TSTP Solution File: SWV888-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV888-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 21:48:31 EDT 2023
% Result : Unsatisfiable 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 31
% Syntax : Number of formulae : 35 ( 5 unt; 28 typ; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 21 >; 27 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 6 con; 0-5 aty)
% Number of variables : 6 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(decl_23,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_24,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
tff(decl_25,type,
c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1: ( $i * $i ) > $i ).
tff(decl_26,type,
c_Option_Ooption_OSome: ( $i * $i ) > $i ).
tff(decl_27,type,
c_Option_Ooption_ONone: $i > $i ).
tff(decl_28,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__6__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_29,type,
c_Suc: $i > $i ).
tff(decl_30,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(decl_31,type,
c_Natural_Osko__Natural__Xevalc__elim__cases__4__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_34,type,
c_Com_OWT: $i > $o ).
tff(decl_35,type,
c_Natural_Osko__Natural__Xeval__eq__1__1: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1: ( $i * $i ) > $i ).
tff(decl_37,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__4__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1: ( $i * $i ) > $i ).
tff(decl_39,type,
c_Natural_Osko__Natural__Xevalc__evaln__1__1: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Com_Obody: $i > $i ).
tff(decl_41,type,
tc_Com_Ocom: $i ).
tff(decl_42,type,
c_Com_OWT__bodies: $o ).
tff(decl_43,type,
c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1: ( $i * $i ) > $i ).
tff(decl_44,type,
c_Option_Othe: ( $i * $i ) > $i ).
tff(decl_45,type,
v_x: $i ).
tff(decl_46,type,
t_a: $i ).
tff(decl_47,type,
c_Com_Osko__Com__XWTs__elim__cases__7__1: $i > $i ).
tff(decl_48,type,
v_pn: $i ).
tff(decl_49,type,
v_xa: $i ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_evalc_OBody_0,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OBody_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_3,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
cls_conjecture_1 ).
cnf(c_0_4,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3) ),
cls_evalc_OBody_0 ).
cnf(c_0_5,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
cls_conjecture_0 ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV888-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 05:38:05 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.57 % Total time : 0.005000 s
% 0.19/0.57 % SZS output end Proof
% 0.19/0.57 % Total time : 0.009000 s
%------------------------------------------------------------------------------