TSTP Solution File: SET818-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET818-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 14:35:40 EDT 2023
% Result : Unsatisfiable 0.22s 0.64s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 9 ( 5 unt; 4 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_emptyset: $i ).
tff(decl_23,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
v_x: $i > $i ).
tff(decl_25,type,
tc_IntDef_Oint: $i ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(X1,c_emptyset,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_x(X1),X1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_2,axiom,
~ c_in(X1,c_emptyset,X2),
cls_Set_OemptyE_0 ).
cnf(c_0_3,negated_conjecture,
c_in(v_x(X1),X1,tc_IntDef_Oint),
cls_conjecture_0 ).
cnf(c_0_4,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_2,c_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SET818-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 12:02:11 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.62 start to proof: theBenchmark
% 0.22/0.64 % Version : CSE_E---1.5
% 0.22/0.64 % Problem : theBenchmark.p
% 0.22/0.64 % Proof found
% 0.22/0.64 % SZS status Theorem for theBenchmark.p
% 0.22/0.64 % SZS output start Proof
% See solution above
% 0.22/0.64 % Total time : 0.003000 s
% 0.22/0.64 % SZS output end Proof
% 0.22/0.64 % Total time : 0.005000 s
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