TSTP Solution File: KLE057+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KLE057+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 : Thu Aug 31 05:25:54 EDT 2023
% Result : Theorem 0.17s 0.54s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 16 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 1 =>; 1 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn; 2 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
addition: ( $i * $i ) > $i ).
tff(decl_23,type,
zero: $i ).
tff(decl_24,type,
multiplication: ( $i * $i ) > $i ).
tff(decl_25,type,
one: $i ).
tff(decl_26,type,
leq: ( $i * $i ) > $o ).
tff(decl_27,type,
domain: $i > $i ).
tff(decl_28,type,
esk1_0: $i ).
fof(goals,conjecture,
! [X4] :
( domain(X4) = zero
<= X4 = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(domain4,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain4) ).
fof(c_0_2,negated_conjecture,
~ ! [X4] :
( X4 = zero
=> domain(X4) = zero ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_3,negated_conjecture,
( esk1_0 = zero
& domain(esk1_0) != zero ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_4,negated_conjecture,
domain(esk1_0) != zero,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
esk1_0 = zero,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
domain(zero) = zero,
inference(split_conjunct,[status(thm)],[domain4]) ).
cnf(c_0_7,negated_conjecture,
domain(zero) != zero,
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,plain,
$false,
inference(sr,[status(thm)],[c_0_6,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KLE057+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 11:36:32 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.52 start to proof: theBenchmark
% 0.17/0.53 % Version : CSE_E---1.5
% 0.17/0.53 % Problem : theBenchmark.p
% 0.17/0.53 % Proof found
% 0.17/0.54 % SZS status Theorem for theBenchmark.p
% 0.17/0.54 % SZS output start Proof
% See solution above
% 0.17/0.54 % Total time : 0.003000 s
% 0.17/0.54 % SZS output end Proof
% 0.17/0.54 % Total time : 0.005000 s
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