%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV888-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n016.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 : Wed Apr 9 09:31:51 PM UTC 2025
% Result : Unsatisfiable 5.27s 2.57s
% Output : CNFRefutation 5.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 ( 6 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Natural_Oevaln > c_Natural_Oevalc > c_Com_OWT > c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 > c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 > c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 > c_Natural_Osko__Natural__Xevalc__evaln__1__1 > c_Natural_Osko__Natural__Xeval__eq__1__1 > c_Option_Othe > c_Option_Ooption_OSome > c_Fun_Oid > c_Com_Ocom_OSemi > c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1 > c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1 > c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1 > c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1 > #nlpp > c_Suc > c_Option_Ooption_ONone > c_Com_Osko__Com__XWTs__elim__cases__7__1 > c_Com_Ocom_OBODY > c_Com_Obody > v_xa > v_x > v_pn > tc_Com_Ocom > t_a > c_Com_Ocom_OSKIP > c_Com_OWT__bodies
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(c_Natural_Osko__Natural__Xevalc__elim__cases__4__1,type,
c_Natural_Osko__Natural__Xevalc__elim__cases__4__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__4__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_xa,type,
v_xa: $i ).
tff(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1,type,
c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1: ( $i * $i ) > $i ).
tff(c_Option_Ooption_OSome,type,
c_Option_Ooption_OSome: ( $i * $i ) > $i ).
tff(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__6__1: ( $i * $i * $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(c_Natural_Osko__Natural__Xeval__eq__1__1,type,
c_Natural_Osko__Natural__Xeval__eq__1__1: ( $i * $i * $i ) > $i ).
tff(c_Natural_Oevalc,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(v_pn,type,
v_pn: $i ).
tff(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1,type,
c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1: ( $i * $i ) > $i ).
tff(c_Com_OWT__bodies,type,
c_Com_OWT__bodies: $o ).
tff(c_Com_Ocom_OSKIP,type,
c_Com_Ocom_OSKIP: $i ).
tff(tc_Com_Ocom,type,
tc_Com_Ocom: $i ).
tff(c_Suc,type,
c_Suc: $i > $i ).
tff(c_Option_Othe,type,
c_Option_Othe: ( $i * $i ) > $i ).
tff(c_Natural_Osko__Natural__Xevalc__evaln__1__1,type,
c_Natural_Osko__Natural__Xevalc__evaln__1__1: ( $i * $i * $i ) > $i ).
tff(c_Com_Obody,type,
c_Com_Obody: $i > $i ).
tff(c_Com_Ocom_OBODY,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(c_Com_OWT,type,
c_Com_OWT: $i > $o ).
tff(c_Fun_Oid,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1,type,
c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1: ( $i * $i ) > $i ).
tff(c_Com_Ocom_OSemi,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(c_Com_Osko__Com__XWTs__elim__cases__7__1,type,
c_Com_Osko__Com__XWTs__elim__cases__7__1: $i > $i ).
tff(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1,type,
c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1: ( $i * $i ) > $i ).
tff(c_Natural_Oevaln,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
tff(c_Option_Ooption_ONone,type,
c_Option_Ooption_ONone: $i > $i ).
tff(f_258,axiom,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
file(unknown,unknown) ).
tff(f_256,axiom,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
file(unknown,unknown) ).
tff(f_187,axiom,
! [V_pn,V_s0,V_s1] :
( c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1) ),
file(unknown,unknown) ).
tff(c_110,plain,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_108,plain,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_695,plain,
! [V_pn_235,V_s0_236,V_s1_237] :
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn_235),tc_Com_Ocom),V_s0_236,V_s1_237)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn_235),V_s0_236,V_s1_237) ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_713,plain,
c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
inference(resolution,[status(thm)],[c_108,c_695]) ).
tff(c_718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_713]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV888-1 : TPTP v9.0.0. Released v4.1.0.
% 0.00/0.10 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.31 % Computer : n016.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Wed Apr 9 04:53:53 EDT 2025
% 0.09/0.31 % CPUTime :
% 5.27/2.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.27/2.58
% 5.27/2.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------