%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS002-1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %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 : Wed Apr 9 07:07:08 PM UTC 2025
% Result : Unsatisfiable 3.00s 1.72s
% Output : CNFRefutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 45 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 36 ( 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ s > r > equalish > s2least > s1most > e > d > c > #nlpp > u4r2 > u4r1 > u3r2 > u3r1 > u1r2 > u1r1 > exist
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(s,type,
s: ( $i * $i ) > $o ).
tff(s1most,type,
s1most: $i > $o ).
tff(d,type,
d: $i > $o ).
tff(u3r1,type,
u3r1: $i > $i ).
tff(u1r1,type,
u1r1: $i > $i ).
tff(u4r1,type,
u4r1: $i > $i ).
tff(u3r2,type,
u3r2: $i > $i ).
tff(u4r2,type,
u4r2: $i > $i ).
tff(c,type,
c: $i > $o ).
tff(e,type,
e: $i > $o ).
tff(s2least,type,
s2least: $i > $o ).
tff(exist,type,
exist: $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(u1r2,type,
u1r2: $i > $i ).
tff(r,type,
r: ( $i * $i ) > $o ).
tff(f_97,axiom,
! [X1] :
( r(X1,u4r2(X1))
| ~ e(X1) ),
file(unknown,unknown) ).
tff(f_113,axiom,
! [X2,X1] :
( c(X2)
| ~ e(X1)
| ~ r(X1,X2) ),
file(unknown,unknown) ).
tff(f_105,axiom,
! [X2,X1] :
( d(X2)
| ~ e(X1)
| ~ r(X1,X2) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X1] :
( s1most(X1)
| ~ d(X1) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X1] :
( s2least(X1)
| ~ c(X1) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X1] :
( s(X1,u1r2(X1))
| ~ s2least(X1) ),
file(unknown,unknown) ).
tff(f_43,axiom,
! [X1] :
( s(X1,u1r1(X1))
| ~ s2least(X1) ),
file(unknown,unknown) ).
tff(f_79,axiom,
! [X3,X2,X1] :
( equalish(X3,X2)
| ~ s1most(X1)
| ~ s(X1,X3)
| ~ s(X1,X2) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X1] :
( ~ s2least(X1)
| ~ equalish(u1r2(X1),u1r1(X1)) ),
file(unknown,unknown) ).
tff(f_22,axiom,
e(exist),
file(unknown,unknown) ).
tff(c_28,plain,
! [X1_17] :
( ~ e(X1_17)
| r(X1_17,u4r2(X1_17)) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_55,plain,
! [X1_36,X2_37] :
( ~ r(X1_36,X2_37)
| ~ e(X1_36)
| c(X2_37) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_59,plain,
! [X1_17] :
( c(u4r2(X1_17))
| ~ e(X1_17) ),
inference(resolution,[status(thm)],[c_28,c_55]) ).
tff(c_62,plain,
! [X1_40,X2_41] :
( ~ r(X1_40,X2_41)
| ~ e(X1_40)
| d(X2_41) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_66,plain,
! [X1_17] :
( d(u4r2(X1_17))
| ~ e(X1_17) ),
inference(resolution,[status(thm)],[c_28,c_62]) ).
tff(c_16,plain,
! [X1_9] :
( ~ d(X1_9)
| s1most(X1_9) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_4,plain,
! [X1_1] :
( ~ c(X1_1)
| s2least(X1_1) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_12,plain,
! [X1_5] :
( ~ s2least(X1_5)
| s(X1_5,u1r2(X1_5)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_10,plain,
! [X1_4] :
( ~ s2least(X1_4)
| s(X1_4,u1r1(X1_4)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_89,plain,
! [X1_50,X2_51,X3_52] :
( ~ s(X1_50,X2_51)
| ~ s(X1_50,X3_52)
| ~ s1most(X1_50)
| equalish(X3_52,X2_51) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_124,plain,
! [X1_59,X3_60] :
( ~ s(X1_59,X3_60)
| ~ s1most(X1_59)
| equalish(X3_60,u1r1(X1_59))
| ~ s2least(X1_59) ),
inference(resolution,[status(thm)],[c_10,c_89]) ).
tff(c_8,plain,
! [X1_3] :
( ~ equalish(u1r2(X1_3),u1r1(X1_3))
| ~ s2least(X1_3) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_130,plain,
! [X1_61] :
( ~ s(X1_61,u1r2(X1_61))
| ~ s1most(X1_61)
| ~ s2least(X1_61) ),
inference(resolution,[status(thm)],[c_124,c_8]) ).
tff(c_135,plain,
! [X1_62] :
( ~ s1most(X1_62)
| ~ s2least(X1_62) ),
inference(resolution,[status(thm)],[c_12,c_130]) ).
tff(c_144,plain,
! [X1_63] :
( ~ s1most(X1_63)
| ~ c(X1_63) ),
inference(resolution,[status(thm)],[c_4,c_135]) ).
tff(c_153,plain,
! [X1_64] :
( ~ c(X1_64)
| ~ d(X1_64) ),
inference(resolution,[status(thm)],[c_16,c_144]) ).
tff(c_162,plain,
! [X1_65] :
( ~ c(u4r2(X1_65))
| ~ e(X1_65) ),
inference(resolution,[status(thm)],[c_66,c_153]) ).
tff(c_166,plain,
! [X1_17] : ~ e(X1_17),
inference(resolution,[status(thm)],[c_59,c_162]) ).
tff(c_2,plain,
e(exist),
inference(cnfTransformation,[status(thm)],[f_22]) ).
tff(c_169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS002-1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 8 02:52:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.00/1.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.00/1.72
% 3.00/1.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------