%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEV668+1 : TPTP v9.3.0. Released v9.3.0.
% 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 : n020.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 05:15:55 PM UTC 2026
% Result : Theorem 5.93s 6.33s
% Output : CNFRefutation 5.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 23 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 21 ( 6 ~; 0 |; 5 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-5 aty)
% Number of variables : 25 ( 5 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
! [X2199] :
( cRedblack_2ecolor___24t(X2199)
=> ! [X153] :
( cRedblack_2eTREES_2etree___24t(X153)
=> ! [X593] :
( cRedblack_2ekey___24t(X593)
=> ! [X767] :
( cV___24t(X767)
=> ! [X2283] :
( cRedblack_2eTREES_2etree___24t(X2283)
=> cRedblack_2eTREES_2eT___24a5(X2199,X153,X593,X767,X2283) != cRedblack_2eTREES_2eE ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('$_discrim_Redblack.TREES.E$Redblack.TREES.T',axiom,
! [X844,X845,X846,X847,X848] : cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X844,X845,X846,X847,X848),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_discrim_Redblack.TREES.E$Redblack.TREES.T') ).
fof(c_0_2,negated_conjecture,
~ ! [X2199] :
( cRedblack_2ecolor___24t(X2199)
=> ! [X153] :
( cRedblack_2eTREES_2etree___24t(X153)
=> ! [X593] :
( cRedblack_2ekey___24t(X593)
=> ! [X767] :
( cV___24t(X767)
=> ! [X2283] :
( cRedblack_2eTREES_2etree___24t(X2283)
=> cRedblack_2eTREES_2eT___24a5(X2199,X153,X593,X767,X2283) != cRedblack_2eTREES_2eE ) ) ) ) ),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_3,negated_conjecture,
( cRedblack_2ecolor___24t(esk1_0)
& cRedblack_2eTREES_2etree___24t(esk2_0)
& cRedblack_2ekey___24t(esk3_0)
& cV___24t(esk4_0)
& cRedblack_2eTREES_2etree___24t(esk5_0)
& cRedblack_2eTREES_2eT___24a5(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0) = cRedblack_2eTREES_2eE ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_4,plain,
! [X2315,X2316,X2317,X2318,X2319] : cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X2315,X2316,X2317,X2318,X2319),
inference(variable_rename,[status(thm)],['$_discrim_Redblack.TREES.E$Redblack.TREES.T']) ).
cnf(c_0_5,negated_conjecture,
cRedblack_2eTREES_2eT___24a5(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0) = cRedblack_2eTREES_2eE,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
cRedblack_2eTREES_2eE != cRedblack_2eTREES_2eT___24a5(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV668+1 : TPTP v9.3.0. Released v9.3.0.
% 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
% 0.14/0.32 % Computer : n020.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 04:05:05 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 5.93/6.33 % Version : CSE_E---1.7
% 5.93/6.33 % Problem : theBenchmark.p
% 5.93/6.33 % SZS status Theorem for theBenchmark.p
% 5.93/6.33 % SZS output start CNFRefutation
% See solution above
% 5.93/6.33 % Total time : 5.990s
%------------------------------------------------------------------------------