%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MSC015-1.010 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:28:39 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.55s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 12
% Syntax : Number of clauses : 210 ( 60 unt; 0 nHn; 210 RR)
% Number of literals : 360 ( 0 equ; 207 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-10 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 345 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goal,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(rule1,axiom,
( ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0)
| p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).
cnf(rule2,axiom,
( ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1)
| p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).
cnf(rule3,axiom,
( ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1)
| p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).
cnf(rule4,axiom,
( ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1)
| p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4) ).
cnf(rule5,axiom,
( ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1)
| p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).
cnf(rule6,axiom,
( ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule6) ).
cnf(rule7,axiom,
( ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule7) ).
cnf(rule8,axiom,
( ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8) ).
cnf(rule9,axiom,
( ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9) ).
cnf(rule10,axiom,
( ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule10) ).
cnf(init,axiom,
p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).
cnf(c_0_12,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1),
inference(fof_simplification,[status(thm)],[goal]) ).
cnf(c_0_13,plain,
( ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0)
| p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1) ),
inference(fof_simplification,[status(thm)],[rule1]) ).
cnf(c_0_14,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1),
c_0_12 ).
cnf(c_0_15,plain,
( ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0)
| p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1) ),
c_0_13 ).
cnf(c_0_16,plain,
( ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1)
| p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0) ),
inference(fof_simplification,[status(thm)],[rule2]) ).
cnf(c_0_17,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1)
| p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0) ),
c_0_16 ).
cnf(c_0_19,plain,
( ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1)
| p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0) ),
inference(fof_simplification,[status(thm)],[rule3]) ).
cnf(c_0_20,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1)
| p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0) ),
c_0_19 ).
cnf(c_0_22,plain,
( ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1)
| p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0) ),
inference(fof_simplification,[status(thm)],[rule4]) ).
cnf(c_0_23,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_24,plain,
( ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0)
| p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_25,plain,
( ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1)
| p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0) ),
c_0_22 ).
cnf(c_0_26,plain,
( ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1)
| p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0) ),
inference(fof_simplification,[status(thm)],[rule5]) ).
cnf(c_0_27,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s1,s0,s1,s0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0)
| p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_29,plain,
( ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1)
| p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0) ),
c_0_26 ).
cnf(c_0_30,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(fof_simplification,[status(thm)],[rule6]) ).
cnf(c_0_31,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s1),
inference(spm,[status(thm)],[c_0_27,c_0_18]) ).
cnf(c_0_32,plain,
( ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s1)
| p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_33,plain,
( ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0)
| p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_29,c_0_15]) ).
cnf(c_0_34,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
c_0_30 ).
cnf(c_0_35,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(fof_simplification,[status(thm)],[rule7]) ).
cnf(c_0_36,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0),
inference(spm,[status(thm)],[c_0_31,c_0_15]) ).
cnf(c_0_37,plain,
( ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0)
| p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_38,plain,
( ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s1)
| p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_33,c_0_18]) ).
cnf(c_0_39,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_34,c_0_15]) ).
cnf(c_0_40,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
c_0_35 ).
cnf(c_0_41,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(fof_simplification,[status(thm)],[rule8]) ).
cnf(c_0_42,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s0,s1,s0,s0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0)
| p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_38,c_0_15]) ).
cnf(c_0_44,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s1)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_39,c_0_18]) ).
cnf(c_0_45,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_46,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
c_0_41 ).
cnf(c_0_47,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(fof_simplification,[status(thm)],[rule9]) ).
cnf(c_0_48,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s0,s0,s1,s0),
inference(spm,[status(thm)],[c_0_42,c_0_24]) ).
cnf(c_0_49,plain,
( ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s1,s0)
| p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_43,c_0_24]) ).
cnf(c_0_50,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_44,c_0_15]) ).
cnf(c_0_51,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s1)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_45,c_0_18]) ).
cnf(c_0_52,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_46,c_0_15]) ).
cnf(c_0_53,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
c_0_47 ).
cnf(c_0_54,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(fof_simplification,[status(thm)],[rule10]) ).
cnf(c_0_55,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s1),
inference(spm,[status(thm)],[c_0_48,c_0_18]) ).
cnf(c_0_56,plain,
( ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s1)
| p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_49,c_0_18]) ).
cnf(c_0_57,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s1,s0)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_50,c_0_24]) ).
cnf(c_0_58,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_51,c_0_15]) ).
cnf(c_0_59,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s1)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_52,c_0_18]) ).
cnf(c_0_60,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_53,c_0_15]) ).
cnf(c_0_61,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
c_0_54 ).
cnf(c_0_62,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_55,c_0_15]) ).
cnf(c_0_63,plain,
( ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0)
| p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_56,c_0_15]) ).
cnf(c_0_64,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s1)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_57,c_0_18]) ).
cnf(c_0_65,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s1,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_58,c_0_24]) ).
cnf(c_0_66,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_59,c_0_15]) ).
cnf(c_0_67,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s1)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_60,c_0_18]) ).
cnf(c_0_68,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_61,c_0_15]) ).
cnf(c_0_69,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s0,s1,s0,s0,s0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_64,c_0_15]) ).
cnf(c_0_71,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s1)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_65,c_0_18]) ).
cnf(c_0_72,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s1,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_66,c_0_24]) ).
cnf(c_0_73,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_67,c_0_15]) ).
cnf(c_0_74,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s1)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_68,c_0_18]) ).
cnf(c_0_75,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s0,s0,s1,s0,s0),
inference(spm,[status(thm)],[c_0_69,c_0_37]) ).
cnf(c_0_76,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s0,s1,s0,s0)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_70,c_0_37]) ).
cnf(c_0_77,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_71,c_0_15]) ).
cnf(c_0_78,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s1)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_72,c_0_18]) ).
cnf(c_0_79,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s1,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_73,c_0_24]) ).
cnf(c_0_80,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_74,c_0_15]) ).
cnf(c_0_81,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s0,s0,s0,s1,s0),
inference(spm,[status(thm)],[c_0_75,c_0_24]) ).
cnf(c_0_82,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s1,s0)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_76,c_0_24]) ).
cnf(c_0_83,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s0,s1,s0,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_77,c_0_37]) ).
cnf(c_0_84,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_78,c_0_15]) ).
cnf(c_0_85,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s1)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_79,c_0_18]) ).
cnf(c_0_86,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s1,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_80,c_0_24]) ).
cnf(c_0_87,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s1),
inference(spm,[status(thm)],[c_0_81,c_0_18]) ).
cnf(c_0_88,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s1)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_82,c_0_18]) ).
cnf(c_0_89,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s1,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_83,c_0_24]) ).
cnf(c_0_90,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s0,s1,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_84,c_0_37]) ).
cnf(c_0_91,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_85,c_0_15]) ).
cnf(c_0_92,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s1)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_86,c_0_18]) ).
cnf(c_0_93,negated_conjecture,
~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_87,c_0_15]) ).
cnf(c_0_94,plain,
( ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0)
| p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_88,c_0_15]) ).
cnf(c_0_95,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s1)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_89,c_0_18]) ).
cnf(c_0_96,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s1,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_90,c_0_24]) ).
cnf(c_0_97,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s0,s1,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_91,c_0_37]) ).
cnf(c_0_98,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_92,c_0_15]) ).
cnf(c_0_99,negated_conjecture,
~ p(s1,s1,s1,s1,s0,s1,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,plain,
( ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_95,c_0_15]) ).
cnf(c_0_101,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s1)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_96,c_0_18]) ).
cnf(c_0_102,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s1,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_97,c_0_24]) ).
cnf(c_0_103,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s0,s1,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_98,c_0_37]) ).
cnf(c_0_104,negated_conjecture,
~ p(s1,s1,s1,s1,s0,s0,s1,s0,s0,s0),
inference(spm,[status(thm)],[c_0_99,c_0_63]) ).
cnf(c_0_105,plain,
( ~ p(X1,X2,X3,s0,s1,s0,s1,s0,s0,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_100,c_0_63]) ).
cnf(c_0_106,plain,
( ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_101,c_0_15]) ).
cnf(c_0_107,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s1)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_102,c_0_18]) ).
cnf(c_0_108,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s1,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_103,c_0_24]) ).
cnf(c_0_109,negated_conjecture,
~ p(s1,s1,s1,s1,s0,s0,s0,s1,s0,s0),
inference(spm,[status(thm)],[c_0_104,c_0_37]) ).
cnf(c_0_110,plain,
( ~ p(X1,X2,X3,s0,s1,s0,s0,s1,s0,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_105,c_0_37]) ).
cnf(c_0_111,plain,
( ~ p(X1,X2,s0,s1,s1,s0,s1,s0,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_106,c_0_63]) ).
cnf(c_0_112,plain,
( ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_107,c_0_15]) ).
cnf(c_0_113,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s1)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_108,c_0_18]) ).
cnf(c_0_114,negated_conjecture,
~ p(s1,s1,s1,s1,s0,s0,s0,s0,s1,s0),
inference(spm,[status(thm)],[c_0_109,c_0_24]) ).
cnf(c_0_115,plain,
( ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s1,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_110,c_0_24]) ).
cnf(c_0_116,plain,
( ~ p(X1,X2,s0,s1,s1,s0,s0,s1,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_111,c_0_37]) ).
cnf(c_0_117,plain,
( ~ p(X1,s0,s1,s1,s1,s0,s1,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_112,c_0_63]) ).
cnf(c_0_118,plain,
( ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_113,c_0_15]) ).
cnf(c_0_119,negated_conjecture,
~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s1),
inference(spm,[status(thm)],[c_0_114,c_0_18]) ).
cnf(c_0_120,plain,
( ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s1)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_115,c_0_18]) ).
cnf(c_0_121,plain,
( ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s1,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_116,c_0_24]) ).
cnf(c_0_122,plain,
( ~ p(X1,s0,s1,s1,s1,s0,s0,s1,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_117,c_0_37]) ).
cnf(c_0_123,plain,
( ~ p(s0,s1,s1,s1,s1,s0,s1,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_118,c_0_63]) ).
cnf(c_0_124,negated_conjecture,
~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_119,c_0_15]) ).
cnf(c_0_125,plain,
( ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0)
| p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_120,c_0_15]) ).
cnf(c_0_126,plain,
( ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s1)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_121,c_0_18]) ).
cnf(c_0_127,plain,
( ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s1,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_122,c_0_24]) ).
cnf(c_0_128,plain,
( ~ p(s0,s1,s1,s1,s1,s0,s0,s1,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_123,c_0_37]) ).
cnf(c_0_129,negated_conjecture,
~ p(s1,s1,s1,s0,s1,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,plain,
( ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_126,c_0_15]) ).
cnf(c_0_131,plain,
( ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s1)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_127,c_0_18]) ).
cnf(c_0_132,plain,
( ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s1,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_128,c_0_24]) ).
cnf(c_0_133,negated_conjecture,
~ p(s1,s1,s1,s0,s0,s1,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_129,c_0_94]) ).
cnf(c_0_134,plain,
( ~ p(X1,X2,s0,s1,s0,s1,s0,s0,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_130,c_0_94]) ).
cnf(c_0_135,plain,
( ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_131,c_0_15]) ).
cnf(c_0_136,plain,
( ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s1)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_132,c_0_18]) ).
cnf(c_0_137,negated_conjecture,
~ p(s1,s1,s1,s0,s0,s0,s1,s0,s0,s0),
inference(spm,[status(thm)],[c_0_133,c_0_63]) ).
cnf(c_0_138,plain,
( ~ p(X1,X2,s0,s1,s0,s0,s1,s0,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_134,c_0_63]) ).
cnf(c_0_139,plain,
( ~ p(X1,s0,s1,s1,s0,s1,s0,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_135,c_0_94]) ).
cnf(c_0_140,plain,
( ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_136,c_0_15]) ).
cnf(c_0_141,negated_conjecture,
~ p(s1,s1,s1,s0,s0,s0,s0,s1,s0,s0),
inference(spm,[status(thm)],[c_0_137,c_0_37]) ).
cnf(c_0_142,plain,
( ~ p(X1,X2,s0,s1,s0,s0,s0,s1,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_138,c_0_37]) ).
cnf(c_0_143,plain,
( ~ p(X1,s0,s1,s1,s0,s0,s1,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_139,c_0_63]) ).
cnf(c_0_144,plain,
( ~ p(s0,s1,s1,s1,s0,s1,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_140,c_0_94]) ).
cnf(c_0_145,negated_conjecture,
~ p(s1,s1,s1,s0,s0,s0,s0,s0,s1,s0),
inference(spm,[status(thm)],[c_0_141,c_0_24]) ).
cnf(c_0_146,plain,
( ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s1,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_142,c_0_24]) ).
cnf(c_0_147,plain,
( ~ p(X1,s0,s1,s1,s0,s0,s0,s1,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_143,c_0_37]) ).
cnf(c_0_148,plain,
( ~ p(s0,s1,s1,s1,s0,s0,s1,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_144,c_0_63]) ).
cnf(c_0_149,negated_conjecture,
~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s1),
inference(spm,[status(thm)],[c_0_145,c_0_18]) ).
cnf(c_0_150,plain,
( ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s1)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_146,c_0_18]) ).
cnf(c_0_151,plain,
( ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s1,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_147,c_0_24]) ).
cnf(c_0_152,plain,
( ~ p(s0,s1,s1,s1,s0,s0,s0,s1,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_148,c_0_37]) ).
cnf(c_0_153,negated_conjecture,
~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_149,c_0_15]) ).
cnf(c_0_154,plain,
( ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0)
| p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_150,c_0_15]) ).
cnf(c_0_155,plain,
( ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s1)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_151,c_0_18]) ).
cnf(c_0_156,plain,
( ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s1,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_152,c_0_24]) ).
cnf(c_0_157,negated_conjecture,
~ p(s1,s1,s0,s1,s0,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_158,plain,
( ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_155,c_0_15]) ).
cnf(c_0_159,plain,
( ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s1)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_156,c_0_18]) ).
cnf(c_0_160,negated_conjecture,
~ p(s1,s1,s0,s0,s1,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_157,c_0_125]) ).
cnf(c_0_161,plain,
( ~ p(X1,s0,s1,s0,s1,s0,s0,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_158,c_0_125]) ).
cnf(c_0_162,plain,
( ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_159,c_0_15]) ).
cnf(c_0_163,negated_conjecture,
~ p(s1,s1,s0,s0,s0,s1,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_160,c_0_94]) ).
cnf(c_0_164,plain,
( ~ p(X1,s0,s1,s0,s0,s1,s0,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_161,c_0_94]) ).
cnf(c_0_165,plain,
( ~ p(s0,s1,s1,s0,s1,s0,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_162,c_0_125]) ).
cnf(c_0_166,negated_conjecture,
~ p(s1,s1,s0,s0,s0,s0,s1,s0,s0,s0),
inference(spm,[status(thm)],[c_0_163,c_0_63]) ).
cnf(c_0_167,plain,
( ~ p(X1,s0,s1,s0,s0,s0,s1,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_164,c_0_63]) ).
cnf(c_0_168,plain,
( ~ p(s0,s1,s1,s0,s0,s1,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_165,c_0_94]) ).
cnf(c_0_169,negated_conjecture,
~ p(s1,s1,s0,s0,s0,s0,s0,s1,s0,s0),
inference(spm,[status(thm)],[c_0_166,c_0_37]) ).
cnf(c_0_170,plain,
( ~ p(X1,s0,s1,s0,s0,s0,s0,s1,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_167,c_0_37]) ).
cnf(c_0_171,plain,
( ~ p(s0,s1,s1,s0,s0,s0,s1,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_168,c_0_63]) ).
cnf(c_0_172,negated_conjecture,
~ p(s1,s1,s0,s0,s0,s0,s0,s0,s1,s0),
inference(spm,[status(thm)],[c_0_169,c_0_24]) ).
cnf(c_0_173,plain,
( ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s1,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_170,c_0_24]) ).
cnf(c_0_174,plain,
( ~ p(s0,s1,s1,s0,s0,s0,s0,s1,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_171,c_0_37]) ).
cnf(c_0_175,negated_conjecture,
~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s1),
inference(spm,[status(thm)],[c_0_172,c_0_18]) ).
cnf(c_0_176,plain,
( ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s1)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_173,c_0_18]) ).
cnf(c_0_177,plain,
( ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s1,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_174,c_0_24]) ).
cnf(c_0_178,negated_conjecture,
~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_175,c_0_15]) ).
cnf(c_0_179,plain,
( ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0)
| p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_176,c_0_15]) ).
cnf(c_0_180,plain,
( ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s1)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_177,c_0_18]) ).
cnf(c_0_181,negated_conjecture,
~ p(s1,s0,s1,s0,s0,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_182,plain,
( ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_180,c_0_15]) ).
cnf(c_0_183,negated_conjecture,
~ p(s1,s0,s0,s1,s0,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_181,c_0_154]) ).
cnf(c_0_184,plain,
( ~ p(s0,s1,s0,s1,s0,s0,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_182,c_0_154]) ).
cnf(c_0_185,negated_conjecture,
~ p(s1,s0,s0,s0,s1,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_183,c_0_125]) ).
cnf(c_0_186,plain,
( ~ p(s0,s1,s0,s0,s1,s0,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_184,c_0_125]) ).
cnf(c_0_187,negated_conjecture,
~ p(s1,s0,s0,s0,s0,s1,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_185,c_0_94]) ).
cnf(c_0_188,plain,
( ~ p(s0,s1,s0,s0,s0,s1,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_186,c_0_94]) ).
cnf(c_0_189,negated_conjecture,
~ p(s1,s0,s0,s0,s0,s0,s1,s0,s0,s0),
inference(spm,[status(thm)],[c_0_187,c_0_63]) ).
cnf(c_0_190,plain,
( ~ p(s0,s1,s0,s0,s0,s0,s1,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_188,c_0_63]) ).
cnf(c_0_191,negated_conjecture,
~ p(s1,s0,s0,s0,s0,s0,s0,s1,s0,s0),
inference(spm,[status(thm)],[c_0_189,c_0_37]) ).
cnf(c_0_192,plain,
( ~ p(s0,s1,s0,s0,s0,s0,s0,s1,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_190,c_0_37]) ).
cnf(c_0_193,negated_conjecture,
~ p(s1,s0,s0,s0,s0,s0,s0,s0,s1,s0),
inference(spm,[status(thm)],[c_0_191,c_0_24]) ).
cnf(c_0_194,plain,
( ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s1,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_192,c_0_24]) ).
cnf(c_0_195,negated_conjecture,
~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s1),
inference(spm,[status(thm)],[c_0_193,c_0_18]) ).
cnf(c_0_196,plain,
( ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s1)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_194,c_0_18]) ).
cnf(c_0_197,negated_conjecture,
~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_195,c_0_15]) ).
cnf(c_0_198,plain,
( ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
inference(spm,[status(thm)],[c_0_196,c_0_15]) ).
cnf(c_0_199,negated_conjecture,
~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_200,negated_conjecture,
~ p(s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_199,c_0_179]) ).
cnf(c_0_201,negated_conjecture,
~ p(s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_200,c_0_154]) ).
cnf(c_0_202,negated_conjecture,
~ p(s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_201,c_0_125]) ).
cnf(c_0_203,negated_conjecture,
~ p(s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_202,c_0_94]) ).
cnf(c_0_204,negated_conjecture,
~ p(s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
inference(spm,[status(thm)],[c_0_203,c_0_63]) ).
cnf(c_0_205,negated_conjecture,
~ p(s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
inference(spm,[status(thm)],[c_0_204,c_0_37]) ).
cnf(c_0_206,negated_conjecture,
~ p(s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
inference(spm,[status(thm)],[c_0_205,c_0_24]) ).
cnf(c_0_207,negated_conjecture,
~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
inference(spm,[status(thm)],[c_0_206,c_0_18]) ).
cnf(c_0_208,axiom,
p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
init ).
cnf(c_0_209,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_15]),c_0_208])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC015-1.010 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n013.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 01:27:21 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.50 Running first-order theorem proving
% 0.25/0.50 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/benchmark/theBenchmark.p
% 0.25/0.55 % Version: 3.5.1
% 0.25/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.55 % Starting sh5l with 300s (1) cores
% 0.25/0.55 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3865713 completed with status 0
% 0.25/0.55 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.25/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.55 % No SInE strategy applied
% 0.25/0.55 % Search class: FHUNF-FFMF00-SFFFFFNN
% 0.25/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.55 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.25/0.55 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.55 % Starting new_bool_1 with 136s (1) cores
% 0.25/0.55 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3865721 completed with status 0
% 0.25/0.55 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.25/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.55 % No SInE strategy applied
% 0.25/0.55 % Search class: FHUNF-FFMF00-SFFFFFNN
% 0.25/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.55 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.25/0.55 % Preprocessing time : 0.002 s
% 0.25/0.55 % Presaturation interreduction done
% 0.25/0.55
% 0.25/0.55 % Proof found!
% 0.25/0.55 % SZS status Unsatisfiable
% 0.25/0.55 % SZS output start CNFRefutation
% See solution above
% 0.25/0.55 % Parsed axioms : 12
% 0.25/0.55 % Removed by relevancy pruning/SinE : 0
% 0.25/0.55 % Initial clauses : 12
% 0.25/0.55 % Removed in clause preprocessing : 0
% 0.25/0.55 % Initial clauses in saturation : 12
% 0.25/0.55 % Processed clauses : 198
% 0.25/0.55 % ...of these trivial : 0
% 0.25/0.55 % ...subsumed : 0
% 0.25/0.55 % ...remaining for further processing : 198
% 0.25/0.55 % Other redundant clauses eliminated : 0
% 0.25/0.55 % Clauses deleted for lack of memory : 0
% 0.25/0.55 % Backward-subsumed : 1
% 0.25/0.55 % Backward-rewritten : 0
% 0.25/0.55 % Generated clauses : 175
% 0.25/0.55 % ...of the previous two non-redundant : 174
% 0.25/0.55 % ...aggressively subsumed : 0
% 0.25/0.55 % Contextual simplify-reflections : 0
% 0.25/0.55 % Paramodulations : 175
% 0.25/0.55 % Factorizations : 0
% 0.25/0.55 % NegExts : 0
% 0.25/0.55 % Equation resolutions : 0
% 0.25/0.55 % Disequality decompositions : 0
% 0.25/0.55 % Total rewrite steps : 1
% 0.25/0.55 % ...of those cached : 0
% 0.25/0.55 % Propositional unsat checks : 0
% 0.25/0.55 % Propositional check models : 0
% 0.25/0.55 % Propositional check unsatisfiable : 0
% 0.25/0.55 % Propositional clauses : 0
% 0.25/0.55 % Propositional clauses after purity: 0
% 0.25/0.55 % Propositional unsat core size : 0
% 0.25/0.55 % Propositional preprocessing time : 0.000
% 0.25/0.55 % Propositional encoding time : 0.000
% 0.25/0.55 % Propositional solver time : 0.000
% 0.25/0.55 % Success case prop preproc time : 0.000
% 0.25/0.55 % Success case prop encoding time : 0.000
% 0.25/0.55 % Success case prop solver time : 0.000
% 0.25/0.55 % Current number of processed clauses : 185
% 0.25/0.55 % Positive orientable unit clauses : 1
% 0.25/0.55 % Positive unorientable unit clauses: 0
% 0.25/0.55 % Negative unit clauses : 55
% 0.25/0.55 % Non-unit-clauses : 129
% 0.25/0.55 % Current number of unprocessed clauses: 0
% 0.25/0.55 % ...number of literals in the above : 0
% 0.25/0.55 % Current number of archived formulas : 0
% 0.25/0.55 % Current number of archived clauses : 13
% 0.25/0.55 % Clause-clause subsumption calls (NU) : 4194
% 0.25/0.55 % Rec. Clause-clause subsumption calls : 4194
% 0.25/0.55 % Non-unit clause-clause subsumptions : 0
% 0.25/0.55 % Unit Clause-clause subsumption calls : 383
% 0.25/0.55 % Rewrite failures with RHS unbound : 0
% 0.25/0.55 % BW rewrite match attempts : 0
% 0.25/0.55 % BW rewrite match successes : 0
% 0.25/0.55 % Condensation attempts : 0
% 0.25/0.55 % Condensation successes : 0
% 0.25/0.55 % Termbank termtop insertions : 4261
% 0.25/0.55 % Search garbage collected termcells : 32
% 0.25/0.55
% 0.25/0.55 % -------------------------------------------------
% 0.25/0.55 % User time : 0.020 s
% 0.25/0.55 % System time : 0.005 s
% 0.25/0.55 % Total time : 0.025 s
% 0.25/0.55 % Maximum resident set size: 3636 pages
% 0.25/0.55
% 0.25/0.55 % -------------------------------------------------
% 0.25/0.55 % User time : 0.107 s
% 0.25/0.55 % System time : 0.019 s
% 0.25/0.55 % Total time : 0.126 s
% 0.25/0.55 % Maximum resident set size: 4864 pages
% 0.25/0.55 % E exiting
%------------------------------------------------------------------------------