TSTP Solution File: SYN549+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 : 600s
% DateTime : Thu Jul 21 06:03:39 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 87 ( 7 unt; 0 def)
% Number of atoms : 410 ( 0 equ)
% Maximal formula atoms : 80 ( 4 avg)
% Number of connectives : 470 ( 147 ~; 291 |; 27 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 95 ( 0 sgn 15 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
? [X1] :
( reachable(initial_world,X1)
& ! [X2] :
( reachable(X1,X2)
=> ( ? [X3] :
( reachable(X2,X3)
& ( p(X3)
| ? [X4] :
( reachable(X3,X4)
& q(X4) ) ) )
<=> ( ? [X5] :
( reachable(X2,X5)
& p(X5) )
| ? [X5] :
( reachable(X2,X5)
& q(X5) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',prove_this) ).
fof(reflexivity_of_reachable,axiom,
! [X1] : reachable(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',reflexivity_of_reachable) ).
fof(transitivity_of_reachable,axiom,
! [X1,X2,X3] :
( ( reachable(X1,X2)
& reachable(X2,X3) )
=> reachable(X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',transitivity_of_reachable) ).
fof(c_0_3,negated_conjecture,
~ ? [X1] :
( reachable(initial_world,X1)
& ! [X2] :
( reachable(X1,X2)
=> ( ? [X3] :
( reachable(X2,X3)
& ( p(X3)
| ? [X4] :
( reachable(X3,X4)
& q(X4) ) ) )
<=> ( ? [X5] :
( reachable(X2,X5)
& p(X5) )
| ? [X5] :
( reachable(X2,X5)
& q(X5) ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_4,negated_conjecture,
! [X6,X8,X9,X10,X11] :
( ( reachable(X6,esk1_1(X6))
| ~ reachable(initial_world,X6) )
& ( ~ reachable(esk1_1(X6),X10)
| ~ p(X10)
| ~ p(X8)
| ~ reachable(esk1_1(X6),X8)
| ~ reachable(initial_world,X6) )
& ( ~ reachable(esk1_1(X6),X11)
| ~ q(X11)
| ~ p(X8)
| ~ reachable(esk1_1(X6),X8)
| ~ reachable(initial_world,X6) )
& ( ~ reachable(esk1_1(X6),X10)
| ~ p(X10)
| ~ reachable(X8,X9)
| ~ q(X9)
| ~ reachable(esk1_1(X6),X8)
| ~ reachable(initial_world,X6) )
& ( ~ reachable(esk1_1(X6),X11)
| ~ q(X11)
| ~ reachable(X8,X9)
| ~ q(X9)
| ~ reachable(esk1_1(X6),X8)
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| reachable(esk1_1(X6),esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| reachable(esk1_1(X6),esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| p(esk4_1(X6))
| reachable(esk1_1(X6),esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| p(esk4_1(X6))
| reachable(esk1_1(X6),esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| reachable(esk2_1(X6),esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| reachable(esk2_1(X6),esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| p(esk4_1(X6))
| reachable(esk2_1(X6),esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| p(esk4_1(X6))
| reachable(esk2_1(X6),esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| q(esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| q(esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| p(esk4_1(X6))
| q(esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| p(esk4_1(X6))
| q(esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).
fof(c_0_5,plain,
! [X2] : reachable(X2,X2),
inference(variable_rename,[status(thm)],[reflexivity_of_reachable]) ).
cnf(c_0_6,negated_conjecture,
( reachable(esk1_1(X1),esk2_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
reachable(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( reachable(esk1_1(X1),esk2_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( reachable(esk1_1(X1),esk2_1(X1))
| p(esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( reachable(esk1_1(X1),esk2_1(X1))
| p(esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ reachable(esk1_1(X1),X2)
| ~ q(X3)
| ~ reachable(X2,X3)
| ~ q(X4)
| ~ reachable(esk1_1(X1),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X2,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_7])]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X2,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_7])]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_7]) ).
fof(c_0_20,plain,
! [X4,X5,X6] :
( ~ reachable(X4,X5)
| ~ reachable(X5,X6)
| reachable(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_reachable])]) ).
cnf(c_0_21,negated_conjecture,
( p(esk2_1(X1))
| reachable(esk2_1(X1),esk3_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ reachable(esk1_1(X1),X2)
| ~ p(X2)
| ~ p(X3)
| ~ reachable(esk1_1(X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,negated_conjecture,
( reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_12]),c_0_13]) ).
cnf(c_0_24,negated_conjecture,
( p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_14]),c_0_15]) ).
cnf(c_0_25,plain,
( reachable(X1,X2)
| ~ reachable(X3,X2)
| ~ reachable(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_21,c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ p(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_7])]),c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(X1,esk3_1(initial_world))
| ~ reachable(X1,esk2_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
reachable(esk1_1(initial_world),esk2_1(initial_world)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( p(esk2_1(X1))
| q(esk3_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ reachable(esk1_1(X1),X2)
| ~ p(X2)
| ~ q(X3)
| ~ reachable(esk1_1(X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_32,negated_conjecture,
( p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( q(esk3_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_30,c_0_7]) ).
cnf(c_0_34,negated_conjecture,
( ~ p(esk2_1(initial_world))
| ~ p(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_29]),c_0_7])]) ).
cnf(c_0_35,negated_conjecture,
( reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ p(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_7])]),c_0_33]),c_0_34]) ).
cnf(c_0_36,negated_conjecture,
( reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_35,c_0_29]) ).
cnf(c_0_37,negated_conjecture,
( reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(X1,esk3_1(initial_world))
| ~ reachable(X1,esk1_1(initial_world)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_32]),c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( p(esk2_1(X1))
| reachable(esk2_1(X1),esk3_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_39,negated_conjecture,
( p(esk2_1(X1))
| reachable(esk2_1(X1),esk3_1(X1))
| p(esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_40,negated_conjecture,
( p(esk2_1(X1))
| reachable(esk2_1(X1),esk3_1(X1))
| p(esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_41,negated_conjecture,
( reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_37,c_0_7]) ).
cnf(c_0_42,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ reachable(esk1_1(X1),X2)
| ~ q(X3)
| ~ reachable(X2,X3)
| ~ p(X4)
| ~ reachable(esk1_1(X1),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_43,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_38,c_0_7]) ).
cnf(c_0_44,negated_conjecture,
( p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_39,c_0_7]) ).
cnf(c_0_45,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_40,c_0_7]) ).
cnf(c_0_46,negated_conjecture,
( reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk3_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_41]),c_0_7])]) ).
cnf(c_0_47,negated_conjecture,
( ~ q(X1)
| ~ p(esk2_1(initial_world))
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_29]),c_0_7])]) ).
cnf(c_0_48,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(X1,esk3_1(initial_world))
| ~ reachable(X1,esk2_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_25,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( p(esk2_1(X1))
| q(esk3_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_50,negated_conjecture,
( p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(X1,esk3_1(initial_world))
| ~ reachable(X1,esk2_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_25,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( p(esk2_1(X1))
| q(esk3_1(X1))
| p(esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_52,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(X1,esk3_1(initial_world))
| ~ reachable(X1,esk2_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_25,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( p(esk2_1(X1))
| q(esk3_1(X1))
| p(esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_54,negated_conjecture,
( reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_48,c_0_29]) ).
cnf(c_0_56,negated_conjecture,
( q(esk3_1(initial_world))
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_49,c_0_7]) ).
cnf(c_0_57,negated_conjecture,
( p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_50,c_0_29]) ).
cnf(c_0_58,negated_conjecture,
( q(esk3_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_51,c_0_7]) ).
cnf(c_0_59,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_52,c_0_29]) ).
cnf(c_0_60,negated_conjecture,
( q(esk3_1(initial_world))
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_53,c_0_7]) ).
cnf(c_0_61,negated_conjecture,
( reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_7]) ).
cnf(c_0_62,negated_conjecture,
( q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_55]),c_0_7])]),c_0_56]),c_0_47]) ).
cnf(c_0_63,negated_conjecture,
( q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ p(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_55]),c_0_7])]),c_0_56]),c_0_34]) ).
cnf(c_0_64,negated_conjecture,
( p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_57]),c_0_7])]),c_0_58]),c_0_47]) ).
cnf(c_0_65,negated_conjecture,
( p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ p(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_57]),c_0_7])]),c_0_58]),c_0_34]) ).
cnf(c_0_66,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_59]),c_0_7])]),c_0_60]),c_0_47]) ).
cnf(c_0_67,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| ~ p(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_59]),c_0_7])]),c_0_60]),c_0_34]) ).
cnf(c_0_68,negated_conjecture,
( reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_61,c_0_41]) ).
cnf(c_0_69,negated_conjecture,
( q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_7]) ).
cnf(c_0_70,negated_conjecture,
( q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_63,c_0_29]) ).
cnf(c_0_71,negated_conjecture,
( p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_7]) ).
cnf(c_0_72,negated_conjecture,
( p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_65,c_0_29]) ).
cnf(c_0_73,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_7]) ).
cnf(c_0_74,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[c_0_67,c_0_29]) ).
cnf(c_0_75,negated_conjecture,
( reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_33]),c_0_36]) ).
cnf(c_0_76,negated_conjecture,
( q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_55]),c_0_56]),c_0_70]) ).
cnf(c_0_77,negated_conjecture,
( p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_57]),c_0_58]),c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_59]),c_0_60]),c_0_74]) ).
cnf(c_0_79,negated_conjecture,
( reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X2,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_75]),c_0_7])]),c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( p(esk4_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X2,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_77]),c_0_7])]),c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_7]) ).
cnf(c_0_82,negated_conjecture,
( p(esk4_1(initial_world))
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_7]) ).
cnf(c_0_83,negated_conjecture,
reachable(esk1_1(initial_world),esk4_1(initial_world)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_75]),c_0_76]) ).
cnf(c_0_84,negated_conjecture,
p(esk4_1(initial_world)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_77]),c_0_78]) ).
cnf(c_0_85,negated_conjecture,
( ~ p(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_83]),c_0_84]),c_0_7])]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_83]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 19:36:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.22/1.41 # Preprocessing time : 0.015 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 87
% 0.22/1.41 # Proof object clause steps : 80
% 0.22/1.41 # Proof object formula steps : 7
% 0.22/1.41 # Proof object conjectures : 81
% 0.22/1.41 # Proof object clause conjectures : 78
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 18
% 0.22/1.41 # Proof object initial formulas used : 3
% 0.22/1.41 # Proof object generating inferences : 62
% 0.22/1.41 # Proof object simplifying inferences : 68
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 3
% 0.22/1.41 # Removed by relevancy pruning/SinE : 0
% 0.22/1.41 # Initial clauses : 19
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 19
% 0.22/1.41 # Processed clauses : 3092
% 0.22/1.41 # ...of these trivial : 0
% 0.22/1.41 # ...subsumed : 742
% 0.22/1.41 # ...remaining for further processing : 2350
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 1198
% 0.22/1.41 # Backward-rewritten : 110
% 0.22/1.41 # Generated clauses : 7603
% 0.22/1.41 # ...of the previous two non-trivial : 7104
% 0.22/1.41 # Contextual simplify-reflections : 1078
% 0.22/1.41 # Paramodulations : 7603
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 1042
% 0.22/1.41 # Positive orientable unit clauses : 133
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 0
% 0.22/1.41 # Non-unit-clauses : 909
% 0.22/1.41 # Current number of unprocessed clauses: 1144
% 0.22/1.41 # ...number of literals in the above : 5612
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 1308
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 498875
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 82921
% 0.22/1.41 # Non-unit clause-clause subsumptions : 3018
% 0.22/1.41 # Unit Clause-clause subsumption calls : 23320
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 3429
% 0.22/1.41 # BW rewrite match successes : 6
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 239423
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.530 s
% 0.22/1.41 # System time : 0.007 s
% 0.22/1.41 # Total time : 0.537 s
% 0.22/1.41 # Maximum resident set size: 8052 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------