%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 03:25:34 PM UTC 2026
% Result : Theorem 139.01s 20.85s
% Output : CNFRefutation 139.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 93
% Number of leaves : 3
% Syntax : Number of formulae : 166 ( 18 unt; 0 def)
% Number of atoms : 512 ( 0 equ)
% Maximal formula atoms : 49 ( 3 avg)
% Number of connectives : 503 ( 157 ~; 319 |; 18 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 142 ( 0 sgn 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ? [X1] :
( ! [X2] :
( reachable(X1,X2)
=> p(X2) )
& reachable(initial_world,X1) )
<=> ? [X1] :
( ! [X2] :
( reachable(X1,X2)
=> ? [X3] :
( ! [X4] :
( reachable(X3,X4)
=> p(X4) )
& reachable(X2,X3) ) )
& reachable(initial_world,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(reflexivity_of_reachable,axiom,
! [X1] : reachable(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_reachable) ).
fof(transitivity_of_reachable,axiom,
! [X1,X2,X3] :
( ( reachable(X2,X3)
& reachable(X1,X2) )
=> reachable(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_reachable) ).
fof(c_0_3,negated_conjecture,
~ ( ? [X1] :
( ! [X2] :
( reachable(X1,X2)
=> p(X2) )
& reachable(initial_world,X1) )
<=> ? [X1] :
( ! [X2] :
( reachable(X1,X2)
=> ? [X3] :
( ! [X4] :
( reachable(X3,X4)
=> p(X4) )
& reachable(X2,X3) ) )
& reachable(initial_world,X1) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_4,negated_conjecture,
! [X9,X11,X13,X16,X18,X20] :
( ( p(X16)
| ~ reachable(esk4_0,X16)
| ~ reachable(esk5_0,X18)
| p(X20)
| ~ reachable(esk6_1(X18),X20) )
& ( p(X16)
| ~ reachable(esk4_0,X16)
| ~ reachable(esk5_0,X18)
| reachable(X18,esk6_1(X18)) )
& ( p(X16)
| ~ reachable(esk4_0,X16)
| reachable(initial_world,esk5_0) )
& ( reachable(initial_world,esk4_0)
| ~ reachable(esk5_0,X18)
| p(X20)
| ~ reachable(esk6_1(X18),X20) )
& ( reachable(initial_world,esk4_0)
| ~ reachable(esk5_0,X18)
| reachable(X18,esk6_1(X18)) )
& ( reachable(initial_world,esk4_0)
| reachable(initial_world,esk5_0) )
& ( ~ reachable(initial_world,X9)
| ~ p(esk1_1(X9))
| ~ reachable(initial_world,X11)
| ~ reachable(esk2_1(X11),X13)
| ~ p(esk3_2(X11,X13)) )
& ( ~ reachable(initial_world,X9)
| ~ p(esk1_1(X9))
| ~ reachable(initial_world,X11)
| ~ reachable(esk2_1(X11),X13)
| reachable(X13,esk3_2(X11,X13)) )
& ( ~ reachable(initial_world,X9)
| ~ p(esk1_1(X9))
| ~ reachable(initial_world,X11)
| reachable(X11,esk2_1(X11)) )
& ( ~ reachable(initial_world,X9)
| reachable(X9,esk1_1(X9))
| ~ reachable(initial_world,X11)
| ~ reachable(esk2_1(X11),X13)
| ~ p(esk3_2(X11,X13)) )
& ( ~ reachable(initial_world,X9)
| reachable(X9,esk1_1(X9))
| ~ reachable(initial_world,X11)
| ~ reachable(esk2_1(X11),X13)
| reachable(X13,esk3_2(X11,X13)) )
& ( ~ reachable(initial_world,X9)
| reachable(X9,esk1_1(X9))
| ~ reachable(initial_world,X11)
| reachable(X11,esk2_1(X11)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
fof(c_0_5,plain,
! [X5] : reachable(X5,X5),
inference(variable_rename,[status(thm)],[reflexivity_of_reachable]) ).
fof(c_0_6,plain,
! [X6,X7,X8] :
( reachable(X6,X8)
| ~ reachable(X7,X8)
| ~ reachable(X6,X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_reachable])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ reachable(esk5_0,X1)
| reachable(initial_world,esk4_0)
| reachable(X1,esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
reachable(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ reachable(X2,X3)
| ~ reachable(X1,X2)
| reachable(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk5_0,esk6_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( ~ reachable(X1,esk5_0)
| reachable(initial_world,esk4_0)
| reachable(X1,esk6_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(initial_world,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ reachable(initial_world,X1)
| reachable(X2,esk1_1(X2))
| reachable(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(initial_world,esk6_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( ~ reachable(esk5_0,X1)
| ~ reachable(esk6_1(X1),X2)
| reachable(initial_world,esk4_0)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(initial_world,esk4_0)
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( ~ reachable(esk6_1(esk5_0),X1)
| reachable(initial_world,esk4_0)
| p(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_8]) ).
cnf(c_0_18,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk5_0,esk2_1(esk5_0))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ p(esk1_1(X2))
| ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk5_0,esk2_1(esk5_0))
| p(esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( ~ reachable(initial_world,X3)
| ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(X3,esk1_1(X3))
| reachable(X1,esk3_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(initial_world,esk4_0)
| reachable(esk5_0,esk2_1(esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_14]) ).
cnf(c_0_23,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(initial_world,esk4_0)
| reachable(X1,esk3_2(X2,X1))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk5_0,esk2_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_12]) ).
cnf(c_0_25,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk6_1(esk5_0),esk6_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_26,negated_conjecture,
( ~ reachable(esk2_1(esk5_0),X1)
| reachable(initial_world,esk4_0)
| reachable(X1,esk3_2(esk5_0,X1))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_12]) ).
cnf(c_0_27,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk2_1(esk5_0),esk6_1(esk2_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_7,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( ~ reachable(X1,esk6_1(esk5_0))
| reachable(initial_world,esk4_0)
| reachable(X1,esk6_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( ~ reachable(esk6_1(esk2_1(esk5_0)),X1)
| reachable(initial_world,esk4_0)
| p(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0)))
| reachable(esk6_1(esk2_1(esk5_0)),esk3_2(esk5_0,esk6_1(esk2_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(initial_world,esk6_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_28,c_0_14]) ).
cnf(c_0_32,negated_conjecture,
( ~ reachable(initial_world,X3)
| ~ reachable(initial_world,X1)
| ~ reachable(esk2_1(X1),X2)
| ~ p(esk3_2(X1,X2))
| reachable(X3,esk1_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_33,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0)))
| p(esk3_2(esk5_0,esk6_1(esk2_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(initial_world,esk4_0)
| reachable(X1,esk3_2(X2,X1))
| reachable(esk6_1(esk6_1(esk5_0)),esk1_1(esk6_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_21,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk1_1(X1))
| reachable(initial_world,esk4_0)
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_12]),c_0_27]) ).
cnf(c_0_36,negated_conjecture,
( ~ reachable(esk2_1(esk5_0),X1)
| reachable(initial_world,esk4_0)
| reachable(X1,esk3_2(esk5_0,X1))
| reachable(esk6_1(esk6_1(esk5_0)),esk1_1(esk6_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_34,c_0_12]) ).
cnf(c_0_37,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_38,negated_conjecture,
( ~ reachable(esk6_1(esk6_1(esk5_0)),X1)
| reachable(initial_world,esk4_0)
| p(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_39,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk6_1(esk6_1(esk5_0)),esk1_1(esk6_1(esk6_1(esk5_0))))
| reachable(esk6_1(esk2_1(esk5_0)),esk3_2(esk5_0,esk6_1(esk2_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_36,c_0_27]) ).
cnf(c_0_40,negated_conjecture,
( ~ reachable(initial_world,X3)
| ~ p(esk1_1(X3))
| ~ reachable(initial_world,X1)
| ~ reachable(esk2_1(X1),X2)
| ~ p(esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_41,negated_conjecture,
( reachable(initial_world,esk4_0)
| p(esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_17,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk6_1(esk2_1(esk5_0)),esk3_2(esk5_0,esk6_1(esk2_1(esk5_0))))
| p(esk1_1(esk6_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ reachable(esk2_1(X1),X2)
| ~ p(esk3_2(X1,X2))
| reachable(initial_world,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_14]) ).
cnf(c_0_44,negated_conjecture,
( reachable(initial_world,esk4_0)
| p(esk1_1(esk6_1(esk6_1(esk5_0))))
| p(esk3_2(esk5_0,esk6_1(esk2_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_29,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( ~ reachable(initial_world,X3)
| ~ p(esk1_1(X3))
| ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(X1,esk3_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_46,negated_conjecture,
( reachable(initial_world,esk4_0)
| p(esk1_1(esk6_1(esk6_1(esk5_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_12]),c_0_27]) ).
cnf(c_0_47,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(initial_world,esk4_0)
| reachable(X1,esk3_2(X2,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_31]) ).
cnf(c_0_48,negated_conjecture,
( ~ reachable(esk2_1(esk5_0),X1)
| reachable(initial_world,esk4_0)
| reachable(X1,esk3_2(esk5_0,X1)) ),
inference(spm,[status(thm)],[c_0_47,c_0_12]) ).
cnf(c_0_49,negated_conjecture,
( reachable(initial_world,esk4_0)
| reachable(esk6_1(esk2_1(esk5_0)),esk3_2(esk5_0,esk6_1(esk2_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_50,negated_conjecture,
( reachable(initial_world,esk4_0)
| p(esk3_2(esk5_0,esk6_1(esk2_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_29,c_0_49]) ).
cnf(c_0_51,negated_conjecture,
reachable(initial_world,esk4_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_50]),c_0_12]),c_0_27]) ).
cnf(c_0_52,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(X1,esk3_2(X2,X1))
| reachable(esk4_0,esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_51]) ).
cnf(c_0_53,negated_conjecture,
( ~ reachable(esk2_1(esk4_0),X1)
| reachable(esk4_0,esk1_1(esk4_0))
| reachable(X1,esk3_2(esk4_0,X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| reachable(esk2_1(esk4_0),esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_53,c_0_8]) ).
cnf(c_0_55,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(esk4_0,esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( ~ reachable(X1,esk2_1(esk4_0))
| reachable(esk4_0,esk1_1(esk4_0))
| reachable(X1,esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| reachable(esk4_0,esk2_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( ~ reachable(esk4_0,X1)
| p(X1)
| reachable(initial_world,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_59,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| reachable(esk4_0,esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( reachable(initial_world,esk5_0)
| reachable(esk4_0,esk1_1(esk4_0))
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_61,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk1_1(X1))
| reachable(initial_world,esk5_0)
| reachable(esk4_0,esk1_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_60]),c_0_8]),c_0_51])]) ).
cnf(c_0_62,negated_conjecture,
( reachable(initial_world,esk5_0)
| reachable(esk4_0,esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_51]) ).
cnf(c_0_63,negated_conjecture,
( reachable(initial_world,esk5_0)
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_62]) ).
cnf(c_0_64,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(initial_world,esk5_0)
| reachable(X1,esk3_2(X2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_63]),c_0_51])]) ).
cnf(c_0_65,negated_conjecture,
( ~ reachable(esk4_0,X2)
| ~ reachable(esk5_0,X1)
| p(X2)
| reachable(X1,esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_66,negated_conjecture,
( ~ reachable(esk2_1(esk4_0),X1)
| reachable(initial_world,esk5_0)
| reachable(X1,esk3_2(esk4_0,X1)) ),
inference(spm,[status(thm)],[c_0_64,c_0_51]) ).
cnf(c_0_67,negated_conjecture,
( ~ reachable(esk5_0,X1)
| reachable(X1,esk6_1(X1))
| reachable(esk4_0,esk1_1(esk4_0))
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( reachable(initial_world,esk5_0)
| reachable(esk2_1(esk4_0),esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_66,c_0_8]) ).
cnf(c_0_69,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(initial_world,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_63]),c_0_51])]) ).
cnf(c_0_70,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| reachable(esk5_0,esk6_1(esk5_0))
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_67,c_0_8]) ).
cnf(c_0_71,negated_conjecture,
( ~ reachable(X1,esk2_1(esk4_0))
| reachable(initial_world,esk5_0)
| reachable(X1,esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
( reachable(initial_world,esk5_0)
| reachable(esk4_0,esk2_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_51]) ).
cnf(c_0_73,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk1_1(X1))
| reachable(esk5_0,esk6_1(esk5_0))
| reachable(esk4_0,esk1_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_70]),c_0_8]),c_0_51])]) ).
cnf(c_0_74,negated_conjecture,
( reachable(initial_world,esk5_0)
| reachable(esk4_0,esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| reachable(esk5_0,esk6_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_51]) ).
cnf(c_0_76,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ reachable(esk2_1(X1),X2)
| ~ p(esk3_2(X1,X2))
| reachable(initial_world,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_63]),c_0_51])]) ).
cnf(c_0_77,negated_conjecture,
( reachable(initial_world,esk5_0)
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_58,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
( ~ reachable(X1,esk5_0)
| reachable(X1,esk6_1(esk5_0))
| reachable(esk4_0,esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_75]) ).
cnf(c_0_79,negated_conjecture,
reachable(initial_world,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_8]),c_0_51])]) ).
cnf(c_0_80,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| reachable(initial_world,esk6_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_81,negated_conjecture,
( ~ reachable(esk2_1(esk6_1(esk5_0)),X1)
| reachable(esk4_0,esk1_1(esk4_0))
| reachable(X1,esk3_2(esk6_1(esk5_0),X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_80]) ).
cnf(c_0_82,negated_conjecture,
( ~ reachable(esk4_0,X3)
| ~ reachable(esk5_0,X1)
| ~ reachable(esk6_1(X1),X2)
| p(X3)
| p(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_83,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| reachable(esk2_1(esk6_1(esk5_0)),esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_81,c_0_8]) ).
cnf(c_0_84,negated_conjecture,
( ~ reachable(esk5_0,X2)
| ~ reachable(esk6_1(X2),X1)
| reachable(esk4_0,esk1_1(esk4_0))
| p(X1)
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_82,c_0_59]) ).
cnf(c_0_85,negated_conjecture,
( ~ reachable(X1,esk2_1(esk6_1(esk5_0)))
| reachable(esk4_0,esk1_1(esk4_0))
| reachable(X1,esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_83]) ).
cnf(c_0_86,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| reachable(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_55,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
( ~ reachable(esk6_1(esk5_0),X1)
| reachable(esk4_0,esk1_1(esk4_0))
| p(X1)
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_84,c_0_8]) ).
cnf(c_0_88,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| reachable(esk6_1(esk5_0),esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| p(esk3_2(esk4_0,esk2_1(esk4_0)))
| p(esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_90,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk1_1(X1))
| reachable(esk4_0,esk1_1(esk4_0))
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_89]),c_0_8])]),c_0_80]) ).
cnf(c_0_91,negated_conjecture,
( reachable(esk4_0,esk1_1(esk4_0))
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_90,c_0_51]) ).
cnf(c_0_92,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk1_1(X1))
| reachable(esk4_0,esk1_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_91]),c_0_8]),c_0_51])]) ).
cnf(c_0_93,negated_conjecture,
reachable(esk4_0,esk1_1(esk4_0)),
inference(spm,[status(thm)],[c_0_92,c_0_51]) ).
cnf(c_0_94,negated_conjecture,
( ~ reachable(esk5_0,X1)
| reachable(X1,esk6_1(X1))
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_93]) ).
cnf(c_0_95,negated_conjecture,
( reachable(esk5_0,esk6_1(esk5_0))
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_8]) ).
cnf(c_0_96,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(esk5_0,esk6_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_95]),c_0_51])]) ).
cnf(c_0_97,negated_conjecture,
( reachable(esk5_0,esk6_1(esk5_0))
| reachable(esk4_0,esk2_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_96,c_0_51]) ).
cnf(c_0_98,negated_conjecture,
( ~ reachable(X1,esk5_0)
| reachable(X1,esk6_1(esk5_0))
| reachable(esk4_0,esk2_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_97]) ).
cnf(c_0_99,negated_conjecture,
( reachable(esk4_0,esk2_1(esk4_0))
| reachable(initial_world,esk6_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_98,c_0_79]) ).
cnf(c_0_100,negated_conjecture,
( ~ reachable(esk5_0,X2)
| ~ reachable(esk6_1(X2),X1)
| p(X1)
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_82,c_0_93]) ).
cnf(c_0_101,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(esk4_0,esk2_1(esk4_0))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
( ~ reachable(esk6_1(esk5_0),X1)
| p(X1)
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_100,c_0_8]) ).
cnf(c_0_103,negated_conjecture,
( reachable(esk4_0,esk2_1(esk4_0))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_101,c_0_51]) ).
cnf(c_0_104,negated_conjecture,
( reachable(esk4_0,esk2_1(esk4_0))
| p(esk1_1(esk4_0))
| p(esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_105,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(X1,esk3_2(X2,X1))
| reachable(esk5_0,esk6_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_95]),c_0_51])]) ).
cnf(c_0_106,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(esk4_0,esk2_1(esk4_0))
| p(esk1_1(esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_104]),c_0_99]) ).
cnf(c_0_107,negated_conjecture,
( ~ reachable(esk2_1(esk4_0),X1)
| reachable(esk5_0,esk6_1(esk5_0))
| reachable(X1,esk3_2(esk4_0,X1)) ),
inference(spm,[status(thm)],[c_0_105,c_0_51]) ).
cnf(c_0_108,negated_conjecture,
( reachable(esk4_0,esk2_1(esk4_0))
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_106,c_0_51]) ).
cnf(c_0_109,negated_conjecture,
( reachable(esk5_0,esk6_1(esk5_0))
| reachable(esk2_1(esk4_0),esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_107,c_0_8]) ).
cnf(c_0_110,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(esk4_0,esk2_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_108]),c_0_51])]) ).
cnf(c_0_111,negated_conjecture,
( ~ reachable(X1,esk2_1(esk4_0))
| reachable(esk5_0,esk6_1(esk5_0))
| reachable(X1,esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
reachable(esk4_0,esk2_1(esk4_0)),
inference(spm,[status(thm)],[c_0_110,c_0_51]) ).
cnf(c_0_113,negated_conjecture,
( reachable(esk5_0,esk6_1(esk5_0))
| reachable(esk4_0,esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_114,negated_conjecture,
( ~ reachable(esk5_0,X1)
| reachable(X1,esk6_1(X1))
| reachable(esk5_0,esk6_1(esk5_0))
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_65,c_0_113]) ).
cnf(c_0_115,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ reachable(esk2_1(X1),X2)
| ~ p(esk3_2(X1,X2))
| reachable(esk5_0,esk6_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_95]),c_0_51])]) ).
cnf(c_0_116,negated_conjecture,
( reachable(esk5_0,esk6_1(esk5_0))
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_114,c_0_8]) ).
cnf(c_0_117,negated_conjecture,
reachable(esk5_0,esk6_1(esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_8]),c_0_51])]) ).
cnf(c_0_118,negated_conjecture,
( ~ reachable(X1,esk5_0)
| reachable(X1,esk6_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_117]) ).
cnf(c_0_119,negated_conjecture,
reachable(initial_world,esk6_1(esk5_0)),
inference(spm,[status(thm)],[c_0_118,c_0_79]) ).
cnf(c_0_120,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(X1,esk3_2(X2,X1))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_21,c_0_119]) ).
cnf(c_0_121,negated_conjecture,
( reachable(esk5_0,esk6_1(esk5_0))
| reachable(esk5_0,esk2_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_96,c_0_79]) ).
cnf(c_0_122,negated_conjecture,
( ~ reachable(esk2_1(esk6_1(esk5_0)),X1)
| reachable(X1,esk3_2(esk6_1(esk5_0),X1))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_120,c_0_119]) ).
cnf(c_0_123,negated_conjecture,
( ~ reachable(X1,esk5_0)
| reachable(X1,esk6_1(esk5_0))
| reachable(esk5_0,esk2_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_121]) ).
cnf(c_0_124,negated_conjecture,
( reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0)))
| reachable(esk2_1(esk6_1(esk5_0)),esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_122,c_0_8]) ).
cnf(c_0_125,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_119]) ).
cnf(c_0_126,negated_conjecture,
( reachable(esk5_0,esk2_1(esk5_0))
| reachable(initial_world,esk6_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_123,c_0_79]) ).
cnf(c_0_127,negated_conjecture,
( ~ reachable(X1,esk2_1(esk6_1(esk5_0)))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0)))
| reachable(X1,esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_124]) ).
cnf(c_0_128,negated_conjecture,
( reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0)))
| reachable(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_125,c_0_119]) ).
cnf(c_0_129,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(esk5_0,esk2_1(esk5_0))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
( reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0)))
| reachable(esk6_1(esk5_0),esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_131,negated_conjecture,
( reachable(esk5_0,esk2_1(esk5_0))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_129,c_0_79]) ).
cnf(c_0_132,negated_conjecture,
( reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0)))
| p(esk1_1(esk4_0))
| p(esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_130]) ).
cnf(c_0_133,negated_conjecture,
( reachable(esk5_0,esk2_1(esk5_0))
| p(esk1_1(esk4_0))
| p(esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_102,c_0_131]) ).
cnf(c_0_134,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk1_1(X1))
| reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0)))
| p(esk1_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_132]),c_0_8]),c_0_119])]) ).
cnf(c_0_135,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(esk5_0,esk2_1(esk5_0))
| p(esk1_1(esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_133]),c_0_126]) ).
cnf(c_0_136,negated_conjecture,
( reachable(esk6_1(esk5_0),esk1_1(esk6_1(esk5_0)))
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_134,c_0_119]) ).
cnf(c_0_137,negated_conjecture,
( reachable(esk5_0,esk2_1(esk5_0))
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_135,c_0_79]) ).
cnf(c_0_138,negated_conjecture,
( p(esk1_1(esk4_0))
| p(esk1_1(esk6_1(esk5_0))) ),
inference(spm,[status(thm)],[c_0_102,c_0_136]) ).
cnf(c_0_139,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1))
| reachable(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_137]),c_0_51])]) ).
cnf(c_0_140,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(X1,esk3_2(X2,X1))
| p(esk1_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_138]),c_0_119])]) ).
cnf(c_0_141,negated_conjecture,
reachable(esk5_0,esk2_1(esk5_0)),
inference(spm,[status(thm)],[c_0_139,c_0_79]) ).
cnf(c_0_142,negated_conjecture,
( ~ reachable(esk2_1(esk5_0),X1)
| reachable(X1,esk3_2(esk5_0,X1))
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_140,c_0_79]) ).
cnf(c_0_143,negated_conjecture,
( reachable(esk2_1(esk5_0),esk6_1(esk2_1(esk5_0)))
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_141]) ).
cnf(c_0_144,negated_conjecture,
( ~ reachable(esk6_1(esk2_1(esk5_0)),X1)
| p(X1)
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_100,c_0_141]) ).
cnf(c_0_145,negated_conjecture,
( reachable(esk6_1(esk2_1(esk5_0)),esk3_2(esk5_0,esk6_1(esk2_1(esk5_0))))
| p(esk1_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ reachable(esk2_1(X1),X2)
| ~ p(esk3_2(X1,X2))
| p(esk1_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_138]),c_0_119])]) ).
cnf(c_0_147,negated_conjecture,
( p(esk1_1(esk4_0))
| p(esk3_2(esk5_0,esk6_1(esk2_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,negated_conjecture,
p(esk1_1(esk4_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_79])]),c_0_143]) ).
cnf(c_0_149,negated_conjecture,
( ~ reachable(initial_world,X2)
| ~ reachable(esk2_1(X2),X1)
| reachable(X1,esk3_2(X2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_148]),c_0_51])]) ).
cnf(c_0_150,negated_conjecture,
( ~ reachable(esk2_1(esk4_0),X1)
| reachable(X1,esk3_2(esk4_0,X1)) ),
inference(spm,[status(thm)],[c_0_149,c_0_51]) ).
cnf(c_0_151,negated_conjecture,
reachable(esk2_1(esk4_0),esk3_2(esk4_0,esk2_1(esk4_0))),
inference(spm,[status(thm)],[c_0_150,c_0_8]) ).
cnf(c_0_152,negated_conjecture,
( ~ reachable(X1,esk2_1(esk4_0))
| reachable(X1,esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_151]) ).
cnf(c_0_153,negated_conjecture,
( ~ reachable(esk2_1(esk6_1(esk5_0)),X1)
| reachable(X1,esk3_2(esk6_1(esk5_0),X1)) ),
inference(spm,[status(thm)],[c_0_149,c_0_119]) ).
cnf(c_0_154,negated_conjecture,
reachable(esk4_0,esk3_2(esk4_0,esk2_1(esk4_0))),
inference(spm,[status(thm)],[c_0_152,c_0_112]) ).
cnf(c_0_155,negated_conjecture,
reachable(esk2_1(esk6_1(esk5_0)),esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))),
inference(spm,[status(thm)],[c_0_153,c_0_8]) ).
cnf(c_0_156,negated_conjecture,
( ~ reachable(initial_world,X1)
| reachable(X1,esk2_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_148]),c_0_51])]) ).
cnf(c_0_157,negated_conjecture,
( ~ reachable(esk5_0,X2)
| ~ reachable(esk6_1(X2),X1)
| p(X1)
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_82,c_0_154]) ).
cnf(c_0_158,negated_conjecture,
( ~ reachable(X1,esk2_1(esk6_1(esk5_0)))
| reachable(X1,esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_155]) ).
cnf(c_0_159,negated_conjecture,
reachable(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0))),
inference(spm,[status(thm)],[c_0_156,c_0_119]) ).
cnf(c_0_160,negated_conjecture,
( ~ reachable(esk6_1(esk5_0),X1)
| p(X1)
| p(esk3_2(esk4_0,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_157,c_0_8]) ).
cnf(c_0_161,negated_conjecture,
reachable(esk6_1(esk5_0),esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_162,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ reachable(esk2_1(X1),X2)
| ~ p(esk3_2(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_148]),c_0_51])]) ).
cnf(c_0_163,negated_conjecture,
( p(esk3_2(esk4_0,esk2_1(esk4_0)))
| p(esk3_2(esk6_1(esk5_0),esk2_1(esk6_1(esk5_0)))) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_164,negated_conjecture,
p(esk3_2(esk4_0,esk2_1(esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_8]),c_0_119])]) ).
cnf(c_0_165,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_164]),c_0_8]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.59 % Computer : n009.cluster.edu
% 0.12/0.59 % Model : x86_64 x86_64
% 0.12/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.59 % Memory : 8046.5625MB
% 0.12/0.59 % OS : Linux 6.8.0-71-generic
% 0.12/0.60 % CPULimit : 300
% 0.12/0.60 % WCLimit : 300
% 0.12/0.60 % DateTime : Mon Sep 21 11:08:29 UTC 2026
% 0.12/0.60 % CPUTime :
% 0.12/0.60 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.64 Running first-order theorem proving
% 0.17/0.64 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
% 139.01/20.85 % Version: 3.5.1
% 139.01/20.85 % Preprocessing class: FSSSSMSSSSSNFFN.
% 139.01/20.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 139.01/20.85 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 139.01/20.85 % Starting new_bool_3 with 300s (1) cores
% 139.01/20.85 % Starting new_bool_1 with 300s (1) cores
% 139.01/20.85 % Starting sh5l with 300s (1) cores
% 139.01/20.85 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1594830 completed with status 0
% 139.01/20.85 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 139.01/20.85 % Preprocessing class: FSSSSMSSSSSNFFN.
% 139.01/20.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 139.01/20.85 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 139.01/20.85 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 139.01/20.85 % No SInE strategy applied
% 139.01/20.85 % Search class: FGHNF-FFSF21-SFFFFFNN
% 139.01/20.85 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 139.01/20.85 % Starting SubtermCWHack with 136s (1) cores
% 139.01/20.85 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 139.01/20.85 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 136s (1) cores
% 139.01/20.85 % Starting new_bool_3 with 136s (1) cores
% 139.01/20.85 % Starting new_bool_1 with 136s (1) cores
% 139.01/20.85 % new_bool_3 with pid 1594840 completed with status 0
% 139.01/20.85 % Result found by new_bool_3
% 139.01/20.85 % Preprocessing class: FSSSSMSSSSSNFFN.
% 139.01/20.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 139.01/20.85 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 139.01/20.85 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 139.01/20.85 % No SInE strategy applied
% 139.01/20.85 % Search class: FGHNF-FFSF21-SFFFFFNN
% 139.01/20.85 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 139.01/20.85 % Starting SubtermCWHack with 136s (1) cores
% 139.01/20.85 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 139.01/20.85 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 136s (1) cores
% 139.01/20.85 % Starting new_bool_3 with 136s (1) cores
% 139.01/20.85 % Preprocessing time : 0.001 s
% 139.01/20.85 % Presaturation interreduction done
% 139.01/20.85
% 139.01/20.85 % Proof found!
% 139.01/20.85 % SZS status Theorem
% 139.01/20.85 % SZS output start CNFRefutation
% See solution above
% 139.01/20.85 % Parsed axioms : 3
% 139.01/20.85 % Removed by relevancy pruning/SinE : 0
% 139.01/20.85 % Initial clauses : 14
% 139.01/20.85 % Removed in clause preprocessing : 0
% 139.01/20.85 % Initial clauses in saturation : 14
% 139.01/20.85 % Processed clauses : 47337
% 139.01/20.85 % ...of these trivial : 34
% 139.01/20.85 % ...subsumed : 24730
% 139.01/20.85 % ...remaining for further processing : 22573
% 139.01/20.85 % Other redundant clauses eliminated : 0
% 139.01/20.85 % Clauses deleted for lack of memory : 0
% 139.01/20.85 % Backward-subsumed : 14029
% 139.01/20.85 % Backward-rewritten : 7872
% 139.01/20.85 % Generated clauses : 507749
% 139.01/20.85 % ...of the previous two non-redundant : 506107
% 139.01/20.85 % ...aggressively subsumed : 0
% 139.01/20.85 % Contextual simplify-reflections : 382
% 139.01/20.85 % Paramodulations : 507749
% 139.01/20.85 % Factorizations : 0
% 139.01/20.85 % NegExts : 0
% 139.01/20.85 % Equation resolutions : 0
% 139.01/20.85 % Disequality decompositions : 0
% 139.01/20.85 % Total rewrite steps : 23257
% 139.01/20.85 % ...of those cached : 23106
% 139.01/20.85 % Propositional unsat checks : 4
% 139.01/20.85 % Propositional check models : 4
% 139.01/20.85 % Propositional check unsatisfiable : 0
% 139.01/20.85 % Propositional clauses : 0
% 139.01/20.85 % Propositional clauses after purity: 0
% 139.01/20.85 % Propositional unsat core size : 0
% 139.01/20.85 % Propositional preprocessing time : 0.000
% 139.01/20.85 % Propositional encoding time : 0.186
% 139.01/20.85 % Propositional solver time : 0.025
% 139.01/20.85 % Success case prop preproc time : 0.000
% 139.01/20.85 % Success case prop encoding time : 0.000
% 139.01/20.85 % Success case prop solver time : 0.000
% 139.01/20.85 % Current number of processed clauses : 658
% 139.01/20.85 % Positive orientable unit clauses : 153
% 139.01/20.85 % Positive unorientable unit clauses: 0
% 139.01/20.85 % Negative unit clauses : 0
% 139.01/20.85 % Non-unit-clauses : 505
% 139.01/20.85 % Current number of unprocessed clauses: 247501
% 139.01/20.85 % ...number of literals in the above : 1083996
% 139.01/20.85 % Current number of archived formulas : 0
% 139.01/20.85 % Current number of archived clauses : 21915
% 139.01/20.85 % Clause-clause subsumption calls (NU) : 20720827
% 139.01/20.85 % Rec. Clause-clause subsumption calls : 4938131
% 139.01/20.85 % Non-unit clause-clause subsumptions : 38602
% 139.01/20.85 % Unit Clause-clause subsumption calls : 71970
% 139.01/20.85 % Rewrite failures with RHS unbound : 0
% 139.01/20.85 % BW rewrite match attempts : 444
% 139.01/20.85 % BW rewrite match successes : 82
% 139.01/20.85 % Condensation attempts : 0
% 139.01/20.85 % Condensation successes : 0
% 139.01/20.85 % Termbank termtop insertions : 12686911
% 139.01/20.85 % Search garbage collected termcells : 291
% 139.01/20.85
% 139.01/20.85 % -------------------------------------------------
% 139.01/20.85 % User time : 19.525 s
% 139.01/20.85 % System time : 0.299 s
% 139.01/20.85 % Total time : 19.825 s
% 139.01/20.85 % Maximum resident set size: 3628 pages
% 139.01/20.85
% 139.01/20.85 % -------------------------------------------------
% 139.01/20.85 % User time : 97.296 s
% 139.01/20.85 % System time : 1.660 s
% 139.01/20.85 % Total time : 98.956 s
% 139.01/20.85 % Maximum resident set size: 4608 pages
% 139.01/20.85 % E exiting
%------------------------------------------------------------------------------