TSTP Solution File: LCL282-3 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL282-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:12:18 EDT 2023
% Result : Unsatisfiable 390.28s 49.60s
% Output : CNFRefutation 390.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 11
% Syntax : Number of clauses : 126 ( 47 unt; 0 nHn; 63 RR)
% Number of literals : 235 ( 7 equ; 126 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 234 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',rule_2) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',rule_1) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',axiom_1_6) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',axiom_1_4) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',axiom_1_3) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',axiom_1_2) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',axiom_1_5) ).
cnf(equivalent_defn,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',equivalent_defn) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',and_defn) ).
cnf(prove_this,negated_conjecture,
~ theorem(equivalent(or(p,and(q,r)),and(or(p,q),or(p,r)))),
file('/export/starexec/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p',prove_this) ).
cnf(c_0_11,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
rule_2 ).
cnf(c_0_12,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(c_0_13,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,axiom,
( theorem(X1)
| ~ axiom(X1) ),
rule_1 ).
cnf(c_0_15,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(c_0_16,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_17,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(c_0_18,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ axiom(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_20,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_21,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_22,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_24,plain,
( theorem(or(X1,X2))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_25,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
cnf(c_0_26,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(c_0_27,plain,
( theorem(or(X1,X2))
| ~ theorem(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,X3))
| ~ axiom(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_25,c_0_14]) ).
cnf(c_0_29,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[c_0_26,c_0_12]) ).
cnf(c_0_30,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,X3))
| ~ theorem(not(X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_31,plain,
( theorem(or(X1,X2))
| ~ axiom(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_14]) ).
cnf(c_0_32,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( theorem(or(X1,X2))
| ~ theorem(not(X3))
| ~ axiom(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_30,c_0_14]) ).
cnf(c_0_34,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ axiom(or(X1,not(X2))) ),
inference(spm,[status(thm)],[c_0_13,c_0_31]) ).
cnf(c_0_35,plain,
( theorem(or(X1,X2))
| ~ axiom(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_32,c_0_14]) ).
cnf(c_0_36,plain,
( theorem(or(not(X1),X2))
| ~ theorem(not(or(X3,X1))) ),
inference(spm,[status(thm)],[c_0_33,c_0_21]) ).
cnf(c_0_37,plain,
( theorem(not(or(not(X1),not(X1))))
| ~ theorem(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_29]) ).
cnf(c_0_38,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_39,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_35,c_0_21]) ).
cnf(c_0_40,plain,
( theorem(or(X1,X2))
| ~ theorem(not(X3))
| ~ axiom(or(X3,X1)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_41,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_29]) ).
cnf(c_0_42,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[c_0_38,c_0_12]) ).
cnf(c_0_44,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_23,c_0_39]) ).
cnf(c_0_45,plain,
( theorem(or(X1,X2))
| ~ theorem(not(not(or(X1,X1)))) ),
inference(spm,[status(thm)],[c_0_40,c_0_29]) ).
cnf(c_0_46,plain,
( theorem(not(not(X1)))
| ~ theorem(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_18,c_0_43]) ).
cnf(c_0_48,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_25,c_0_44]) ).
cnf(c_0_49,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_47,c_0_14]) ).
cnf(c_0_51,plain,
( theorem(not(not(X1)))
| ~ theorem(or(not(X2),X1))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_48]) ).
cnf(c_0_52,plain,
theorem(or(not(or(X1,X1)),X1)),
inference(spm,[status(thm)],[c_0_35,c_0_20]) ).
cnf(c_0_53,plain,
( theorem(or(or(X1,X2),X3))
| ~ axiom(or(X1,or(or(X1,X2),X2))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
( theorem(or(not(or(X1,X2)),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_22]) ).
cnf(c_0_55,plain,
( theorem(not(not(X1)))
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
theorem(or(or(not(X1),X1),X2)),
inference(spm,[status(thm)],[c_0_53,c_0_21]) ).
cnf(c_0_57,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
equivalent_defn ).
cnf(c_0_58,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(c_0_59,plain,
( theorem(X1)
| ~ theorem(or(not(X2),X1))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_54]) ).
cnf(c_0_60,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_47,c_0_24]) ).
cnf(c_0_61,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(not(not(or(X2,X1)))) ),
inference(spm,[status(thm)],[c_0_40,c_0_20]) ).
cnf(c_0_62,plain,
theorem(not(not(or(not(X1),X1)))),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
~ theorem(equivalent(or(p,and(q,r)),and(or(p,q),or(p,r)))),
prove_this ).
cnf(c_0_64,plain,
equivalent(X1,X2) = not(or(not(or(not(X1),X2)),not(or(not(X2),X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_12]),c_0_12]),c_0_58]) ).
cnf(c_0_65,plain,
( theorem(X1)
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) ),
inference(spm,[status(thm)],[c_0_59,c_0_27]) ).
cnf(c_0_66,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_60]) ).
cnf(c_0_67,plain,
theorem(or(or(X1,not(X1)),X2)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
~ theorem(not(or(not(or(not(or(p,not(or(not(q),not(r))))),not(or(not(or(p,q)),not(or(p,r)))))),not(or(not(not(or(not(or(p,q)),not(or(p,r))))),or(p,not(or(not(q),not(r))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_58]),c_0_58]),c_0_64]) ).
cnf(c_0_69,plain,
( theorem(not(or(X1,X2)))
| ~ theorem(or(not(X2),X1))
| ~ theorem(not(X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_54]) ).
cnf(c_0_70,plain,
( theorem(or(X1,X2))
| ~ theorem(X3)
| ~ axiom(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_66,c_0_14]) ).
cnf(c_0_71,plain,
( theorem(not(not(not(not(X1)))))
| ~ theorem(or(not(not(X1)),X1)) ),
inference(spm,[status(thm)],[c_0_55,c_0_48]) ).
cnf(c_0_72,plain,
theorem(or(X1,or(X2,not(X2)))),
inference(spm,[status(thm)],[c_0_23,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
( ~ theorem(or(not(not(or(not(not(or(not(or(p,q)),not(or(p,r))))),or(p,not(or(not(q),not(r))))))),not(or(not(or(p,not(or(not(q),not(r))))),not(or(not(or(p,q)),not(or(p,r))))))))
| ~ theorem(not(not(or(not(or(p,not(or(not(q),not(r))))),not(or(not(or(p,q)),not(or(p,r)))))))) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
( theorem(not(not(X1)))
| ~ theorem(X2)
| ~ axiom(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_51,c_0_14]) ).
cnf(c_0_75,plain,
( theorem(X1)
| ~ theorem(or(X1,or(X1,X2)))
| ~ theorem(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_54]) ).
cnf(c_0_76,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X3,X2)) ),
inference(spm,[status(thm)],[c_0_70,c_0_20]) ).
cnf(c_0_77,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_23,c_0_56]) ).
cnf(c_0_78,plain,
( theorem(or(X1,X2))
| ~ theorem(not(not(X1))) ),
inference(spm,[status(thm)],[c_0_30,c_0_44]) ).
cnf(c_0_79,plain,
theorem(not(not(not(not(or(X1,not(X1))))))),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( ~ theorem(not(not(or(not(or(p,not(or(not(q),not(r))))),not(or(not(or(p,q)),not(or(p,r))))))))
| ~ theorem(or(not(not(or(not(or(p,q)),not(or(p,r))))),or(p,not(or(not(q),not(r)))))) ),
inference(spm,[status(thm)],[c_0_73,c_0_42]) ).
cnf(c_0_81,plain,
( theorem(not(not(or(X1,X2))))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_20]) ).
cnf(c_0_82,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_28,c_0_20]) ).
cnf(c_0_83,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_48]) ).
cnf(c_0_84,plain,
( theorem(X1)
| ~ theorem(or(not(X2),X1))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_85,plain,
theorem(or(not(X1),or(X2,X1))),
inference(spm,[status(thm)],[c_0_47,c_0_77]) ).
cnf(c_0_86,plain,
( theorem(or(X1,or(not(or(X1,X2)),X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_47,c_0_22]) ).
cnf(c_0_87,plain,
theorem(or(not(not(or(X1,not(X1)))),X2)),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_88,negated_conjecture,
( ~ theorem(or(not(not(or(not(or(p,q)),not(or(p,r))))),or(p,not(or(not(q),not(r))))))
| ~ theorem(or(not(or(not(or(p,q)),not(or(p,r)))),not(or(p,not(or(not(q),not(r))))))) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_89,plain,
( theorem(or(not(not(X1)),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_90,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,or(X1,X2))) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,plain,
( theorem(or(X1,or(not(or(not(X2),X3)),X4)))
| ~ theorem(or(not(X3),X4))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_25,c_0_86]) ).
cnf(c_0_92,plain,
( theorem(X1)
| ~ theorem(or(X1,not(or(X2,not(X2))))) ),
inference(spm,[status(thm)],[c_0_59,c_0_87]) ).
cnf(c_0_93,plain,
( theorem(or(or(X1,X2),not(or(X1,X3))))
| ~ theorem(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_94,negated_conjecture,
( ~ theorem(or(not(or(not(or(p,q)),not(or(p,r)))),not(or(p,not(or(not(q),not(r)))))))
| ~ theorem(or(or(not(or(not(q),not(r))),p),or(not(or(p,q)),not(or(p,r))))) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_95,plain,
( theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(or(not(X2),X3))
| ~ theorem(or(X3,X1)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
( theorem(X1)
| ~ theorem(not(X2))
| ~ axiom(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_31]) ).
cnf(c_0_97,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(not(X1)),X2)) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,negated_conjecture,
( ~ theorem(or(or(not(or(not(q),not(r))),p),or(not(or(p,q)),not(or(p,r)))))
| ~ theorem(or(not(not(or(p,r))),not(or(p,not(or(not(q),not(r)))))))
| ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,q))) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,plain,
( theorem(or(X1,X2))
| ~ theorem(not(not(or(X2,X1)))) ),
inference(spm,[status(thm)],[c_0_96,c_0_20]) ).
cnf(c_0_100,plain,
( theorem(not(not(or(X1,or(X2,X3)))))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_74,c_0_43]) ).
cnf(c_0_101,plain,
theorem(or(X1,not(not(not(X1))))),
inference(spm,[status(thm)],[c_0_97,c_0_44]) ).
cnf(c_0_102,negated_conjecture,
( ~ theorem(or(or(not(or(not(q),not(r))),p),or(not(or(p,q)),not(or(p,r)))))
| ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,q)))
| ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,r))) ),
inference(spm,[status(thm)],[c_0_98,c_0_83]) ).
cnf(c_0_103,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,plain,
theorem(or(not(not(not(X1))),X1)),
inference(spm,[status(thm)],[c_0_23,c_0_101]) ).
cnf(c_0_105,negated_conjecture,
( ~ theorem(or(not(or(not(q),not(r))),or(or(not(or(p,q)),not(or(p,r))),p)))
| ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,q)))
| ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,r))) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X3,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_60]) ).
cnf(c_0_107,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,not(not(X2)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_104]) ).
cnf(c_0_108,negated_conjecture,
( ~ theorem(or(not(not(r)),or(or(not(or(p,q)),not(or(p,r))),p)))
| ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,q)))
| ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,r)))
| ~ theorem(or(or(or(not(or(p,q)),not(or(p,r))),p),q)) ),
inference(spm,[status(thm)],[c_0_105,c_0_95]) ).
cnf(c_0_109,plain,
( theorem(or(X1,or(or(X2,X3),X4)))
| ~ theorem(or(or(X1,X4),X3)) ),
inference(spm,[status(thm)],[c_0_47,c_0_106]) ).
cnf(c_0_110,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(not(not(X2)),X1)) ),
inference(spm,[status(thm)],[c_0_107,c_0_83]) ).
cnf(c_0_111,negated_conjecture,
( ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,q)))
| ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,r)))
| ~ theorem(or(or(or(not(or(p,q)),not(or(p,r))),p),q))
| ~ theorem(or(or(not(not(r)),p),not(or(p,r)))) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,plain,
theorem(or(not(not(or(X1,not(X2)))),X2)),
inference(spm,[status(thm)],[c_0_110,c_0_85]) ).
cnf(c_0_113,plain,
theorem(or(not(X1),or(X1,X2))),
inference(spm,[status(thm)],[c_0_82,c_0_85]) ).
cnf(c_0_114,negated_conjecture,
( ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,q)))
| ~ theorem(or(or(or(not(or(p,q)),not(or(p,r))),p),q))
| ~ theorem(or(or(not(not(r)),p),not(or(p,r)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_22]),c_0_112])]) ).
cnf(c_0_115,plain,
theorem(or(not(not(or(not(X1),X2))),X1)),
inference(spm,[status(thm)],[c_0_110,c_0_113]) ).
cnf(c_0_116,plain,
theorem(or(X1,or(X2,not(X1)))),
inference(spm,[status(thm)],[c_0_47,c_0_72]) ).
cnf(c_0_117,negated_conjecture,
( ~ theorem(or(or(or(not(or(p,q)),not(or(p,r))),p),q))
| ~ theorem(or(or(not(not(r)),p),not(or(p,r)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_22]),c_0_115])]) ).
cnf(c_0_118,plain,
theorem(or(X1,or(not(X1),X2))),
inference(spm,[status(thm)],[c_0_82,c_0_116]) ).
cnf(c_0_119,negated_conjecture,
( ~ theorem(or(or(or(not(or(p,q)),not(or(p,r))),p),q))
| ~ theorem(or(not(not(r)),or(not(or(p,r)),p))) ),
inference(spm,[status(thm)],[c_0_117,c_0_103]) ).
cnf(c_0_120,plain,
theorem(or(or(not(X1),X2),X1)),
inference(spm,[status(thm)],[c_0_23,c_0_118]) ).
cnf(c_0_121,negated_conjecture,
( ~ theorem(or(or(or(not(or(p,q)),not(or(p,r))),p),q))
| ~ theorem(or(or(not(or(p,r)),p),r)) ),
inference(spm,[status(thm)],[c_0_119,c_0_83]) ).
cnf(c_0_122,plain,
theorem(or(or(not(or(X1,X2)),X3),or(X2,X1))),
inference(spm,[status(thm)],[c_0_82,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
~ theorem(or(or(not(or(p,r)),p),r)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_103]),c_0_122])]) ).
cnf(c_0_124,plain,
( theorem(or(or(X1,X2),X3))
| ~ axiom(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_23,c_0_50]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL282-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 12:52:38 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.0kedvKsPsz/E---3.1_21428.p
% 390.28/49.60 # Version: 3.1pre001
% 390.28/49.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 390.28/49.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 390.28/49.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 390.28/49.60 # Starting new_bool_3 with 300s (1) cores
% 390.28/49.60 # Starting new_bool_1 with 300s (1) cores
% 390.28/49.60 # Starting sh5l with 300s (1) cores
% 390.28/49.60 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21506 completed with status 0
% 390.28/49.60 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 390.28/49.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 390.28/49.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 390.28/49.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 390.28/49.60 # No SInE strategy applied
% 390.28/49.60 # Search class: FHUNM-FFSF21-DFFFFFNN
% 390.28/49.60 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 390.28/49.60 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 355s (1) cores
% 390.28/49.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 390.28/49.60 # Starting new_bool_3 with 296s (1) cores
% 390.28/49.60 # Starting new_bool_1 with 291s (1) cores
% 390.28/49.60 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 390.28/49.60 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 21517 completed with status 0
% 390.28/49.60 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 390.28/49.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 390.28/49.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 390.28/49.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 390.28/49.60 # No SInE strategy applied
% 390.28/49.60 # Search class: FHUNM-FFSF21-DFFFFFNN
% 390.28/49.60 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 390.28/49.60 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 355s (1) cores
% 390.28/49.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 390.28/49.60 # Starting new_bool_3 with 296s (1) cores
% 390.28/49.60 # Starting new_bool_1 with 291s (1) cores
% 390.28/49.60 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 390.28/49.60 # Preprocessing time : 0.001 s
% 390.28/49.60 # Presaturation interreduction done
% 390.28/49.60
% 390.28/49.60 # Proof found!
% 390.28/49.60 # SZS status Unsatisfiable
% 390.28/49.60 # SZS output start CNFRefutation
% See solution above
% 390.28/49.60 # Parsed axioms : 11
% 390.28/49.60 # Removed by relevancy pruning/SinE : 0
% 390.28/49.60 # Initial clauses : 11
% 390.28/49.60 # Removed in clause preprocessing : 3
% 390.28/49.60 # Initial clauses in saturation : 8
% 390.28/49.60 # Processed clauses : 93193
% 390.28/49.60 # ...of these trivial : 568
% 390.28/49.60 # ...subsumed : 72188
% 390.28/49.60 # ...remaining for further processing : 20437
% 390.28/49.60 # Other redundant clauses eliminated : 0
% 390.28/49.60 # Clauses deleted for lack of memory : 0
% 390.28/49.60 # Backward-subsumed : 12536
% 390.28/49.60 # Backward-rewritten : 92
% 390.28/49.60 # Generated clauses : 1213502
% 390.28/49.60 # ...of the previous two non-redundant : 1182778
% 390.28/49.60 # ...aggressively subsumed : 0
% 390.28/49.60 # Contextual simplify-reflections : 335
% 390.28/49.60 # Paramodulations : 1213502
% 390.28/49.60 # Factorizations : 0
% 390.28/49.60 # NegExts : 0
% 390.28/49.60 # Equation resolutions : 0
% 390.28/49.60 # Total rewrite steps : 34018
% 390.28/49.60 # Propositional unsat checks : 4
% 390.28/49.60 # Propositional check models : 0
% 390.28/49.60 # Propositional check unsatisfiable : 0
% 390.28/49.60 # Propositional clauses : 0
% 390.28/49.60 # Propositional clauses after purity: 0
% 390.28/49.60 # Propositional unsat core size : 0
% 390.28/49.60 # Propositional preprocessing time : 0.000
% 390.28/49.60 # Propositional encoding time : 5.776
% 390.28/49.60 # Propositional solver time : 1.283
% 390.28/49.60 # Success case prop preproc time : 0.000
% 390.28/49.60 # Success case prop encoding time : 0.000
% 390.28/49.60 # Success case prop solver time : 0.000
% 390.28/49.60 # Current number of processed clauses : 7801
% 390.28/49.60 # Positive orientable unit clauses : 305
% 390.28/49.60 # Positive unorientable unit clauses: 0
% 390.28/49.60 # Negative unit clauses : 242
% 390.28/49.60 # Non-unit-clauses : 7254
% 390.28/49.60 # Current number of unprocessed clauses: 1076718
% 390.28/49.60 # ...number of literals in the above : 2980234
% 390.28/49.60 # Current number of archived formulas : 0
% 390.28/49.60 # Current number of archived clauses : 12639
% 390.28/49.60 # Clause-clause subsumption calls (NU) : 48031656
% 390.28/49.60 # Rec. Clause-clause subsumption calls : 22589178
% 390.28/49.60 # Non-unit clause-clause subsumptions : 52962
% 390.28/49.60 # Unit Clause-clause subsumption calls : 640252
% 390.28/49.60 # Rewrite failures with RHS unbound : 0
% 390.28/49.60 # BW rewrite match attempts : 82123
% 390.28/49.60 # BW rewrite match successes : 37
% 390.28/49.60 # Condensation attempts : 0
% 390.28/49.60 # Condensation successes : 0
% 390.28/49.60 # Termbank termtop insertions : 58880712
% 390.28/49.60
% 390.28/49.60 # -------------------------------------------------
% 390.28/49.60 # User time : 47.895 s
% 390.28/49.60 # System time : 0.887 s
% 390.28/49.60 # Total time : 48.782 s
% 390.28/49.60 # Maximum resident set size: 1684 pages
% 390.28/49.60
% 390.28/49.60 # -------------------------------------------------
% 390.28/49.60 # User time : 239.474 s
% 390.28/49.60 # System time : 3.213 s
% 390.28/49.60 # Total time : 242.686 s
% 390.28/49.60 # Maximum resident set size: 1680 pages
% 390.28/49.60 % E---3.1 exiting
% 390.28/49.60 % E---3.1 exiting
%------------------------------------------------------------------------------