%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG046+1 : TPTP v9.2.1. Released v4.0.0.
% 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 : n006.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 05:05:06 PM UTC 2026
% Result : Theorem 1.22s 1.73s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 64 ( 30 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 65 ( 23 ~; 21 |; 18 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mMNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(m__799,hypothesis,
( aScalar0(xx)
& aScalar0(xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__799) ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(m__,conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_5,plain,
! [X55,X56] :
( ( sdtasdt0(X55,smndt0(X56)) = smndt0(sdtasdt0(X55,X56))
| ~ aScalar0(X55)
| ~ aScalar0(X56) )
& ( sdtasdt0(smndt0(X55),X56) = smndt0(sdtasdt0(X55,X56))
| ~ aScalar0(X55)
| ~ aScalar0(X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).
fof(c_0_6,plain,
! [X43] :
( ~ aScalar0(X43)
| aScalar0(smndt0(X43)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
cnf(c_0_7,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
aScalar0(xy),
inference(split_conjunct,[status(thm)],[m__799]) ).
cnf(c_0_9,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
aScalar0(xx),
inference(split_conjunct,[status(thm)],[m__799]) ).
fof(c_0_11,plain,
! [X44] :
( ( sdtpldt0(X44,sz0z00) = X44
| ~ aScalar0(X44) )
& ( sdtpldt0(sz0z00,X44) = X44
| ~ aScalar0(X44) )
& ( sdtasdt0(X44,sz0z00) = sz0z00
| ~ aScalar0(X44) )
& ( sdtasdt0(sz0z00,X44) = sz0z00
| ~ aScalar0(X44) )
& ( sdtpldt0(X44,smndt0(X44)) = sz0z00
| ~ aScalar0(X44) )
& ( sdtpldt0(smndt0(X44),X44) = sz0z00
| ~ aScalar0(X44) )
& ( smndt0(smndt0(X44)) = X44
| ~ aScalar0(X44) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).
cnf(c_0_12,plain,
( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,hypothesis,
( smndt0(sdtasdt0(X1,xy)) = sdtasdt0(X1,smndt0(xy))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_14,hypothesis,
aScalar0(smndt0(xx)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_17,hypothesis,
( smndt0(sdtasdt0(X1,xy)) = sdtasdt0(smndt0(X1),xy)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_18,hypothesis,
smndt0(sdtasdt0(smndt0(xx),xy)) = sdtasdt0(smndt0(xx),smndt0(xy)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,hypothesis,
smndt0(smndt0(xx)) = xx,
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_20,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_18]),c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG046+1 : TPTP v9.2.1. Released v4.0.0.
% 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
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 5 01:48:01 EDT 2026
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % start to proof: theBenchmark
% 1.22/1.73 % Version : CSE_E---1.7
% 1.22/1.73 % Problem : theBenchmark.p
% 1.22/1.73 % SZS status Theorem for theBenchmark.p
% 1.22/1.73 % SZS output start CNFRefutation
% See solution above
% 1.22/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------