TSTP Solution File: LCL346-3 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL346-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 18:12:28 EDT 2023
% Result : Unsatisfiable 76.92s 10.30s
% Output : CNFRefutation 76.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 11
% Syntax : Number of clauses : 116 ( 42 unt; 0 nHn; 56 RR)
% Number of literals : 217 ( 7 equ; 112 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 12 ( 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 : 241 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox/tmp/tmp.87l8Z2exth/E---3.1_9150.p',rule_2) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/tmp/tmp.87l8Z2exth/E---3.1_9150.p',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.87l8Z2exth/E---3.1_9150.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.87l8Z2exth/E---3.1_9150.p',axiom_1_6) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.87l8Z2exth/E---3.1_9150.p',axiom_1_4) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.87l8Z2exth/E---3.1_9150.p',axiom_1_3) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox/tmp/tmp.87l8Z2exth/E---3.1_9150.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.87l8Z2exth/E---3.1_9150.p',axiom_1_5) ).
cnf(equivalent_defn,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
file('/export/starexec/sandbox/tmp/tmp.87l8Z2exth/E---3.1_9150.p',equivalent_defn) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox/tmp/tmp.87l8Z2exth/E---3.1_9150.p',and_defn) ).
cnf(prove_this,negated_conjecture,
~ theorem(equivalent(implies(and(p,not(q)),r),implies(p,or(q,r)))),
file('/export/starexec/sandbox/tmp/tmp.87l8Z2exth/E---3.1_9150.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(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_59,plain,
theorem(or(or(X1,not(X1)),X2)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,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_61,plain,
( theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(or(not(X2),X3))
| ~ theorem(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_58]) ).
cnf(c_0_62,plain,
theorem(or(X1,or(X2,not(X2)))),
inference(spm,[status(thm)],[c_0_23,c_0_59]) ).
cnf(c_0_63,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
equivalent_defn ).
cnf(c_0_64,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(c_0_65,plain,
( theorem(X1)
| ~ theorem(or(not(X2),X1))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_60]) ).
cnf(c_0_66,plain,
( theorem(X1)
| ~ theorem(or(not(X2),X3))
| ~ theorem(or(not(X3),X1))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_61]) ).
cnf(c_0_67,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_68,plain,
theorem(or(X1,or(X2,not(X1)))),
inference(spm,[status(thm)],[c_0_47,c_0_62]) ).
cnf(c_0_69,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,not(X3)))
| ~ theorem(X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
cnf(c_0_70,negated_conjecture,
~ theorem(equivalent(implies(and(p,not(q)),r),implies(p,or(q,r)))),
prove_this ).
cnf(c_0_71,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_63,c_0_12]),c_0_12]),c_0_64]) ).
cnf(c_0_72,plain,
( theorem(X1)
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) ),
inference(spm,[status(thm)],[c_0_65,c_0_27]) ).
cnf(c_0_73,plain,
( theorem(X1)
| ~ theorem(or(not(X2),X1))
| ~ theorem(or(X2,X2)) ),
inference(spm,[status(thm)],[c_0_66,c_0_52]) ).
cnf(c_0_74,plain,
theorem(or(X1,or(not(X1),X2))),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_75,plain,
( theorem(or(X1,X2))
| ~ theorem(X3)
| ~ axiom(or(not(X3),X1)) ),
inference(spm,[status(thm)],[c_0_69,c_0_31]) ).
cnf(c_0_76,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_77,negated_conjecture,
~ theorem(not(or(not(or(not(or(not(not(or(not(p),not(not(q))))),r)),or(not(p),or(q,r)))),not(or(not(or(not(p),or(q,r))),or(not(not(or(not(p),not(not(q))))),r)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_12]),c_0_12]),c_0_64]),c_0_71]) ).
cnf(c_0_78,plain,
( theorem(not(or(X1,X2)))
| ~ theorem(or(not(X2),X1))
| ~ theorem(not(X1)) ),
inference(spm,[status(thm)],[c_0_72,c_0_60]) ).
cnf(c_0_79,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
( theorem(or(or(X1,or(X2,X3)),X4))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_75,c_0_43]) ).
cnf(c_0_81,plain,
( theorem(or(X1,X2))
| ~ theorem(not(not(X1))) ),
inference(spm,[status(thm)],[c_0_30,c_0_44]) ).
cnf(c_0_82,plain,
theorem(not(not(not(not(or(X1,not(X1))))))),
inference(spm,[status(thm)],[c_0_76,c_0_62]) ).
cnf(c_0_83,negated_conjecture,
( ~ theorem(or(not(not(or(not(or(not(p),or(q,r))),or(not(not(or(not(p),not(not(q))))),r)))),not(or(not(or(not(not(or(not(p),not(not(q))))),r)),or(not(p),or(q,r))))))
| ~ theorem(not(not(or(not(or(not(not(or(not(p),not(not(q))))),r)),or(not(p),or(q,r)))))) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,plain,
( theorem(or(not(not(or(X1,or(X2,X3)))),X4))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,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_86,plain,
theorem(or(not(not(or(X1,not(X1)))),X2)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,negated_conjecture,
( ~ theorem(not(not(or(not(or(not(not(or(not(p),not(not(q))))),r)),or(not(p),or(q,r))))))
| ~ theorem(or(not(not(or(not(p),not(not(q))))),or(not(or(not(p),or(q,r))),r))) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_88,plain,
( theorem(not(not(or(X1,or(X2,X3)))))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_85,c_0_43]) ).
cnf(c_0_89,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_48]) ).
cnf(c_0_90,plain,
( theorem(X1)
| ~ theorem(or(X1,not(or(X2,not(X2))))) ),
inference(spm,[status(thm)],[c_0_65,c_0_86]) ).
cnf(c_0_91,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_92,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,X4))
| ~ axiom(or(X2,or(not(X4),X3))) ),
inference(spm,[status(thm)],[c_0_25,c_0_50]) ).
cnf(c_0_93,negated_conjecture,
( ~ theorem(or(not(not(or(not(p),not(not(q))))),or(not(or(not(p),or(q,r))),r)))
| ~ theorem(or(not(p),or(not(or(not(not(or(not(p),not(not(q))))),r)),or(q,r)))) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,plain,
( theorem(or(not(not(X1)),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_89]) ).
cnf(c_0_95,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(not(X1)),X2)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
( theorem(or(X1,or(not(or(not(X2),X3)),or(X4,X3))))
| ~ theorem(or(X1,or(X4,X2))) ),
inference(spm,[status(thm)],[c_0_92,c_0_19]) ).
cnf(c_0_97,negated_conjecture,
( ~ theorem(or(not(p),or(not(or(not(not(or(not(p),not(not(q))))),r)),or(q,r))))
| ~ theorem(or(or(r,not(or(not(p),or(q,r)))),or(not(p),not(not(q))))) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
( theorem(or(X1,or(not(or(not(X2),X3)),or(X4,X3))))
| ~ theorem(or(not(not(X1)),or(X4,X2))) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
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_58]) ).
cnf(c_0_100,plain,
theorem(or(X1,not(not(not(X1))))),
inference(spm,[status(thm)],[c_0_95,c_0_44]) ).
cnf(c_0_101,plain,
( theorem(X1)
| ~ theorem(not(X2))
| ~ axiom(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_72,c_0_31]) ).
cnf(c_0_102,negated_conjecture,
( ~ theorem(or(or(r,not(or(not(p),or(q,r)))),or(not(p),not(not(q)))))
| ~ theorem(or(not(not(not(p))),or(q,not(or(not(p),not(not(q))))))) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
( theorem(or(X1,or(X2,not(or(not(X3),X4)))))
| ~ theorem(or(not(X4),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_67,c_0_99]) ).
cnf(c_0_104,plain,
theorem(or(not(not(not(X1))),X1)),
inference(spm,[status(thm)],[c_0_23,c_0_100]) ).
cnf(c_0_105,plain,
( theorem(or(X1,X2))
| ~ theorem(not(not(or(X2,X1)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_20]) ).
cnf(c_0_106,negated_conjecture,
~ theorem(or(or(r,not(or(not(p),or(q,r)))),or(not(p),not(not(q))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_104])]) ).
cnf(c_0_107,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_105,c_0_88]) ).
cnf(c_0_108,plain,
( theorem(or(X1,or(not(or(X2,X3)),or(X2,X4))))
| ~ theorem(or(X1,or(not(X3),X4))) ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_109,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X2,X4)))
| ~ theorem(or(not(X4),X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_110,negated_conjecture,
~ theorem(or(r,or(or(not(p),not(not(q))),not(or(not(p),or(q,r)))))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
( theorem(or(X1,or(or(X2,X3),not(or(X2,X4)))))
| ~ theorem(or(X1,or(not(X4),X3))) ),
inference(spm,[status(thm)],[c_0_67,c_0_108]) ).
cnf(c_0_112,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(not(X4),X3))
| ~ axiom(or(X2,or(X1,X4))) ),
inference(spm,[status(thm)],[c_0_109,c_0_50]) ).
cnf(c_0_113,negated_conjecture,
~ theorem(or(r,or(not(or(q,r)),not(not(q))))),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_114,plain,
( theorem(or(X1,or(not(or(X2,X1)),X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_112,c_0_20]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL346-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 12:06:30 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.46 Running first-order theorem proving
% 0.22/0.46 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.87l8Z2exth/E---3.1_9150.p
% 76.92/10.30 # Version: 3.1pre001
% 76.92/10.30 # Preprocessing class: FSMSSMSSSSSNFFN.
% 76.92/10.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 76.92/10.30 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 76.92/10.30 # Starting new_bool_3 with 300s (1) cores
% 76.92/10.30 # Starting new_bool_1 with 300s (1) cores
% 76.92/10.30 # Starting sh5l with 300s (1) cores
% 76.92/10.30 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 9284 completed with status 0
% 76.92/10.30 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 76.92/10.30 # Preprocessing class: FSMSSMSSSSSNFFN.
% 76.92/10.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 76.92/10.30 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 76.92/10.30 # No SInE strategy applied
% 76.92/10.30 # Search class: FHUNM-FFSF21-DFFFFFNN
% 76.92/10.30 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 76.92/10.30 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 355s (1) cores
% 76.92/10.30 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 76.92/10.30 # Starting new_bool_3 with 296s (1) cores
% 76.92/10.30 # Starting new_bool_1 with 291s (1) cores
% 76.92/10.30 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 76.92/10.30 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9295 completed with status 0
% 76.92/10.30 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 76.92/10.30 # Preprocessing class: FSMSSMSSSSSNFFN.
% 76.92/10.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 76.92/10.30 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 76.92/10.30 # No SInE strategy applied
% 76.92/10.30 # Search class: FHUNM-FFSF21-DFFFFFNN
% 76.92/10.30 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 76.92/10.30 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 355s (1) cores
% 76.92/10.30 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 76.92/10.30 # Starting new_bool_3 with 296s (1) cores
% 76.92/10.30 # Starting new_bool_1 with 291s (1) cores
% 76.92/10.30 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 76.92/10.30 # Preprocessing time : 0.001 s
% 76.92/10.30 # Presaturation interreduction done
% 76.92/10.30
% 76.92/10.30 # Proof found!
% 76.92/10.30 # SZS status Unsatisfiable
% 76.92/10.30 # SZS output start CNFRefutation
% See solution above
% 76.92/10.30 # Parsed axioms : 11
% 76.92/10.30 # Removed by relevancy pruning/SinE : 0
% 76.92/10.30 # Initial clauses : 11
% 76.92/10.30 # Removed in clause preprocessing : 3
% 76.92/10.30 # Initial clauses in saturation : 8
% 76.92/10.30 # Processed clauses : 55936
% 76.92/10.30 # ...of these trivial : 297
% 76.92/10.30 # ...subsumed : 44377
% 76.92/10.30 # ...remaining for further processing : 11262
% 76.92/10.30 # Other redundant clauses eliminated : 0
% 76.92/10.30 # Clauses deleted for lack of memory : 0
% 76.92/10.30 # Backward-subsumed : 4539
% 76.92/10.30 # Backward-rewritten : 63
% 76.92/10.30 # Generated clauses : 566707
% 76.92/10.30 # ...of the previous two non-redundant : 554704
% 76.92/10.30 # ...aggressively subsumed : 0
% 76.92/10.30 # Contextual simplify-reflections : 112
% 76.92/10.30 # Paramodulations : 566707
% 76.92/10.30 # Factorizations : 0
% 76.92/10.30 # NegExts : 0
% 76.92/10.30 # Equation resolutions : 0
% 76.92/10.30 # Total rewrite steps : 13446
% 76.92/10.30 # Propositional unsat checks : 2
% 76.92/10.30 # Propositional check models : 0
% 76.92/10.30 # Propositional check unsatisfiable : 0
% 76.92/10.30 # Propositional clauses : 0
% 76.92/10.30 # Propositional clauses after purity: 0
% 76.92/10.30 # Propositional unsat core size : 0
% 76.92/10.30 # Propositional preprocessing time : 0.000
% 76.92/10.30 # Propositional encoding time : 0.786
% 76.92/10.30 # Propositional solver time : 0.275
% 76.92/10.30 # Success case prop preproc time : 0.000
% 76.92/10.30 # Success case prop encoding time : 0.000
% 76.92/10.30 # Success case prop solver time : 0.000
% 76.92/10.30 # Current number of processed clauses : 6652
% 76.92/10.30 # Positive orientable unit clauses : 193
% 76.92/10.30 # Positive unorientable unit clauses: 0
% 76.92/10.30 # Negative unit clauses : 296
% 76.92/10.30 # Non-unit-clauses : 6163
% 76.92/10.30 # Current number of unprocessed clauses: 493952
% 76.92/10.30 # ...number of literals in the above : 1387619
% 76.92/10.30 # Current number of archived formulas : 0
% 76.92/10.30 # Current number of archived clauses : 4613
% 76.92/10.30 # Clause-clause subsumption calls (NU) : 10616703
% 76.92/10.30 # Rec. Clause-clause subsumption calls : 8626107
% 76.92/10.30 # Non-unit clause-clause subsumptions : 29918
% 76.92/10.30 # Unit Clause-clause subsumption calls : 305413
% 76.92/10.30 # Rewrite failures with RHS unbound : 0
% 76.92/10.30 # BW rewrite match attempts : 26876
% 76.92/10.30 # BW rewrite match successes : 21
% 76.92/10.30 # Condensation attempts : 0
% 76.92/10.30 # Condensation successes : 0
% 76.92/10.30 # Termbank termtop insertions : 18727014
% 76.92/10.30
% 76.92/10.30 # -------------------------------------------------
% 76.92/10.30 # User time : 9.206 s
% 76.92/10.30 # System time : 0.323 s
% 76.92/10.30 # Total time : 9.529 s
% 76.92/10.30 # Maximum resident set size: 1680 pages
% 76.92/10.30
% 76.92/10.30 # -------------------------------------------------
% 76.92/10.30 # User time : 46.828 s
% 76.92/10.30 # System time : 0.956 s
% 76.92/10.30 # Total time : 47.784 s
% 76.92/10.30 # Maximum resident set size: 1680 pages
% 76.92/10.30 % E---3.1 exiting
% 76.92/10.30 % E---3.1 exiting
%------------------------------------------------------------------------------