TSTP Solution File: LCL313-3 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LCL313-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 18:24:32 EDT 2023
% Result : Unsatisfiable 83.67s 11.16s
% Output : CNFRefutation 83.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of clauses : 115 ( 46 unt; 0 nHn; 56 RR)
% Number of literals : 206 ( 7 equ; 102 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 222 ( 33 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p',rule_2) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p',rule_1) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p',axiom_1_6) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p',axiom_1_4) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p',axiom_1_3) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p',axiom_1_2) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p',axiom_1_5) ).
cnf(equivalent_defn,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p',equivalent_defn) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p',and_defn) ).
cnf(prove_this,negated_conjecture,
~ theorem(equivalent(and(implies(p,q),implies(p,not(q))),not(p))),
file('/export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.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(not(not(X1)))
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
theorem(or(or(not(X1),X1),X2)),
inference(spm,[status(thm)],[c_0_53,c_0_21]) ).
cnf(c_0_56,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_57,plain,
theorem(not(not(or(not(X1),X1)))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,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_59,plain,
theorem(or(or(X1,not(X1)),X2)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
equivalent_defn ).
cnf(c_0_61,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(c_0_62,plain,
( theorem(X1)
| ~ theorem(or(not(X2),X1))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_58]) ).
cnf(c_0_63,plain,
( theorem(not(not(not(not(X1)))))
| ~ theorem(or(not(not(X1)),X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_48]) ).
cnf(c_0_64,plain,
theorem(or(X1,or(X2,not(X2)))),
inference(spm,[status(thm)],[c_0_23,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
~ theorem(equivalent(and(implies(p,q),implies(p,not(q))),not(p))),
prove_this ).
cnf(c_0_66,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_60,c_0_12]),c_0_12]),c_0_61]) ).
cnf(c_0_67,plain,
( theorem(X1)
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) ),
inference(spm,[status(thm)],[c_0_62,c_0_27]) ).
cnf(c_0_68,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_47,c_0_24]) ).
cnf(c_0_69,plain,
( theorem(or(X1,X2))
| ~ theorem(not(not(X1))) ),
inference(spm,[status(thm)],[c_0_30,c_0_44]) ).
cnf(c_0_70,plain,
theorem(not(not(not(not(or(X1,not(X1))))))),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,negated_conjecture,
~ theorem(not(or(not(or(not(not(or(not(or(not(p),q)),not(or(not(p),not(q)))))),not(p))),not(or(not(not(p)),not(or(not(or(not(p),q)),not(or(not(p),not(q)))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_12]),c_0_12]),c_0_61]),c_0_66]) ).
cnf(c_0_72,plain,
( theorem(not(or(X1,X2)))
| ~ theorem(or(not(X2),X1))
| ~ theorem(not(X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_58]) ).
cnf(c_0_73,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_74,plain,
theorem(or(X1,or(X2,not(X1)))),
inference(spm,[status(thm)],[c_0_47,c_0_64]) ).
cnf(c_0_75,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_68]) ).
cnf(c_0_76,plain,
theorem(or(not(not(or(X1,not(X1)))),X2)),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,negated_conjecture,
( ~ theorem(or(not(not(or(not(not(p)),not(or(not(or(not(p),q)),not(or(not(p),not(q)))))))),not(or(not(not(or(not(or(not(p),q)),not(or(not(p),not(q)))))),not(p)))))
| ~ theorem(not(not(or(not(not(or(not(or(not(p),q)),not(or(not(p),not(q)))))),not(p))))) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_78,plain,
theorem(or(X1,or(not(X1),X2))),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
( theorem(or(X1,X2))
| ~ theorem(X3)
| ~ axiom(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_75,c_0_14]) ).
cnf(c_0_80,plain,
( theorem(X1)
| ~ theorem(or(X1,not(or(X2,not(X2))))) ),
inference(spm,[status(thm)],[c_0_62,c_0_76]) ).
cnf(c_0_81,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_82,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_23,c_0_55]) ).
cnf(c_0_83,negated_conjecture,
( ~ theorem(not(not(or(not(not(or(not(or(not(p),q)),not(or(not(p),not(q)))))),not(p)))))
| ~ theorem(or(not(not(p)),not(or(not(or(not(p),q)),not(or(not(p),not(q))))))) ),
inference(spm,[status(thm)],[c_0_77,c_0_42]) ).
cnf(c_0_84,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(or(not(not(X1)),X2),X1)) ),
inference(spm,[status(thm)],[c_0_62,c_0_78]) ).
cnf(c_0_85,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X3,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_68]) ).
cnf(c_0_86,plain,
( theorem(X1)
| ~ theorem(or(X1,or(X1,X2)))
| ~ theorem(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_62,c_0_58]) ).
cnf(c_0_87,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X3,X2)) ),
inference(spm,[status(thm)],[c_0_79,c_0_20]) ).
cnf(c_0_88,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(not(X1)),X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_89,plain,
theorem(or(not(X1),or(X2,X1))),
inference(spm,[status(thm)],[c_0_47,c_0_82]) ).
cnf(c_0_90,negated_conjecture,
( ~ theorem(or(not(not(p)),not(or(not(or(not(p),q)),not(or(not(p),not(q)))))))
| ~ theorem(or(not(not(or(not(or(not(p),q)),not(or(not(p),not(q)))))),not(p))) ),
inference(spm,[status(thm)],[c_0_83,c_0_46]) ).
cnf(c_0_91,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_92,plain,
( theorem(X1)
| ~ theorem(or(not(X2),X1))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,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_94,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(not(not(X1)),X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_48]) ).
cnf(c_0_95,plain,
theorem(or(not(X1),or(X1,X2))),
inference(spm,[status(thm)],[c_0_73,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
( ~ theorem(or(not(not(p)),not(or(not(or(not(p),q)),not(or(not(p),not(q)))))))
| ~ theorem(or(or(not(or(not(p),q)),not(or(not(p),not(q)))),not(p))) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_48]) ).
cnf(c_0_98,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,or(X1,X2))) ),
inference(spm,[status(thm)],[c_0_92,c_0_89]) ).
cnf(c_0_99,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_93]) ).
cnf(c_0_100,plain,
theorem(or(X1,not(not(or(not(X1),X2))))),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_101,plain,
( theorem(X1)
| ~ theorem(not(X2))
| ~ axiom(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_31]) ).
cnf(c_0_102,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_103,negated_conjecture,
( ~ theorem(or(or(not(or(not(p),q)),not(or(not(p),not(q)))),not(p)))
| ~ theorem(or(not(or(not(or(not(p),q)),not(or(not(p),not(q))))),p)) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,plain,
( theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(or(not(X2),X3))
| ~ theorem(or(X3,X1)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,plain,
theorem(or(not(not(or(not(X1),X2))),X1)),
inference(spm,[status(thm)],[c_0_23,c_0_100]) ).
cnf(c_0_106,plain,
( theorem(or(X1,X2))
| ~ theorem(not(not(or(X2,X1)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_20]) ).
cnf(c_0_107,plain,
( theorem(not(not(or(X1,or(X2,X3)))))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_102,c_0_43]) ).
cnf(c_0_108,negated_conjecture,
~ theorem(or(or(not(or(not(p),q)),not(or(not(p),not(q)))),not(p))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_78])]) ).
cnf(c_0_109,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_110,negated_conjecture,
~ theorem(or(not(or(not(p),q)),or(not(p),not(or(not(p),not(q)))))),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_111,plain,
theorem(or(or(not(X1),X2),X1)),
inference(spm,[status(thm)],[c_0_23,c_0_78]) ).
cnf(c_0_112,negated_conjecture,
~ theorem(or(not(q),or(not(p),not(or(not(p),not(q)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_104]),c_0_111])]) ).
cnf(c_0_113,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X3,or(X1,X2))) ),
inference(spm,[status(thm)],[c_0_73,c_0_50]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : LCL313-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n005.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 2400
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Mon Oct 2 13:01:01 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.21/0.51 Running first-order model finding
% 0.21/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.DLId5C8sKM/E---3.1_13270.p
% 83.67/11.16 # Version: 3.1pre001
% 83.67/11.16 # Preprocessing class: FSMSSMSSSSSNFFN.
% 83.67/11.16 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 83.67/11.16 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 83.67/11.16 # Starting new_bool_3 with 300s (1) cores
% 83.67/11.16 # Starting new_bool_1 with 300s (1) cores
% 83.67/11.16 # Starting sh5l with 300s (1) cores
% 83.67/11.16 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13347 completed with status 0
% 83.67/11.16 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 83.67/11.16 # Preprocessing class: FSMSSMSSSSSNFFN.
% 83.67/11.16 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 83.67/11.16 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 83.67/11.16 # No SInE strategy applied
% 83.67/11.16 # Search class: FHUNM-FFSF21-DFFFFFNN
% 83.67/11.16 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 83.67/11.16 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 355s (1) cores
% 83.67/11.16 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 83.67/11.16 # Starting new_bool_3 with 296s (1) cores
% 83.67/11.16 # Starting new_bool_1 with 291s (1) cores
% 83.67/11.16 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 83.67/11.16 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13358 completed with status 0
% 83.67/11.16 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 83.67/11.16 # Preprocessing class: FSMSSMSSSSSNFFN.
% 83.67/11.16 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 83.67/11.16 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 83.67/11.16 # No SInE strategy applied
% 83.67/11.16 # Search class: FHUNM-FFSF21-DFFFFFNN
% 83.67/11.16 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 83.67/11.16 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 355s (1) cores
% 83.67/11.16 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 83.67/11.16 # Starting new_bool_3 with 296s (1) cores
% 83.67/11.16 # Starting new_bool_1 with 291s (1) cores
% 83.67/11.16 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 83.67/11.16 # Preprocessing time : 0.001 s
% 83.67/11.16 # Presaturation interreduction done
% 83.67/11.16
% 83.67/11.16 # Proof found!
% 83.67/11.16 # SZS status Unsatisfiable
% 83.67/11.16 # SZS output start CNFRefutation
% See solution above
% 83.67/11.16 # Parsed axioms : 11
% 83.67/11.16 # Removed by relevancy pruning/SinE : 0
% 83.67/11.16 # Initial clauses : 11
% 83.67/11.16 # Removed in clause preprocessing : 3
% 83.67/11.16 # Initial clauses in saturation : 8
% 83.67/11.16 # Processed clauses : 58063
% 83.67/11.16 # ...of these trivial : 375
% 83.67/11.16 # ...subsumed : 49763
% 83.67/11.16 # ...remaining for further processing : 7925
% 83.67/11.16 # Other redundant clauses eliminated : 0
% 83.67/11.16 # Clauses deleted for lack of memory : 0
% 83.67/11.16 # Backward-subsumed : 2214
% 83.67/11.16 # Backward-rewritten : 181
% 83.67/11.16 # Generated clauses : 638238
% 83.67/11.16 # ...of the previous two non-redundant : 624310
% 83.67/11.16 # ...aggressively subsumed : 0
% 83.67/11.16 # Contextual simplify-reflections : 121
% 83.67/11.16 # Paramodulations : 638238
% 83.67/11.16 # Factorizations : 0
% 83.67/11.16 # NegExts : 0
% 83.67/11.16 # Equation resolutions : 0
% 83.67/11.16 # Total rewrite steps : 15851
% 83.67/11.16 # Propositional unsat checks : 1
% 83.67/11.16 # Propositional check models : 0
% 83.67/11.16 # Propositional check unsatisfiable : 0
% 83.67/11.16 # Propositional clauses : 0
% 83.67/11.16 # Propositional clauses after purity: 0
% 83.67/11.16 # Propositional unsat core size : 0
% 83.67/11.16 # Propositional preprocessing time : 0.000
% 83.67/11.16 # Propositional encoding time : 0.444
% 83.67/11.16 # Propositional solver time : 0.091
% 83.67/11.16 # Success case prop preproc time : 0.000
% 83.67/11.16 # Success case prop encoding time : 0.000
% 83.67/11.16 # Success case prop solver time : 0.000
% 83.67/11.16 # Current number of processed clauses : 5522
% 83.67/11.16 # Positive orientable unit clauses : 197
% 83.67/11.16 # Positive unorientable unit clauses: 0
% 83.67/11.16 # Negative unit clauses : 94
% 83.67/11.16 # Non-unit-clauses : 5231
% 83.67/11.16 # Current number of unprocessed clauses: 563760
% 83.67/11.16 # ...number of literals in the above : 1577902
% 83.67/11.16 # Current number of archived formulas : 0
% 83.67/11.16 # Current number of archived clauses : 2406
% 83.67/11.16 # Clause-clause subsumption calls (NU) : 10151618
% 83.67/11.16 # Rec. Clause-clause subsumption calls : 7832225
% 83.67/11.16 # Non-unit clause-clause subsumptions : 41945
% 83.67/11.16 # Unit Clause-clause subsumption calls : 110622
% 83.67/11.16 # Rewrite failures with RHS unbound : 0
% 83.67/11.16 # BW rewrite match attempts : 25668
% 83.67/11.16 # BW rewrite match successes : 20
% 83.67/11.16 # Condensation attempts : 0
% 83.67/11.16 # Condensation successes : 0
% 83.67/11.16 # Termbank termtop insertions : 16340711
% 83.67/11.16
% 83.67/11.16 # -------------------------------------------------
% 83.67/11.16 # User time : 9.970 s
% 83.67/11.16 # System time : 0.325 s
% 83.67/11.16 # Total time : 10.295 s
% 83.67/11.16 # Maximum resident set size: 1684 pages
% 83.67/11.16
% 83.67/11.16 # -------------------------------------------------
% 83.67/11.16 # User time : 51.014 s
% 83.67/11.16 # System time : 0.985 s
% 83.67/11.16 # Total time : 51.998 s
% 83.67/11.16 # Maximum resident set size: 1680 pages
% 83.67/11.16 % E---3.1 exiting
%------------------------------------------------------------------------------