_189,c_49,c_141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET066-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:52:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 249.26/33.36 % SZS status Started for theBenchmark.p
% 249.26/33.36 % SZS status Unsatisfiable for theBenchmark.p
% 249.26/33.36
% 249.26/33.36 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 249.26/33.36
% 249.26/33.36 ------ iProver source info
% 249.26/33.36
% 249.26/33.36 git: date: 2023-05-31 18:12:56 +0000
% 249.26/33.36 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 249.26/33.36 git: non_committed_changes: false
% 249.26/33.36 git: last_make_outside_of_git: false
% 249.26/33.36
% 249.26/33.36 ------ Parsing...successful
% 249.26/33.36
% 249.26/33.36
% 249.26/33.36
% 249.26/33.36 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 249.26/33.36
% 249.26/33.36 ------ Preprocessing...
% 249.26/33.36
% 249.26/33.36 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 249.26/33.36 ------ Proving...
% 249.26/33.36 ------ Problem Properties
% 249.26/33.36
% 249.26/33.36
% 249.26/33.36 clauses 91
% 249.26/33.36 conjectures 1
% 249.26/33.36 EPR 15
% 249.26/33.36 Horn 83
% 249.26/33.36 unary 31
% 249.26/33.36 binary 39
% 249.26/33.36 lits 178
% 249.26/33.36 lits eq 37
% 249.26/33.36 fd_pure 0
% 249.26/33.36 fd_pseudo 0
% 249.26/33.36 fd_cond 3
% 249.26/33.36 fd_pseudo_cond 3
% 249.26/33.36 AC symbols 0
% 249.26/33.36
% 249.26/33.36 ------ Input Options Time Limit: Unbounded
% 249.26/33.36
% 249.26/33.36
% 249.26/33.36 ------
% 249.26/33.36 Current options:
% 249.26/33.36 ------
% 249.26/33.36
% 249.26/33.36
% 249.26/33.36
% 249.26/33.36
% 249.26/33.36 ------ Proving...
% 249.26/33.36
% 249.26/33.36
% 249.26/33.36 % SZS status Unsatisfiable for theBenchmark.p
% 249.26/33.36
% 249.26/33.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 249.26/33.36
% 249.26/33.37
%------------------------------------------------------------------------------