%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : MGT114+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:28:12 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 31 unt; 0 def)
% Number of atoms : 408 ( 53 equ)
% Maximal formula atoms : 216 ( 6 avg)
% Number of connectives : 582 ( 234 ~; 271 |; 63 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 79 ( 4 sgn 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax_correlativity_permission,axiom,
! [X1,X2,X3] :
( odrl_rel(X1)
=> ( ? [X4] :
( ! [X5] :
( ( cnt(X5,X2,X3)
& part_of(X5,X1)
& permission(X5) )
=> X5 = X4 )
& cnt(X4,X2,X3)
& part_of(X4,X1)
& permission(X4) )
<=> ? [X6] :
( ! [X7] :
( ( cnt(X7,X2,X3)
& part_of(X7,X1)
& no_right(X7) )
=> X7 = X6 )
& cnt(X6,X2,X3)
& part_of(X6,X1)
& no_right(X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_correlativity_permission) ).
fof(odrl_rho1,axiom,
odrl_rel(rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl_rho1) ).
fof(cnt_l,axiom,
cnt(l,some_action,some_target),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_l) ).
fof(partof_l,axiom,
part_of(l,rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_l) ).
fof(permission_l,axiom,
permission(l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permission_l) ).
fof(perm_l_unique,axiom,
! [X5] :
( ( cnt(X5,some_action,some_target)
& part_of(X5,rho1)
& permission(X5) )
=> X5 = l ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',perm_l_unique) ).
fof(cnt_n2,axiom,
cnt(n2,some_action,some_target),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_n2) ).
fof(no_right_n2,axiom,
no_right(n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_right_n2) ).
fof(partof_n2,axiom,
part_of(n2,rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_n2) ).
fof(n1_neq_n2,axiom,
n1 != n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n1_neq_n2) ).
fof(cnt_n1,axiom,
cnt(n1,some_action,some_target),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_n1) ).
fof(no_right_n1,axiom,
no_right(n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_right_n1) ).
fof(partof_n1,axiom,
part_of(n1,rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_n1) ).
fof(c_0_13,plain,
! [X1,X2,X3] :
( epred1_3(X3,X2,X1)
<=> ( ? [X4] :
( ! [X5] :
( ( cnt(X5,X2,X3)
& part_of(X5,X1)
& permission(X5) )
=> X5 = X4 )
& cnt(X4,X2,X3)
& part_of(X4,X1)
& permission(X4) )
<=> ? [X6] :
( ! [X7] :
( ( cnt(X7,X2,X3)
& part_of(X7,X1)
& no_right(X7) )
=> X7 = X6 )
& cnt(X6,X2,X3)
& part_of(X6,X1)
& no_right(X6) ) ) ),
introduced(definition) ).
fof(c_0_14,axiom,
! [X1,X2,X3] :
( odrl_rel(X1)
=> epred1_3(X3,X2,X1) ),
inference(apply_def,[status(thm)],[ax_correlativity_permission,c_0_13]) ).
fof(c_0_15,plain,
! [X1,X2,X3] :
( epred1_3(X3,X2,X1)
=> ( ? [X4] :
( ! [X5] :
( ( cnt(X5,X2,X3)
& part_of(X5,X1)
& permission(X5) )
=> X5 = X4 )
& cnt(X4,X2,X3)
& part_of(X4,X1)
& permission(X4) )
<=> ? [X6] :
( ! [X7] :
( ( cnt(X7,X2,X3)
& part_of(X7,X1)
& no_right(X7) )
=> X7 = X6 )
& cnt(X6,X2,X3)
& part_of(X6,X1)
& no_right(X6) ) ) ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X8,X9,X10] :
( epred1_3(X10,X9,X8)
| ~ odrl_rel(X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_17,plain,
! [X12,X13,X14,X15,X18,X19,X22] :
( ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| esk3_4(X12,X13,X14,X19) != X19
| X22 = esk4_3(X12,X13,X14)
| ~ cnt(X22,X13,X14)
| ~ part_of(X22,X12)
| ~ permission(X22) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| esk3_4(X12,X13,X14,X19) != X19
| cnt(esk4_3(X12,X13,X14),X13,X14) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| esk3_4(X12,X13,X14,X19) != X19
| part_of(esk4_3(X12,X13,X14),X12) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| esk3_4(X12,X13,X14,X19) != X19
| permission(esk4_3(X12,X13,X14)) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| cnt(esk3_4(X12,X13,X14,X19),X13,X14)
| X22 = esk4_3(X12,X13,X14)
| ~ cnt(X22,X13,X14)
| ~ part_of(X22,X12)
| ~ permission(X22) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| cnt(esk3_4(X12,X13,X14,X19),X13,X14)
| cnt(esk4_3(X12,X13,X14),X13,X14) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| cnt(esk3_4(X12,X13,X14,X19),X13,X14)
| part_of(esk4_3(X12,X13,X14),X12) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| cnt(esk3_4(X12,X13,X14,X19),X13,X14)
| permission(esk4_3(X12,X13,X14)) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| part_of(esk3_4(X12,X13,X14,X19),X12)
| X22 = esk4_3(X12,X13,X14)
| ~ cnt(X22,X13,X14)
| ~ part_of(X22,X12)
| ~ permission(X22) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| part_of(esk3_4(X12,X13,X14,X19),X12)
| cnt(esk4_3(X12,X13,X14),X13,X14) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| part_of(esk3_4(X12,X13,X14,X19),X12)
| part_of(esk4_3(X12,X13,X14),X12) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| part_of(esk3_4(X12,X13,X14,X19),X12)
| permission(esk4_3(X12,X13,X14)) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| no_right(esk3_4(X12,X13,X14,X19))
| X22 = esk4_3(X12,X13,X14)
| ~ cnt(X22,X13,X14)
| ~ part_of(X22,X12)
| ~ permission(X22) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| no_right(esk3_4(X12,X13,X14,X19))
| cnt(esk4_3(X12,X13,X14),X13,X14) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| no_right(esk3_4(X12,X13,X14,X19))
| part_of(esk4_3(X12,X13,X14),X12) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X19,X13,X14)
| ~ part_of(X19,X12)
| ~ no_right(X19)
| no_right(esk3_4(X12,X13,X14,X19))
| permission(esk4_3(X12,X13,X14)) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| esk1_4(X12,X13,X14,X15) != X15
| X18 = esk2_3(X12,X13,X14)
| ~ cnt(X18,X13,X14)
| ~ part_of(X18,X12)
| ~ no_right(X18) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| esk1_4(X12,X13,X14,X15) != X15
| cnt(esk2_3(X12,X13,X14),X13,X14) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| esk1_4(X12,X13,X14,X15) != X15
| part_of(esk2_3(X12,X13,X14),X12) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| esk1_4(X12,X13,X14,X15) != X15
| no_right(esk2_3(X12,X13,X14)) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| cnt(esk1_4(X12,X13,X14,X15),X13,X14)
| X18 = esk2_3(X12,X13,X14)
| ~ cnt(X18,X13,X14)
| ~ part_of(X18,X12)
| ~ no_right(X18) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| cnt(esk1_4(X12,X13,X14,X15),X13,X14)
| cnt(esk2_3(X12,X13,X14),X13,X14) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| cnt(esk1_4(X12,X13,X14,X15),X13,X14)
| part_of(esk2_3(X12,X13,X14),X12) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| cnt(esk1_4(X12,X13,X14,X15),X13,X14)
| no_right(esk2_3(X12,X13,X14)) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| part_of(esk1_4(X12,X13,X14,X15),X12)
| X18 = esk2_3(X12,X13,X14)
| ~ cnt(X18,X13,X14)
| ~ part_of(X18,X12)
| ~ no_right(X18) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| part_of(esk1_4(X12,X13,X14,X15),X12)
| cnt(esk2_3(X12,X13,X14),X13,X14) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| part_of(esk1_4(X12,X13,X14,X15),X12)
| part_of(esk2_3(X12,X13,X14),X12) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| part_of(esk1_4(X12,X13,X14,X15),X12)
| no_right(esk2_3(X12,X13,X14)) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| permission(esk1_4(X12,X13,X14,X15))
| X18 = esk2_3(X12,X13,X14)
| ~ cnt(X18,X13,X14)
| ~ part_of(X18,X12)
| ~ no_right(X18) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| permission(esk1_4(X12,X13,X14,X15))
| cnt(esk2_3(X12,X13,X14),X13,X14) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| permission(esk1_4(X12,X13,X14,X15))
| part_of(esk2_3(X12,X13,X14),X12) )
& ( ~ epred1_3(X14,X13,X12)
| ~ cnt(X15,X13,X14)
| ~ part_of(X15,X12)
| ~ permission(X15)
| permission(esk1_4(X12,X13,X14,X15))
| no_right(esk2_3(X12,X13,X14)) ) ),
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_15])])])])])]) ).
cnf(c_0_18,plain,
( ~ odrl_rel(X1)
| epred1_3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
odrl_rel(rho1),
inference(split_conjunct,[status(thm)],[odrl_rho1]) ).
cnf(c_0_20,plain,
( ~ epred1_3(X4,X3,X2)
| ~ cnt(X5,X3,X4)
| ~ part_of(X5,X2)
| ~ permission(X5)
| ~ cnt(X1,X3,X4)
| ~ part_of(X1,X2)
| ~ no_right(X1)
| permission(esk1_4(X2,X3,X4,X5))
| X1 = esk2_3(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
epred1_3(X1,X2,rho1),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( ~ epred1_3(X4,X3,X2)
| ~ cnt(X5,X3,X4)
| ~ part_of(X5,X2)
| ~ permission(X5)
| ~ cnt(X1,X3,X4)
| ~ part_of(X1,X2)
| ~ no_right(X1)
| part_of(esk1_4(X2,X3,X4,X5),X2)
| X1 = esk2_3(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( ~ epred1_3(X4,X3,X2)
| ~ cnt(X5,X3,X4)
| ~ part_of(X5,X2)
| ~ permission(X5)
| ~ cnt(X1,X3,X4)
| ~ part_of(X1,X2)
| ~ no_right(X1)
| cnt(esk1_4(X2,X3,X4,X5),X3,X4)
| X1 = esk2_3(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( ~ permission(X4)
| ~ part_of(X1,rho1)
| ~ part_of(X4,rho1)
| ~ cnt(X1,X2,X3)
| ~ cnt(X4,X2,X3)
| ~ no_right(X1)
| permission(esk1_4(rho1,X2,X3,X4))
| X1 = esk2_3(rho1,X2,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
cnt(l,some_action,some_target),
inference(split_conjunct,[status(thm)],[cnt_l]) ).
cnf(c_0_26,plain,
part_of(l,rho1),
inference(split_conjunct,[status(thm)],[partof_l]) ).
cnf(c_0_27,plain,
permission(l),
inference(split_conjunct,[status(thm)],[permission_l]) ).
cnf(c_0_28,plain,
( ~ permission(X4)
| ~ part_of(X1,rho1)
| ~ part_of(X4,rho1)
| ~ cnt(X1,X2,X3)
| ~ cnt(X4,X2,X3)
| ~ no_right(X1)
| part_of(esk1_4(rho1,X2,X3,X4),rho1)
| X1 = esk2_3(rho1,X2,X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_29,plain,
( ~ permission(X4)
| ~ part_of(X1,rho1)
| ~ part_of(X4,rho1)
| ~ cnt(X1,X2,X3)
| ~ cnt(X4,X2,X3)
| ~ no_right(X1)
| cnt(esk1_4(rho1,X2,X3,X4),X2,X3)
| X1 = esk2_3(rho1,X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
fof(c_0_30,plain,
! [X11] :
( X11 = l
| ~ cnt(X11,some_action,some_target)
| ~ part_of(X11,rho1)
| ~ permission(X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[perm_l_unique])])]) ).
cnf(c_0_31,plain,
( ~ part_of(X1,rho1)
| ~ cnt(X1,some_action,some_target)
| ~ no_right(X1)
| permission(esk1_4(rho1,some_action,some_target,l))
| X1 = esk2_3(rho1,some_action,some_target) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_32,plain,
cnt(n2,some_action,some_target),
inference(split_conjunct,[status(thm)],[cnt_n2]) ).
cnf(c_0_33,plain,
no_right(n2),
inference(split_conjunct,[status(thm)],[no_right_n2]) ).
cnf(c_0_34,plain,
part_of(n2,rho1),
inference(split_conjunct,[status(thm)],[partof_n2]) ).
cnf(c_0_35,plain,
( ~ part_of(X1,rho1)
| ~ cnt(X1,some_action,some_target)
| ~ no_right(X1)
| part_of(esk1_4(rho1,some_action,some_target,l),rho1)
| X1 = esk2_3(rho1,some_action,some_target) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_36,plain,
( ~ part_of(X1,rho1)
| ~ cnt(X1,some_action,some_target)
| ~ no_right(X1)
| cnt(esk1_4(rho1,some_action,some_target,l),some_action,some_target)
| X1 = esk2_3(rho1,some_action,some_target) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_37,plain,
( ~ cnt(X1,some_action,some_target)
| ~ part_of(X1,rho1)
| ~ permission(X1)
| X1 = l ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( permission(esk1_4(rho1,some_action,some_target,l))
| esk2_3(rho1,some_action,some_target) = n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_39,plain,
( part_of(esk1_4(rho1,some_action,some_target,l),rho1)
| esk2_3(rho1,some_action,some_target) = n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_40,plain,
( cnt(esk1_4(rho1,some_action,some_target,l),some_action,some_target)
| esk2_3(rho1,some_action,some_target) = n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_41,plain,
( ~ epred1_3(X4,X3,X2)
| ~ cnt(X5,X3,X4)
| ~ part_of(X5,X2)
| ~ permission(X5)
| esk1_4(X2,X3,X4,X5) != X5
| ~ cnt(X1,X3,X4)
| ~ part_of(X1,X2)
| ~ no_right(X1)
| X1 = esk2_3(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_42,plain,
( esk2_3(rho1,some_action,some_target) = n2
| esk1_4(rho1,some_action,some_target,l) = l ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]) ).
fof(c_0_43,plain,
n1 != n2,
inference(fof_simplification,[status(thm)],[n1_neq_n2]) ).
cnf(c_0_44,plain,
cnt(n1,some_action,some_target),
inference(split_conjunct,[status(thm)],[cnt_n1]) ).
cnf(c_0_45,plain,
no_right(n1),
inference(split_conjunct,[status(thm)],[no_right_n1]) ).
cnf(c_0_46,plain,
part_of(n1,rho1),
inference(split_conjunct,[status(thm)],[partof_n1]) ).
cnf(c_0_47,plain,
( ~ part_of(X1,rho1)
| ~ cnt(X1,some_action,some_target)
| ~ no_right(X1)
| X1 = esk2_3(rho1,some_action,some_target)
| esk2_3(rho1,some_action,some_target) = n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_21]),c_0_25]),c_0_26]),c_0_27])]) ).
fof(c_0_48,plain,
n1 != n2,
inference(fof_nnf,[status(thm)],[c_0_43]) ).
cnf(c_0_49,plain,
( permission(esk1_4(rho1,some_action,some_target,l))
| esk2_3(rho1,some_action,some_target) = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_50,plain,
esk2_3(rho1,some_action,some_target) = n2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_51,plain,
n1 != n2,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_52,plain,
( cnt(esk1_4(rho1,some_action,some_target,l),some_action,some_target)
| esk2_3(rho1,some_action,some_target) = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_53,plain,
( part_of(esk1_4(rho1,some_action,some_target,l),rho1)
| esk2_3(rho1,some_action,some_target) = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_54,plain,
permission(esk1_4(rho1,some_action,some_target,l)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_55,plain,
cnt(esk1_4(rho1,some_action,some_target,l),some_action,some_target),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_50]),c_0_51]) ).
cnf(c_0_56,plain,
part_of(esk1_4(rho1,some_action,some_target,l),rho1),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_50]),c_0_51]) ).
cnf(c_0_57,plain,
esk1_4(rho1,some_action,some_target,l) = l,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_54]),c_0_55]),c_0_56])]) ).
cnf(c_0_58,plain,
( ~ part_of(X1,rho1)
| ~ cnt(X1,some_action,some_target)
| ~ no_right(X1)
| X1 = n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_57]),c_0_50]),c_0_21]),c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_59,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_45]),c_0_44]),c_0_46])]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT114+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:27:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.45 % Version: 3.5.1
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 % Starting sh5l with 300s (1) cores
% 0.15/0.45 % new_bool_1 with pid 3960026 completed with status 9
% 0.15/0.45 % new_bool_3 with pid 3960025 completed with status 9
% 0.15/0.45 % sh5l with pid 3960027 completed with status 9
% 0.15/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3960024 completed with status 0
% 0.15/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.45 % No SInE strategy applied
% 0.15/0.45 % Search class: FGUSF-FFMM33-SFFFFFNN
% 0.15/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.15/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3960035 completed with status 0
% 0.15/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.45 % No SInE strategy applied
% 0.15/0.45 % Search class: FGUSF-FFMM33-SFFFFFNN
% 0.15/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.45 % Preprocessing time : 0.002 s
% 0.15/0.45 % Presaturation interreduction done
% 0.15/0.45
% 0.15/0.45 % Proof found!
% 0.15/0.45 % SZS status Unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation
% See solution above
% 0.15/0.45 % Parsed axioms : 19
% 0.15/0.45 % Removed by relevancy pruning/SinE : 0
% 0.15/0.45 % Initial clauses : 51
% 0.15/0.45 % Removed in clause preprocessing : 0
% 0.15/0.45 % Initial clauses in saturation : 51
% 0.15/0.45 % Processed clauses : 247
% 0.15/0.45 % ...of these trivial : 5
% 0.15/0.45 % ...subsumed : 2
% 0.15/0.45 % ...remaining for further processing : 240
% 0.15/0.45 % Other redundant clauses eliminated : 0
% 0.15/0.45 % Clauses deleted for lack of memory : 0
% 0.15/0.45 % Backward-subsumed : 5
% 0.15/0.45 % Backward-rewritten : 60
% 0.15/0.45 % Generated clauses : 654
% 0.15/0.45 % ...of the previous two non-redundant : 624
% 0.15/0.45 % ...aggressively subsumed : 0
% 0.15/0.45 % Contextual simplify-reflections : 8
% 0.15/0.45 % Paramodulations : 654
% 0.15/0.45 % Factorizations : 0
% 0.15/0.45 % NegExts : 0
% 0.15/0.45 % Equation resolutions : 0
% 0.15/0.45 % Disequality decompositions : 0
% 0.15/0.45 % Total rewrite steps : 369
% 0.15/0.45 % ...of those cached : 354
% 0.15/0.45 % Propositional unsat checks : 0
% 0.15/0.45 % Propositional check models : 0
% 0.15/0.45 % Propositional check unsatisfiable : 0
% 0.15/0.45 % Propositional clauses : 0
% 0.15/0.45 % Propositional clauses after purity: 0
% 0.15/0.45 % Propositional unsat core size : 0
% 0.15/0.45 % Propositional preprocessing time : 0.000
% 0.15/0.45 % Propositional encoding time : 0.000
% 0.15/0.45 % Propositional solver time : 0.000
% 0.15/0.45 % Success case prop preproc time : 0.000
% 0.15/0.45 % Success case prop encoding time : 0.000
% 0.15/0.45 % Success case prop solver time : 0.000
% 0.15/0.45 % Current number of processed clauses : 124
% 0.15/0.45 % Positive orientable unit clauses : 19
% 0.15/0.45 % Positive unorientable unit clauses: 0
% 0.15/0.45 % Negative unit clauses : 1
% 0.15/0.45 % Non-unit-clauses : 104
% 0.15/0.45 % Current number of unprocessed clauses: 468
% 0.15/0.45 % ...number of literals in the above : 2557
% 0.15/0.45 % Current number of archived formulas : 0
% 0.15/0.45 % Current number of archived clauses : 116
% 0.15/0.45 % Clause-clause subsumption calls (NU) : 1811
% 0.15/0.45 % Rec. Clause-clause subsumption calls : 427
% 0.15/0.45 % Non-unit clause-clause subsumptions : 15
% 0.15/0.45 % Unit Clause-clause subsumption calls : 12
% 0.15/0.45 % Rewrite failures with RHS unbound : 0
% 0.15/0.45 % BW rewrite match attempts : 6
% 0.15/0.45 % BW rewrite match successes : 3
% 0.15/0.45 % Condensation attempts : 0
% 0.15/0.45 % Condensation successes : 0
% 0.15/0.45 % Termbank termtop insertions : 26675
% 0.15/0.45 % Search garbage collected termcells : 462
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.023 s
% 0.15/0.45 % System time : 0.003 s
% 0.15/0.45 % Total time : 0.026 s
% 0.15/0.45 % Maximum resident set size: 3644 pages
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.136 s
% 0.15/0.45 % System time : 0.047 s
% 0.15/0.45 % Total time : 0.183 s
% 0.15/0.45 % Maximum resident set size: 4864 pages
% 0.15/0.45 % E exiting
%------------------------------------------------------------------------------