%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG116+4 : 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 : n005.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 05:05:24 PM UTC 2026
% Result : Theorem 1.33s 1.74s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 34 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 30 ( 9 ~; 5 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 2 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1,X2] :
( aElement0(X1)
& aElement0(X2)
& xu = sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__2456,hypothesis,
( ? [X1] :
( aElement0(X1)
& sdtasdt0(xa,X1) = xk )
& aElementOf0(xk,slsdtgt0(xa))
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xb,X1) = xl )
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2456) ).
fof(c_0_2,negated_conjecture,
~ ? [X1,X2] :
( aElement0(X1)
& aElement0(X2)
& xu = sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_3,negated_conjecture,
! [X278,X279] :
( ~ aElement0(X278)
| ~ aElement0(X279)
| xu != sdtpldt0(sdtasdt0(xa,X278),sdtasdt0(xb,X279)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).
fof(c_0_4,hypothesis,
( aElement0(esk39_0)
& sdtasdt0(xa,esk39_0) = xk
& aElementOf0(xk,slsdtgt0(xa))
& aElement0(esk40_0)
& sdtasdt0(xb,esk40_0) = xl
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2456])]) ).
cnf(c_0_5,negated_conjecture,
( ~ aElement0(X1)
| ~ aElement0(X2)
| xu != sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,hypothesis,
sdtasdt0(xb,esk40_0) = xl,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aElement0(esk40_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
( sdtpldt0(sdtasdt0(xa,X1),xl) != xu
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).
cnf(c_0_9,hypothesis,
sdtasdt0(xa,esk39_0) = xk,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,hypothesis,
xu = sdtpldt0(xk,xl),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,hypothesis,
aElement0(esk39_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,hypothesis,
$false,
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])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG116+4 : 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 : n005.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 : Tue May 5 01:50:15 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % 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 Theorem for theBenchmark.p
% 1.33/1.74 % SZS output start CNFRefutation
% See solution above
% 1.33/1.74 % Total time : 1.372s
%------------------------------------------------------------------------------