TSTP Solution File: PUZ056-2.005 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 : Sat May 4 09:11:10 EDT 2024
% Result : Unsatisfiable 0.12s 0.48s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 86
% Number of leaves : 13
% Syntax : Number of clauses : 116 ( 22 unt; 0 nHn; 59 RR)
% Number of literals : 426 ( 0 equ; 313 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 324 ( 60 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule1,axiom,
( p(X6,X2,X3,X4,X5)
| ~ p(X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',rule1) ).
cnf(rule2,axiom,
( p(X1,X6,X3,X4,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X2)
| ~ neq(X1,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',rule2) ).
cnf(init,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',init) ).
cnf(rule3,axiom,
( p(X1,X2,X6,X4,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X3)
| ~ neq(X1,X6)
| ~ neq(X2,X3)
| ~ neq(X2,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',rule3) ).
cnf(neq7,axiom,
neq(s2,s0),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',neq7) ).
cnf(neq4,axiom,
neq(s1,s0),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',neq4) ).
cnf(neq8,axiom,
neq(s2,s1),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',neq8) ).
cnf(neq6,axiom,
neq(s1,s2),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',neq6) ).
cnf(rule4,axiom,
( p(X1,X2,X3,X6,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X4)
| ~ neq(X1,X6)
| ~ neq(X2,X4)
| ~ neq(X2,X6)
| ~ neq(X3,X4)
| ~ neq(X3,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',rule4) ).
cnf(neq2,axiom,
neq(s0,s1),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',neq2) ).
cnf(neq3,axiom,
neq(s0,s2),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',neq3) ).
cnf(rule5,axiom,
( p(X1,X2,X3,X4,X6)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X5)
| ~ neq(X1,X6)
| ~ neq(X2,X5)
| ~ neq(X2,X6)
| ~ neq(X3,X5)
| ~ neq(X3,X6)
| ~ neq(X4,X5)
| ~ neq(X4,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',rule5) ).
cnf(goal,negated_conjecture,
~ p(s2,s2,s2,s2,s2),
file('/export/starexec/sandbox2/tmp/tmp.mHd9IPYqi0/E---3.1_2047.p',goal) ).
cnf(c_0_13,plain,
( p(X6,X2,X3,X4,X5)
| ~ p(X1,X2,X3,X4,X5) ),
inference(fof_simplification,[status(thm)],[rule1]) ).
cnf(c_0_14,plain,
( p(X1,X6,X3,X4,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X2)
| ~ neq(X1,X6) ),
inference(fof_simplification,[status(thm)],[rule2]) ).
cnf(c_0_15,plain,
( p(X6,X2,X3,X4,X5)
| ~ p(X1,X2,X3,X4,X5) ),
c_0_13 ).
cnf(c_0_16,axiom,
p(s0,s0,s0,s0,s0),
init ).
cnf(c_0_17,plain,
( p(X1,X6,X3,X4,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X2)
| ~ neq(X1,X6) ),
c_0_14 ).
cnf(c_0_18,plain,
p(X1,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( p(X1,X2,s0,s0,s0)
| ~ neq(X1,s0)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
( p(X1,X2,X6,X4,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X3)
| ~ neq(X1,X6)
| ~ neq(X2,X3)
| ~ neq(X2,X6) ),
inference(fof_simplification,[status(thm)],[rule3]) ).
cnf(c_0_21,plain,
( p(X1,X2,s0,s0,s0)
| ~ neq(X3,s0)
| ~ neq(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_22,axiom,
neq(s2,s0),
neq7 ).
cnf(c_0_23,plain,
( p(X1,X2,X6,X4,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X3)
| ~ neq(X1,X6)
| ~ neq(X2,X3)
| ~ neq(X2,X6) ),
c_0_20 ).
cnf(c_0_24,plain,
( p(X1,X2,s0,s0,s0)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(X2,s0)
| ~ neq(X1,s0)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(X2,s0)
| ~ neq(X4,s0)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X4,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_25]) ).
cnf(c_0_27,axiom,
neq(s1,s0),
neq4 ).
cnf(c_0_28,axiom,
neq(s2,s1),
neq8 ).
cnf(c_0_29,plain,
( p(X1,s1,X2,s0,s0)
| ~ neq(X3,s0)
| ~ neq(s1,X2)
| ~ neq(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_30,plain,
( p(X1,s1,X2,s0,s0)
| ~ neq(s1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_27]) ).
cnf(c_0_31,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(X1,s1)
| ~ neq(s1,X3)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_32,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(X4,s1)
| ~ neq(s1,X3)
| ~ neq(X4,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_31]) ).
cnf(c_0_33,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(s1,X3)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_34,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(s1,X3)
| ~ neq(s2,X4)
| ~ neq(X1,X2)
| ~ neq(X1,X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_33]) ).
cnf(c_0_35,axiom,
neq(s1,s2),
neq6 ).
cnf(c_0_36,plain,
( p(X1,X2,s2,s0,s0)
| ~ neq(s2,X3)
| ~ neq(X1,X2)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,plain,
( p(X1,X2,s2,s0,s0)
| ~ neq(X1,s1)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_28]) ).
cnf(c_0_38,plain,
( p(X1,X2,X3,X6,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X4)
| ~ neq(X1,X6)
| ~ neq(X2,X4)
| ~ neq(X2,X6)
| ~ neq(X3,X4)
| ~ neq(X3,X6) ),
inference(fof_simplification,[status(thm)],[rule4]) ).
cnf(c_0_39,plain,
( p(X1,X2,s2,s0,s0)
| ~ neq(X3,s1)
| ~ neq(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_37]) ).
cnf(c_0_40,axiom,
neq(s0,s1),
neq2 ).
cnf(c_0_41,plain,
( p(X1,X2,X3,X6,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X4)
| ~ neq(X1,X6)
| ~ neq(X2,X4)
| ~ neq(X2,X6)
| ~ neq(X3,X4)
| ~ neq(X3,X6) ),
c_0_38 ).
cnf(c_0_42,plain,
( p(X1,X2,s2,s0,s0)
| ~ neq(s0,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
( p(X1,X2,s2,X3,s0)
| ~ neq(s2,X3)
| ~ neq(X2,s0)
| ~ neq(X1,s0)
| ~ neq(s0,X2)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_22])]) ).
cnf(c_0_44,plain,
( p(X1,X2,s2,X3,s0)
| ~ neq(s2,X3)
| ~ neq(X2,s0)
| ~ neq(X4,s0)
| ~ neq(s0,X2)
| ~ neq(X2,X3)
| ~ neq(X4,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_43]) ).
cnf(c_0_45,plain,
( p(X1,X2,s2,s1,s0)
| ~ neq(X2,s0)
| ~ neq(X3,s0)
| ~ neq(s0,X2)
| ~ neq(X2,s1)
| ~ neq(X3,s1) ),
inference(spm,[status(thm)],[c_0_44,c_0_28]) ).
cnf(c_0_46,axiom,
neq(s0,s2),
neq3 ).
cnf(c_0_47,plain,
( p(X1,s2,s2,s1,s0)
| ~ neq(X2,s0)
| ~ neq(X2,s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_22]),c_0_46]),c_0_28])]) ).
cnf(c_0_48,plain,
p(X1,s2,s2,s1,s0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_22]),c_0_28])]) ).
cnf(c_0_49,plain,
( p(X1,X2,s2,s1,s0)
| ~ neq(X1,s2)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_48]) ).
cnf(c_0_50,plain,
( p(X1,X2,s2,s1,s0)
| ~ neq(X3,s2)
| ~ neq(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_49]) ).
cnf(c_0_51,plain,
( p(X1,X2,s2,s1,s0)
| ~ neq(s1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_35]) ).
cnf(c_0_52,plain,
( p(X1,X2,X3,s1,s0)
| ~ neq(X2,s2)
| ~ neq(X1,s2)
| ~ neq(s1,X2)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_51]) ).
cnf(c_0_53,plain,
( p(X1,X2,X3,s1,s0)
| ~ neq(X2,s2)
| ~ neq(X4,s2)
| ~ neq(s1,X2)
| ~ neq(X2,X3)
| ~ neq(X4,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_52]) ).
cnf(c_0_54,plain,
( p(X1,s0,X2,s1,s0)
| ~ neq(X3,s2)
| ~ neq(s0,X2)
| ~ neq(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_27])]) ).
cnf(c_0_55,plain,
( p(X1,s0,X2,s1,s0)
| ~ neq(s0,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_46]) ).
cnf(c_0_56,plain,
( p(X1,X2,X3,s1,s0)
| ~ neq(X1,s0)
| ~ neq(s0,X3)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_55]) ).
cnf(c_0_57,plain,
( p(X1,X2,X3,s1,s0)
| ~ neq(X4,s0)
| ~ neq(s0,X3)
| ~ neq(X4,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_56]) ).
cnf(c_0_58,plain,
( p(X1,X2,X3,s1,s0)
| ~ neq(s0,X3)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_22]) ).
cnf(c_0_59,plain,
( p(X1,X2,X3,s1,s0)
| ~ neq(s0,X3)
| ~ neq(s2,X4)
| ~ neq(X1,X2)
| ~ neq(X1,X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_58]) ).
cnf(c_0_60,plain,
( p(X1,X2,s1,s1,s0)
| ~ neq(s2,X3)
| ~ neq(X1,X2)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_40]) ).
cnf(c_0_61,plain,
( p(X1,X2,s1,s1,s0)
| ~ neq(X1,s1)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_28]) ).
cnf(c_0_62,plain,
( p(X1,X2,X3,X4,X6)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X5)
| ~ neq(X1,X6)
| ~ neq(X2,X5)
| ~ neq(X2,X6)
| ~ neq(X3,X5)
| ~ neq(X3,X6)
| ~ neq(X4,X5)
| ~ neq(X4,X6) ),
inference(fof_simplification,[status(thm)],[rule5]) ).
cnf(c_0_63,plain,
( p(X1,X2,s1,s1,s0)
| ~ neq(X3,s1)
| ~ neq(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_61]) ).
cnf(c_0_64,plain,
( p(X1,X2,X3,X4,X6)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X5)
| ~ neq(X1,X6)
| ~ neq(X2,X5)
| ~ neq(X2,X6)
| ~ neq(X3,X5)
| ~ neq(X3,X6)
| ~ neq(X4,X5)
| ~ neq(X4,X6) ),
c_0_62 ).
cnf(c_0_65,plain,
( p(X1,X2,s1,s1,s0)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_28]) ).
cnf(c_0_66,plain,
( p(X1,X2,s1,s1,X3)
| ~ neq(s1,X3)
| ~ neq(X2,s0)
| ~ neq(X1,s0)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_27])]) ).
cnf(c_0_67,plain,
( p(X1,X2,s1,s1,X3)
| ~ neq(s1,X3)
| ~ neq(X2,s0)
| ~ neq(X4,s0)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X4,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_66]) ).
cnf(c_0_68,plain,
( p(X1,X2,s1,s1,s2)
| ~ neq(X2,s0)
| ~ neq(X3,s0)
| ~ neq(s2,X2)
| ~ neq(X2,s2)
| ~ neq(X3,s2) ),
inference(spm,[status(thm)],[c_0_67,c_0_35]) ).
cnf(c_0_69,plain,
( p(X1,s1,s1,s1,s2)
| ~ neq(X2,s0)
| ~ neq(X2,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_27]),c_0_28]),c_0_35])]) ).
cnf(c_0_70,plain,
p(X1,s1,s1,s1,s2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_27]),c_0_35])]) ).
cnf(c_0_71,plain,
( p(X1,X2,s1,s1,s2)
| ~ neq(X1,s1)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_70]) ).
cnf(c_0_72,plain,
( p(X1,X2,s1,s1,s2)
| ~ neq(X3,s1)
| ~ neq(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_71]) ).
cnf(c_0_73,plain,
( p(X1,X2,s1,s1,s2)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_28]) ).
cnf(c_0_74,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(X2,s1)
| ~ neq(X1,s1)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_73]) ).
cnf(c_0_75,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(X2,s1)
| ~ neq(X4,s1)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X4,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_74]) ).
cnf(c_0_76,plain,
( p(X1,s0,X2,s1,s2)
| ~ neq(X3,s1)
| ~ neq(s0,X2)
| ~ neq(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_40]),c_0_22])]) ).
cnf(c_0_77,plain,
( p(X1,s0,X2,s1,s2)
| ~ neq(s0,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_40]) ).
cnf(c_0_78,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(X1,s0)
| ~ neq(s0,X3)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_77]) ).
cnf(c_0_79,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(X4,s0)
| ~ neq(s0,X3)
| ~ neq(X4,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_78]) ).
cnf(c_0_80,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(s0,X3)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_22]) ).
cnf(c_0_81,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(s0,X3)
| ~ neq(s2,X4)
| ~ neq(X1,X2)
| ~ neq(X1,X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_80]) ).
cnf(c_0_82,plain,
( p(X1,X2,s2,s1,s2)
| ~ neq(s2,X3)
| ~ neq(X1,X2)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_81,c_0_46]) ).
cnf(c_0_83,plain,
( p(X1,X2,s2,s1,s2)
| ~ neq(X1,s1)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_28]) ).
cnf(c_0_84,plain,
( p(X1,X2,s2,s1,s2)
| ~ neq(X3,s1)
| ~ neq(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_83]) ).
cnf(c_0_85,plain,
( p(X1,X2,s2,s1,s2)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_28]) ).
cnf(c_0_86,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(X2,s2)
| ~ neq(X1,s2)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_85]) ).
cnf(c_0_87,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(X2,s2)
| ~ neq(X4,s2)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X4,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_86]) ).
cnf(c_0_88,plain,
( p(X1,s1,X2,s1,s2)
| ~ neq(X3,s2)
| ~ neq(s1,X2)
| ~ neq(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_35]),c_0_28])]) ).
cnf(c_0_89,plain,
( p(X1,s1,X2,s1,s2)
| ~ neq(s1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_35]) ).
cnf(c_0_90,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(X1,s1)
| ~ neq(s1,X3)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_89]) ).
cnf(c_0_91,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(X4,s1)
| ~ neq(s1,X3)
| ~ neq(X4,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_90]) ).
cnf(c_0_92,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(s1,X3)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_28]) ).
cnf(c_0_93,plain,
( p(X1,X2,X3,s1,s2)
| ~ neq(s1,X3)
| ~ neq(s2,X4)
| ~ neq(X1,X2)
| ~ neq(X1,X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_92]) ).
cnf(c_0_94,plain,
( p(X1,X2,s0,s1,s2)
| ~ neq(s2,X3)
| ~ neq(X1,X2)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_27]) ).
cnf(c_0_95,plain,
( p(X1,X2,s0,s1,s2)
| ~ neq(X1,s1)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_28]) ).
cnf(c_0_96,plain,
( p(X1,X2,s0,s1,s2)
| ~ neq(X3,s1)
| ~ neq(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_95]) ).
cnf(c_0_97,plain,
( p(X1,X2,s0,s1,s2)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_28]) ).
cnf(c_0_98,plain,
( p(X1,X2,s0,X3,s2)
| ~ neq(s0,X3)
| ~ neq(X2,s1)
| ~ neq(X1,s1)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_97]),c_0_40])]) ).
cnf(c_0_99,plain,
( p(X1,X2,s0,X3,s2)
| ~ neq(s0,X3)
| ~ neq(X2,s1)
| ~ neq(X4,s1)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X4,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_98]) ).
cnf(c_0_100,plain,
( p(X1,X2,s0,s2,s2)
| ~ neq(X2,s1)
| ~ neq(X3,s1)
| ~ neq(s2,X2)
| ~ neq(X2,s2)
| ~ neq(X3,s2) ),
inference(spm,[status(thm)],[c_0_99,c_0_46]) ).
cnf(c_0_101,plain,
( p(X1,s0,s0,s2,s2)
| ~ neq(X2,s1)
| ~ neq(X2,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_40]),c_0_22]),c_0_46])]) ).
cnf(c_0_102,plain,
p(X1,s0,s0,s2,s2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_40]),c_0_46])]) ).
cnf(c_0_103,plain,
( p(X1,X2,s0,s2,s2)
| ~ neq(X1,s0)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_102]) ).
cnf(c_0_104,plain,
( p(X1,X2,s0,s2,s2)
| ~ neq(X3,s0)
| ~ neq(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_103]) ).
cnf(c_0_105,plain,
( p(X1,X2,s0,s2,s2)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_22]) ).
cnf(c_0_106,plain,
( p(X1,X2,X3,s2,s2)
| ~ neq(X2,s0)
| ~ neq(X1,s0)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_105]) ).
cnf(c_0_107,plain,
( p(X1,X2,X3,s2,s2)
| ~ neq(X2,s0)
| ~ neq(X4,s0)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X4,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_106]) ).
cnf(c_0_108,plain,
( p(X1,s1,X2,s2,s2)
| ~ neq(X3,s0)
| ~ neq(s1,X2)
| ~ neq(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_27]),c_0_28])]) ).
cnf(c_0_109,plain,
( p(X1,s1,X2,s2,s2)
| ~ neq(s1,X2) ),
inference(spm,[status(thm)],[c_0_108,c_0_27]) ).
cnf(c_0_110,plain,
( p(X1,X2,X3,s2,s2)
| ~ neq(X1,s1)
| ~ neq(s1,X3)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_109]) ).
cnf(c_0_111,negated_conjecture,
~ p(s2,s2,s2,s2,s2),
inference(fof_simplification,[status(thm)],[goal]) ).
cnf(c_0_112,plain,
( p(X1,X2,X3,s2,s2)
| ~ neq(X4,s1)
| ~ neq(s1,X3)
| ~ neq(X4,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
~ p(s2,s2,s2,s2,s2),
c_0_111 ).
cnf(c_0_114,plain,
( p(X1,X2,X3,s2,s2)
| ~ neq(s1,X3)
| ~ neq(s0,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_40]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_35]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri May 3 11:13:54 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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.mHd9IPYqi0/E---3.1_2047.p
% 0.12/0.48 # Version: 3.1.0
% 0.12/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.12/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.12/0.48 # Starting sh5l with 300s (1) cores
% 0.12/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2178 completed with status 0
% 0.12/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.48 # No SInE strategy applied
% 0.12/0.48 # Search class: FHUNF-FFSM00-SFFFFFNN
% 0.12/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.12/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.48 # Starting new_bool_3 with 136s (1) cores
% 0.12/0.48 # Starting new_bool_1 with 136s (1) cores
% 0.12/0.48 # Starting sh5l with 136s (1) cores
% 0.12/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2186 completed with status 0
% 0.12/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.48 # No SInE strategy applied
% 0.12/0.48 # Search class: FHUNF-FFSM00-SFFFFFNN
% 0.12/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.12/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.48 # Preprocessing time : 0.001 s
% 0.12/0.48 # Presaturation interreduction done
% 0.12/0.48
% 0.12/0.48 # Proof found!
% 0.12/0.48 # SZS status Unsatisfiable
% 0.12/0.48 # SZS output start CNFRefutation
% See solution above
% 0.12/0.48 # Parsed axioms : 16
% 0.12/0.48 # Removed by relevancy pruning/SinE : 0
% 0.12/0.48 # Initial clauses : 16
% 0.12/0.48 # Removed in clause preprocessing : 0
% 0.12/0.48 # Initial clauses in saturation : 16
% 0.12/0.48 # Processed clauses : 1767
% 0.12/0.48 # ...of these trivial : 0
% 0.12/0.48 # ...subsumed : 849
% 0.12/0.48 # ...remaining for further processing : 918
% 0.12/0.48 # Other redundant clauses eliminated : 0
% 0.12/0.48 # Clauses deleted for lack of memory : 0
% 0.12/0.48 # Backward-subsumed : 275
% 0.12/0.48 # Backward-rewritten : 24
% 0.12/0.48 # Generated clauses : 3091
% 0.12/0.48 # ...of the previous two non-redundant : 3036
% 0.12/0.48 # ...aggressively subsumed : 0
% 0.12/0.48 # Contextual simplify-reflections : 0
% 0.12/0.48 # Paramodulations : 3091
% 0.12/0.48 # Factorizations : 0
% 0.12/0.48 # NegExts : 0
% 0.12/0.48 # Equation resolutions : 0
% 0.12/0.48 # Disequality decompositions : 0
% 0.12/0.48 # Total rewrite steps : 787
% 0.12/0.48 # ...of those cached : 756
% 0.12/0.48 # Propositional unsat checks : 0
% 0.12/0.48 # Propositional check models : 0
% 0.12/0.48 # Propositional check unsatisfiable : 0
% 0.12/0.48 # Propositional clauses : 0
% 0.12/0.48 # Propositional clauses after purity: 0
% 0.12/0.48 # Propositional unsat core size : 0
% 0.12/0.48 # Propositional preprocessing time : 0.000
% 0.12/0.48 # Propositional encoding time : 0.000
% 0.12/0.48 # Propositional solver time : 0.000
% 0.12/0.48 # Success case prop preproc time : 0.000
% 0.12/0.48 # Success case prop encoding time : 0.000
% 0.12/0.48 # Success case prop solver time : 0.000
% 0.12/0.48 # Current number of processed clauses : 603
% 0.12/0.48 # Positive orientable unit clauses : 30
% 0.12/0.48 # Positive unorientable unit clauses: 0
% 0.12/0.48 # Negative unit clauses : 4
% 0.12/0.48 # Non-unit-clauses : 569
% 0.12/0.48 # Current number of unprocessed clauses: 652
% 0.12/0.48 # ...number of literals in the above : 6751
% 0.12/0.48 # Current number of archived formulas : 0
% 0.12/0.48 # Current number of archived clauses : 315
% 0.12/0.48 # Clause-clause subsumption calls (NU) : 49988
% 0.12/0.48 # Rec. Clause-clause subsumption calls : 6960
% 0.12/0.48 # Non-unit clause-clause subsumptions : 923
% 0.12/0.48 # Unit Clause-clause subsumption calls : 0
% 0.12/0.48 # Rewrite failures with RHS unbound : 0
% 0.12/0.48 # BW rewrite match attempts : 349
% 0.12/0.48 # BW rewrite match successes : 24
% 0.12/0.48 # Condensation attempts : 0
% 0.12/0.48 # Condensation successes : 0
% 0.12/0.48 # Termbank termtop insertions : 74591
% 0.12/0.48 # Search garbage collected termcells : 63
% 0.12/0.48
% 0.12/0.48 # -------------------------------------------------
% 0.12/0.48 # User time : 0.091 s
% 0.12/0.48 # System time : 0.002 s
% 0.12/0.48 # Total time : 0.093 s
% 0.12/0.48 # Maximum resident set size: 1648 pages
% 0.12/0.48
% 0.12/0.48 # -------------------------------------------------
% 0.12/0.48 # User time : 0.456 s
% 0.12/0.48 # System time : 0.006 s
% 0.12/0.48 # Total time : 0.462 s
% 0.12/0.48 # Maximum resident set size: 1700 pages
% 0.12/0.48 % E---3.1 exiting
% 0.12/0.48 % E exiting
%------------------------------------------------------------------------------