%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM012+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 : n022.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 04:13:07 PM UTC 2026
% Result : Theorem 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 87 ( 10 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 100 ( 38 ~; 41 |; 15 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mTCRDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(mTCTrans,axiom,
! [X1,X2,X3,X4] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3)
& aElement0(X4) )
=> ( ( sdtmndtplgtdt0(X1,X2,X3)
& sdtmndtplgtdt0(X3,X2,X4) )
=> sdtmndtplgtdt0(X1,X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCTrans) ).
fof(m__349,hypothesis,
( aElement0(xx)
& aRewritingSystem0(xR)
& aElement0(xy)
& aElement0(xz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).
fof(c_0_4,negated_conjecture,
~ ( ( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,plain,
! [X38,X39,X40] :
( ( ~ sdtmndtasgtdt0(X38,X39,X40)
| X38 = X40
| sdtmndtplgtdt0(X38,X39,X40)
| ~ aElement0(X38)
| ~ aRewritingSystem0(X39)
| ~ aElement0(X40) )
& ( X38 != X40
| sdtmndtasgtdt0(X38,X39,X40)
| ~ aElement0(X38)
| ~ aRewritingSystem0(X39)
| ~ aElement0(X40) )
& ( ~ sdtmndtplgtdt0(X38,X39,X40)
| sdtmndtasgtdt0(X38,X39,X40)
| ~ aElement0(X38)
| ~ aRewritingSystem0(X39)
| ~ aElement0(X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRDef])])]) ).
fof(c_0_6,negated_conjecture,
( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz)
& ~ sdtmndtasgtdt0(xx,xR,xz) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X34,X35,X36,X37] :
( ~ aElement0(X34)
| ~ aRewritingSystem0(X35)
| ~ aElement0(X36)
| ~ aElement0(X37)
| ~ sdtmndtplgtdt0(X34,X35,X36)
| ~ sdtmndtplgtdt0(X36,X35,X37)
| sdtmndtplgtdt0(X34,X35,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCTrans])]) ).
cnf(c_0_8,plain,
( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
sdtmndtasgtdt0(xy,xR,xz),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(c_0_11,hypothesis,
aElement0(xz),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(c_0_12,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(c_0_13,plain,
( sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( xz = xy
| sdtmndtplgtdt0(xy,xR,xz) ),
inference(cn,[status(thm)],[inference(rw,[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]),c_0_12])]) ).
cnf(c_0_15,negated_conjecture,
sdtmndtasgtdt0(xx,xR,xy),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(c_0_17,negated_conjecture,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
( xz = xy
| sdtmndtplgtdt0(X1,xR,xz)
| ~ sdtmndtplgtdt0(X1,xR,xy)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_20,negated_conjecture,
( xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_15]),c_0_10]),c_0_12]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
~ sdtmndtplgtdt0(xx,xR,xz),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_10]),c_0_11]),c_0_16])]) ).
cnf(c_0_22,negated_conjecture,
( xx = xy
| xz = xy ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16])]),c_0_21]) ).
cnf(c_0_23,negated_conjecture,
xz = xy,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_22]),c_0_9])]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_23]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM012+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
% 0.16/0.33 % Computer : n022.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 16:20:21 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Theorem for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------