%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM147+1 : TPTP v9.2.1. Released v6.4.0.
% 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 : n021.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 04:13:21 PM UTC 2026
% Result : Theorem 1.04s 1.80s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 18 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 17 ( 8 ~; 2 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 24 ( 6 sgn 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Progress-T-abs',conjecture,
! [X36,X9,X10] :
( ( vtcheck(vempty,vabs(X9,X10,ve1),X36)
& ~ visValue(vabs(X9,X10,ve1)) )
=> ? [X35] : vreduce(vabs(X9,X10,ve1)) = vsomeExp(X35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Progress-T-abs') ).
fof(isValue0,axiom,
! [X9,X10,X11,X4] :
( X4 = vabs(X9,X10,X11)
=> visValue(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue0) ).
fof(c_0_2,negated_conjecture,
~ ! [X36,X9,X10] :
( ( vtcheck(vempty,vabs(X9,X10,ve1),X36)
& ~ visValue(vabs(X9,X10,ve1)) )
=> ? [X35] : vreduce(vabs(X9,X10,ve1)) = vsomeExp(X35) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Progress-T-abs'])]) ).
fof(c_0_3,plain,
! [X384,X385,X386,X387] :
( X387 != vabs(X384,X385,X386)
| visValue(X387) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(c_0_4,negated_conjecture,
! [X636] :
( vtcheck(vempty,vabs(esk34_0,esk35_0,ve1),esk33_0)
& ~ visValue(vabs(esk34_0,esk35_0,ve1))
& vreduce(vabs(esk34_0,esk35_0,ve1)) != vsomeExp(X636) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
cnf(c_0_5,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ visValue(vabs(esk34_0,esk35_0,ve1)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
visValue(vabs(X1,X2,X3)),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM147+1 : TPTP v9.2.1. Released v6.4.0.
% 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
% 0.16/0.33 % Computer : n021.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 16:22:40 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.04/1.80 % Version : CSE_E---1.7
% 1.04/1.80 % Problem : theBenchmark.p
% 1.04/1.80 % SZS status Theorem for theBenchmark.p
% 1.04/1.80 % SZS output start CNFRefutation
% See solution above
% 1.04/1.80 % Total time : 1.324s
%------------------------------------------------------------------------------