%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT080+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 : n018.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 04:48:26 PM UTC 2026
% Result : Theorem 0.27s 1.61s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 17 unt; 0 def)
% Number of atoms : 66 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 56 ( 18 ~; 11 |; 25 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 30 ( 2 sgn 13 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl365,conjecture,
~ ? [X1,X2,X3,X13] :
( in_closed(X1,v600,v600)
& in_closed(X1,v800,v800)
& less(v100,X2)
& in_open(X2,v0,v500)
& leq(v8,X3)
& in_lopen(X3,v0,v32)
& in_lopen(X13,v0,v300)
& leq(v150,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl365) ).
fof(in_closed,axiom,
! [X1,X4,X5] :
( in_closed(X1,X4,X5)
<=> ( leq(X4,X1)
& leq(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_closed) ).
fof(leq_antisym,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& leq(X2,X1) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).
fof(irreflexive,axiom,
! [X1] : ~ less(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',irreflexive) ).
fof(ord_v600_v800,axiom,
less(v600,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800) ).
fof(c_0_5,negated_conjecture,
~ ~ ? [X1,X2,X3,X13] :
( in_closed(X1,v600,v600)
& in_closed(X1,v800,v800)
& less(v100,X2)
& in_open(X2,v0,v500)
& leq(v8,X3)
& in_lopen(X3,v0,v32)
& in_lopen(X13,v0,v300)
& leq(v150,X13) ),
inference(assume_negation,[status(cth)],[odrl365]) ).
fof(c_0_6,plain,
! [X96,X97,X98] :
( ( leq(X97,X96)
| ~ in_closed(X96,X97,X98) )
& ( leq(X96,X98)
| ~ in_closed(X96,X97,X98) )
& ( ~ leq(X97,X96)
| ~ leq(X96,X98)
| in_closed(X96,X97,X98) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_closed])])]) ).
fof(c_0_7,negated_conjecture,
( in_closed(esk4_0,v600,v600)
& in_closed(esk4_0,v800,v800)
& less(v100,esk5_0)
& in_open(esk5_0,v0,v500)
& leq(v8,esk6_0)
& in_lopen(esk6_0,v0,v32)
& in_lopen(esk7_0,v0,v300)
& leq(v150,esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X83,X84] :
( ~ leq(X83,X84)
| ~ leq(X84,X83)
| X83 = X84 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_antisym])]) ).
cnf(c_0_9,plain,
( leq(X1,X2)
| ~ in_closed(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
in_closed(esk4_0,v800,v800),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( leq(X1,X2)
| ~ in_closed(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
in_closed(esk4_0,v600,v600),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
leq(esk4_0,v800),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
leq(v800,esk4_0),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
leq(v600,esk4_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
esk4_0 = v800,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
leq(v600,v800),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
in_closed(v800,v600,v600),
inference(rw,[status(thm)],[c_0_12,c_0_17]) ).
fof(c_0_20,plain,
! [X1] : ~ less(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexive]) ).
cnf(c_0_21,negated_conjecture,
( v800 = v600
| ~ leq(v800,v600) ),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
leq(v800,v600),
inference(spm,[status(thm)],[c_0_9,c_0_19]) ).
fof(c_0_23,plain,
! [X75] : ~ less(X75,X75),
inference(variable_rename,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
less(v600,v800),
inference(split_conjunct,[status(thm)],[ord_v600_v800]) ).
cnf(c_0_25,negated_conjecture,
v800 = v600,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_26,plain,
~ less(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT080+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % 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 : n018.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 23:32:17 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.27/1.61 % Version : CSE_E---1.7
% 0.27/1.61 % Problem : theBenchmark.p
% 0.27/1.61 % SZS status Theorem for theBenchmark.p
% 0.27/1.61 % SZS output start CNFRefutation
% See solution above
% 0.27/1.61 % Total time : 1.269s
%------------------------------------------------------------------------------