%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT114+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:48:30 PM UTC 2026
% Result : Unsatisfiable 1.33s 1.74s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 58 ( 29 unt; 0 def)
% Number of atoms : 406 ( 51 equ)
% Maximal formula atoms : 216 ( 7 avg)
% Number of connectives : 580 ( 232 ~; 271 |; 63 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 5 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] :
( permission(X4)
& part_of(X4,X1)
& cnt(X4,X2,X3)
& ! [X5] :
( ( permission(X5)
& part_of(X5,X1)
& cnt(X5,X2,X3) )
=> X5 = X4 ) )
<=> ? [X6] :
( no_right(X6)
& part_of(X6,X1)
& cnt(X6,X2,X3)
& ! [X7] :
( ( no_right(X7)
& part_of(X7,X1)
& cnt(X7,X2,X3) )
=> X7 = 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] :
( ( permission(X5)
& part_of(X5,rho1)
& cnt(X5,some_action,some_target) )
=> 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(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(n1_neq_n2,axiom,
n1 != n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n1_neq_n2) ).
fof(c_0_13,plain,
! [X1,X2,X3] :
( epred1_3(X3,X2,X1)
<=> ( ? [X4] :
( permission(X4)
& part_of(X4,X1)
& cnt(X4,X2,X3)
& ! [X5] :
( ( permission(X5)
& part_of(X5,X1)
& cnt(X5,X2,X3) )
=> X5 = X4 ) )
<=> ? [X6] :
( no_right(X6)
& part_of(X6,X1)
& cnt(X6,X2,X3)
& ! [X7] :
( ( no_right(X7)
& part_of(X7,X1)
& cnt(X7,X2,X3) )
=> X7 = 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] :
( permission(X4)
& part_of(X4,X1)
& cnt(X4,X2,X3)
& ! [X5] :
( ( permission(X5)
& part_of(X5,X1)
& cnt(X5,X2,X3) )
=> X5 = X4 ) )
<=> ? [X6] :
( no_right(X6)
& part_of(X6,X1)
& cnt(X6,X2,X3)
& ! [X7] :
( ( no_right(X7)
& part_of(X7,X1)
& cnt(X7,X2,X3) )
=> X7 = X6 ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X16,X17,X18] :
( ~ odrl_rel(X16)
| epred1_3(X18,X17,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_17,plain,
! [X20,X21,X22,X23,X26,X27,X30] :
( ( no_right(esk2_3(X20,X21,X22))
| permission(esk1_4(X20,X21,X22,X23))
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( part_of(esk2_3(X20,X21,X22),X20)
| permission(esk1_4(X20,X21,X22,X23))
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( cnt(esk2_3(X20,X21,X22),X21,X22)
| permission(esk1_4(X20,X21,X22,X23))
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( ~ no_right(X26)
| ~ part_of(X26,X20)
| ~ cnt(X26,X21,X22)
| X26 = esk2_3(X20,X21,X22)
| permission(esk1_4(X20,X21,X22,X23))
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( no_right(esk2_3(X20,X21,X22))
| part_of(esk1_4(X20,X21,X22,X23),X20)
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( part_of(esk2_3(X20,X21,X22),X20)
| part_of(esk1_4(X20,X21,X22,X23),X20)
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( cnt(esk2_3(X20,X21,X22),X21,X22)
| part_of(esk1_4(X20,X21,X22,X23),X20)
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( ~ no_right(X26)
| ~ part_of(X26,X20)
| ~ cnt(X26,X21,X22)
| X26 = esk2_3(X20,X21,X22)
| part_of(esk1_4(X20,X21,X22,X23),X20)
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( no_right(esk2_3(X20,X21,X22))
| cnt(esk1_4(X20,X21,X22,X23),X21,X22)
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( part_of(esk2_3(X20,X21,X22),X20)
| cnt(esk1_4(X20,X21,X22,X23),X21,X22)
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( cnt(esk2_3(X20,X21,X22),X21,X22)
| cnt(esk1_4(X20,X21,X22,X23),X21,X22)
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( ~ no_right(X26)
| ~ part_of(X26,X20)
| ~ cnt(X26,X21,X22)
| X26 = esk2_3(X20,X21,X22)
| cnt(esk1_4(X20,X21,X22,X23),X21,X22)
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( no_right(esk2_3(X20,X21,X22))
| esk1_4(X20,X21,X22,X23) != X23
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( part_of(esk2_3(X20,X21,X22),X20)
| esk1_4(X20,X21,X22,X23) != X23
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( cnt(esk2_3(X20,X21,X22),X21,X22)
| esk1_4(X20,X21,X22,X23) != X23
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( ~ no_right(X26)
| ~ part_of(X26,X20)
| ~ cnt(X26,X21,X22)
| X26 = esk2_3(X20,X21,X22)
| esk1_4(X20,X21,X22,X23) != X23
| ~ permission(X23)
| ~ part_of(X23,X20)
| ~ cnt(X23,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( permission(esk4_3(X20,X21,X22))
| no_right(esk3_4(X20,X21,X22,X27))
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( part_of(esk4_3(X20,X21,X22),X20)
| no_right(esk3_4(X20,X21,X22,X27))
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( cnt(esk4_3(X20,X21,X22),X21,X22)
| no_right(esk3_4(X20,X21,X22,X27))
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( ~ permission(X30)
| ~ part_of(X30,X20)
| ~ cnt(X30,X21,X22)
| X30 = esk4_3(X20,X21,X22)
| no_right(esk3_4(X20,X21,X22,X27))
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( permission(esk4_3(X20,X21,X22))
| part_of(esk3_4(X20,X21,X22,X27),X20)
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( part_of(esk4_3(X20,X21,X22),X20)
| part_of(esk3_4(X20,X21,X22,X27),X20)
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( cnt(esk4_3(X20,X21,X22),X21,X22)
| part_of(esk3_4(X20,X21,X22,X27),X20)
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( ~ permission(X30)
| ~ part_of(X30,X20)
| ~ cnt(X30,X21,X22)
| X30 = esk4_3(X20,X21,X22)
| part_of(esk3_4(X20,X21,X22,X27),X20)
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( permission(esk4_3(X20,X21,X22))
| cnt(esk3_4(X20,X21,X22,X27),X21,X22)
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( part_of(esk4_3(X20,X21,X22),X20)
| cnt(esk3_4(X20,X21,X22,X27),X21,X22)
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( cnt(esk4_3(X20,X21,X22),X21,X22)
| cnt(esk3_4(X20,X21,X22,X27),X21,X22)
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( ~ permission(X30)
| ~ part_of(X30,X20)
| ~ cnt(X30,X21,X22)
| X30 = esk4_3(X20,X21,X22)
| cnt(esk3_4(X20,X21,X22,X27),X21,X22)
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( permission(esk4_3(X20,X21,X22))
| esk3_4(X20,X21,X22,X27) != X27
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( part_of(esk4_3(X20,X21,X22),X20)
| esk3_4(X20,X21,X22,X27) != X27
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( cnt(esk4_3(X20,X21,X22),X21,X22)
| esk3_4(X20,X21,X22,X27) != X27
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) )
& ( ~ permission(X30)
| ~ part_of(X30,X20)
| ~ cnt(X30,X21,X22)
| X30 = esk4_3(X20,X21,X22)
| esk3_4(X20,X21,X22,X27) != X27
| ~ no_right(X27)
| ~ part_of(X27,X20)
| ~ cnt(X27,X21,X22)
| ~ epred1_3(X22,X21,X20) ) ),
inference(distribute,[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,
( epred1_3(X2,X3,X1)
| ~ odrl_rel(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,
( X1 = esk2_3(X2,X3,X4)
| permission(esk1_4(X2,X3,X4,X5))
| ~ no_right(X1)
| ~ part_of(X1,X2)
| ~ cnt(X1,X3,X4)
| ~ permission(X5)
| ~ part_of(X5,X2)
| ~ cnt(X5,X3,X4)
| ~ epred1_3(X4,X3,X2) ),
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,
( X1 = esk2_3(X2,X3,X4)
| part_of(esk1_4(X2,X3,X4,X5),X2)
| ~ no_right(X1)
| ~ part_of(X1,X2)
| ~ cnt(X1,X3,X4)
| ~ permission(X5)
| ~ part_of(X5,X2)
| ~ cnt(X5,X3,X4)
| ~ epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( X1 = esk2_3(X2,X3,X4)
| cnt(esk1_4(X2,X3,X4,X5),X3,X4)
| ~ no_right(X1)
| ~ part_of(X1,X2)
| ~ cnt(X1,X3,X4)
| ~ permission(X5)
| ~ part_of(X5,X2)
| ~ cnt(X5,X3,X4)
| ~ epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( X1 = esk2_3(rho1,X2,X3)
| permission(esk1_4(rho1,X2,X3,X4))
| ~ no_right(X1)
| ~ cnt(X4,X2,X3)
| ~ cnt(X1,X2,X3)
| ~ part_of(X4,rho1)
| ~ part_of(X1,rho1)
| ~ permission(X4) ),
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,
( X1 = esk2_3(rho1,X2,X3)
| part_of(esk1_4(rho1,X2,X3,X4),rho1)
| ~ no_right(X1)
| ~ cnt(X4,X2,X3)
| ~ cnt(X1,X2,X3)
| ~ part_of(X4,rho1)
| ~ part_of(X1,rho1)
| ~ permission(X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_29,plain,
( X1 = esk2_3(rho1,X2,X3)
| cnt(esk1_4(rho1,X2,X3,X4),X2,X3)
| ~ no_right(X1)
| ~ cnt(X4,X2,X3)
| ~ cnt(X1,X2,X3)
| ~ part_of(X4,rho1)
| ~ part_of(X1,rho1)
| ~ permission(X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
fof(c_0_30,plain,
! [X19] :
( ~ permission(X19)
| ~ part_of(X19,rho1)
| ~ cnt(X19,some_action,some_target)
| X19 = l ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[perm_l_unique])]) ).
cnf(c_0_31,plain,
( X1 = esk2_3(rho1,some_action,some_target)
| permission(esk1_4(rho1,some_action,some_target,l))
| ~ no_right(X1)
| ~ cnt(X1,some_action,some_target)
| ~ part_of(X1,rho1) ),
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,
( X1 = esk2_3(rho1,some_action,some_target)
| part_of(esk1_4(rho1,some_action,some_target,l),rho1)
| ~ no_right(X1)
| ~ cnt(X1,some_action,some_target)
| ~ part_of(X1,rho1) ),
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,
( X1 = esk2_3(rho1,some_action,some_target)
| cnt(esk1_4(rho1,some_action,some_target,l),some_action,some_target)
| ~ no_right(X1)
| ~ cnt(X1,some_action,some_target)
| ~ part_of(X1,rho1) ),
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,
( X1 = l
| ~ permission(X1)
| ~ part_of(X1,rho1)
| ~ cnt(X1,some_action,some_target) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( esk2_3(rho1,some_action,some_target) = n2
| permission(esk1_4(rho1,some_action,some_target,l)) ),
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,
( esk2_3(rho1,some_action,some_target) = n2
| part_of(esk1_4(rho1,some_action,some_target,l),rho1) ),
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,
( esk2_3(rho1,some_action,some_target) = n2
| cnt(esk1_4(rho1,some_action,some_target,l),some_action,some_target) ),
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,
( X1 = esk2_3(X2,X3,X4)
| ~ no_right(X1)
| ~ part_of(X1,X2)
| ~ cnt(X1,X3,X4)
| esk1_4(X2,X3,X4,X5) != X5
| ~ permission(X5)
| ~ part_of(X5,X2)
| ~ cnt(X5,X3,X4)
| ~ epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_42,plain,
( esk1_4(rho1,some_action,some_target,l) = l
| esk2_3(rho1,some_action,some_target) = n2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]) ).
cnf(c_0_43,plain,
cnt(n1,some_action,some_target),
inference(split_conjunct,[status(thm)],[cnt_n1]) ).
cnf(c_0_44,plain,
no_right(n1),
inference(split_conjunct,[status(thm)],[no_right_n1]) ).
cnf(c_0_45,plain,
part_of(n1,rho1),
inference(split_conjunct,[status(thm)],[partof_n1]) ).
cnf(c_0_46,plain,
( esk2_3(rho1,some_action,some_target) = n2
| X1 = esk2_3(rho1,some_action,some_target)
| ~ no_right(X1)
| ~ cnt(X1,some_action,some_target)
| ~ part_of(X1,rho1) ),
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])]) ).
cnf(c_0_47,plain,
( esk2_3(rho1,some_action,some_target) = n1
| permission(esk1_4(rho1,some_action,some_target,l)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_43]),c_0_44]),c_0_45])]) ).
cnf(c_0_48,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_46,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_49,plain,
n1 != n2,
inference(split_conjunct,[status(thm)],[n1_neq_n2]) ).
cnf(c_0_50,plain,
( esk2_3(rho1,some_action,some_target) = n1
| cnt(esk1_4(rho1,some_action,some_target,l),some_action,some_target) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_43]),c_0_44]),c_0_45])]) ).
cnf(c_0_51,plain,
( esk2_3(rho1,some_action,some_target) = n1
| part_of(esk1_4(rho1,some_action,some_target,l),rho1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_43]),c_0_44]),c_0_45])]) ).
cnf(c_0_52,plain,
permission(esk1_4(rho1,some_action,some_target,l)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_53,plain,
cnt(esk1_4(rho1,some_action,some_target,l),some_action,some_target),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_48]),c_0_49]) ).
cnf(c_0_54,plain,
part_of(esk1_4(rho1,some_action,some_target,l),rho1),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_48]),c_0_49]) ).
cnf(c_0_55,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_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_56,plain,
( X1 = n2
| ~ no_right(X1)
| ~ cnt(X1,some_action,some_target)
| ~ part_of(X1,rho1) ),
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_55]),c_0_48]),c_0_21]),c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_57,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_44]),c_0_43]),c_0_45])]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT114+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n008.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 23:34:58 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.33/1.74 % Version : CSE_E---1.7
% 1.33/1.74 % Problem : theBenchmark.p
% 1.33/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.33/1.74 % SZS output start CNFRefutation
% See solution above
% 1.33/1.74 % Total time : 1.371s
%------------------------------------------------------------------------------