%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWX186+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 : n004.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 05:34:39 PM UTC 2026
% Result : Theorem 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 34 ( 7 sgn 15 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goal_009,conjecture,
? [X6,X7,X8] :
~ ( drop(X6,X7) = drop(X6,X8)
=> X7 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_009) ).
fof(axiom_006,axiom,
! [X3] : drop(s(X3),nil) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
fof(axiom_007,axiom,
! [X3,X2,X4] : drop(s(X3),cons(X2,X4)) = drop(X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(axiom_003,axiom,
! [X1,X2] : nil != cons(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(c_0_4,negated_conjecture,
~ ? [X6,X7,X8] :
~ ( drop(X6,X7) = drop(X6,X8)
=> X7 = X8 ),
inference(assume_negation,[status(cth)],[goal_009]) ).
fof(c_0_5,negated_conjecture,
! [X38,X39,X40] :
( drop(X38,X39) != drop(X38,X40)
| X39 = X40 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
fof(c_0_6,plain,
! [X33] : drop(s(X33),nil) = nil,
inference(variable_rename,[status(thm)],[axiom_006]) ).
cnf(c_0_7,negated_conjecture,
( X2 = X3
| drop(X1,X2) != drop(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
drop(s(X1),nil) = nil,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X34,X35,X36] : drop(s(X34),cons(X35,X36)) = drop(X34,X36),
inference(variable_rename,[status(thm)],[axiom_007]) ).
fof(c_0_10,plain,
! [X29,X30] : nil != cons(X29,X30),
inference(variable_rename,[status(thm)],[axiom_003]) ).
cnf(c_0_11,negated_conjecture,
( X1 = nil
| drop(s(X2),X1) != nil ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
drop(s(X1),cons(X2,X3)) = drop(X1,X3),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
nil != cons(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
drop(X1,X2) != nil,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_15,plain,
$false,
inference(sr,[status(thm)],[c_0_8,c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.12 % 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
% 0.16/0.34 % Computer : n004.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 07:54:32 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % 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
%------------------------------------------------------------------------------