%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT381+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 04:38:25 PM UTC 2026
% Result : Theorem 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 18 unt; 0 def)
% Number of atoms : 93 ( 6 equ)
% Maximal formula atoms : 25 ( 2 avg)
% Number of connectives : 107 ( 46 ~; 44 |; 9 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSup,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> ! [X3] :
( aSupremumOfIn0(X3,X2,X1)
<=> ( aElementOf0(X3,X1)
& aUpperBoundOfIn0(X3,X2,X1)
& ! [X4] :
( aUpperBoundOfIn0(X4,X2,X1)
=> sdtlseqdt0(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSup) ).
fof(m__744,hypothesis,
( aSupremumOfIn0(xu,xS,xT)
& aSupremumOfIn0(xv,xS,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__744) ).
fof(m__725_01,hypothesis,
aSubsetOf0(xS,xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__725_01) ).
fof(m__725,hypothesis,
aSet0(xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__725) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mASymm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mASymm) ).
fof(m__,conjecture,
xu = xv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_7,plain,
! [X72,X73,X74,X75,X76] :
( ( aElementOf0(X74,X72)
| ~ aSupremumOfIn0(X74,X73,X72)
| ~ aSubsetOf0(X73,X72)
| ~ aSet0(X72) )
& ( aUpperBoundOfIn0(X74,X73,X72)
| ~ aSupremumOfIn0(X74,X73,X72)
| ~ aSubsetOf0(X73,X72)
| ~ aSet0(X72) )
& ( ~ aUpperBoundOfIn0(X75,X73,X72)
| sdtlseqdt0(X74,X75)
| ~ aSupremumOfIn0(X74,X73,X72)
| ~ aSubsetOf0(X73,X72)
| ~ aSet0(X72) )
& ( aUpperBoundOfIn0(esk6_3(X72,X73,X76),X73,X72)
| ~ aElementOf0(X76,X72)
| ~ aUpperBoundOfIn0(X76,X73,X72)
| aSupremumOfIn0(X76,X73,X72)
| ~ aSubsetOf0(X73,X72)
| ~ aSet0(X72) )
& ( ~ sdtlseqdt0(X76,esk6_3(X72,X73,X76))
| ~ aElementOf0(X76,X72)
| ~ aUpperBoundOfIn0(X76,X73,X72)
| aSupremumOfIn0(X76,X73,X72)
| ~ aSubsetOf0(X73,X72)
| ~ aSet0(X72) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSup])])])])])]) ).
cnf(c_0_8,plain,
( sdtlseqdt0(X4,X1)
| ~ aUpperBoundOfIn0(X1,X2,X3)
| ~ aSupremumOfIn0(X4,X2,X3)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_9,hypothesis,
aSupremumOfIn0(xv,xS,xT),
inference(split_conjunct,[status(thm)],[m__744]) ).
cnf(c_0_10,hypothesis,
aSubsetOf0(xS,xT),
inference(split_conjunct,[status(thm)],[m__725_01]) ).
cnf(c_0_11,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__725]) ).
cnf(c_0_12,plain,
( aUpperBoundOfIn0(X1,X2,X3)
| ~ aSupremumOfIn0(X1,X2,X3)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,hypothesis,
aSupremumOfIn0(xu,xS,xT),
inference(split_conjunct,[status(thm)],[m__744]) ).
fof(c_0_14,plain,
! [X38,X39] :
( ~ aSet0(X38)
| ~ aElementOf0(X39,X38)
| aElement0(X39) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_15,plain,
( aElementOf0(X1,X2)
| ~ aSupremumOfIn0(X1,X3,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,plain,
! [X49,X50] :
( ~ aElement0(X49)
| ~ aElement0(X50)
| ~ sdtlseqdt0(X49,X50)
| ~ sdtlseqdt0(X50,X49)
| X49 = X50 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mASymm])]) ).
cnf(c_0_17,hypothesis,
( sdtlseqdt0(xv,X1)
| ~ aUpperBoundOfIn0(X1,xS,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_18,hypothesis,
aUpperBoundOfIn0(xu,xS,xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_10]),c_0_11])]) ).
cnf(c_0_19,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,hypothesis,
aElementOf0(xv,xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_21,hypothesis,
aElementOf0(xu,xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_10]),c_0_11])]) ).
fof(c_0_22,negated_conjecture,
xu != xv,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_23,plain,
( X1 = X2
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,hypothesis,
sdtlseqdt0(xv,xu),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,hypothesis,
aElement0(xv),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_11])]) ).
cnf(c_0_26,hypothesis,
aElement0(xu),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_21]),c_0_11])]) ).
cnf(c_0_27,negated_conjecture,
xu != xv,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,hypothesis,
( sdtlseqdt0(xu,X1)
| ~ aUpperBoundOfIn0(X1,xS,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_10]),c_0_11])]) ).
cnf(c_0_29,hypothesis,
aUpperBoundOfIn0(xv,xS,xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_30,hypothesis,
~ sdtlseqdt0(xu,xv),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_31,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT381+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n007.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 21:47:39 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Theorem for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------