%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS003_1 : TPTP v9.0.0. Released v5.0.0.
% 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 : n017.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 : Theorem 3.10s 1.76s
% Output : CNFRefutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 28 ~; 19 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
%$ s > equalish > s2least > s1most > f > e > d > c > #nlpp > u3r2 > u3r1 > u1r2 > u1r1 > exist
%Foreground sorts:
tff(real,type,
real: $tType ).
tff(unreal,type,
unreal: $tType ).
%Background operators:
%Foreground operators:
tff(u3r2,type,
u3r2: unreal > real ).
tff(e,type,
e: unreal > $o ).
tff(u3r1,type,
u3r1: unreal > real ).
tff(equalish,type,
equalish: ( real * real ) > $o ).
tff(exist,type,
exist: unreal ).
tff(c,type,
c: unreal > $o ).
tff(u1r2,type,
u1r2: unreal > real ).
tff(s,type,
s: ( unreal * real ) > $o ).
tff(s2least,type,
s2least: unreal > $o ).
tff(d,type,
d: unreal > $o ).
tff(s1most,type,
s1most: unreal > $o ).
tff(u1r1,type,
u1r1: unreal > real ).
tff(f,type,
f: unreal > $o ).
tff(f_97,negated_conjecture,
~ ( ~ e(exist)
| ~ f(exist) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1__clause_2) ).
tff(f_87,axiom,
! [X1: unreal] :
( e(X1)
=> c(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
tff(f_91,axiom,
! [X1: unreal] :
( f(X1)
=> d(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
tff(f_59,axiom,
! [X1: unreal] :
( d(X1)
=> s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
tff(f_30,axiom,
! [X1: unreal] :
( c(X1)
=> s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
tff(f_47,axiom,
! [X1: unreal] :
( s2least(X1)
=> s(X1,u1r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
tff(f_43,axiom,
! [X1: unreal] :
( s2least(X1)
=> s(X1,u1r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
tff(f_71,axiom,
! [X2: real,X3: real,X1: unreal] :
( ( s1most(X1)
& s(X1,X3)
& s(X1,X2) )
=> equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
tff(f_39,axiom,
! [X1: unreal] :
~ ( s2least(X1)
& equalish(u1r2(X1),u1r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
tff(c_32,plain,
e(exist),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_33,plain,
! [X1_19: unreal] :
( c(X1_19)
| ~ e(X1_19) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_37,plain,
c(exist),
inference(resolution,[status(thm)],[c_32,c_33]) ).
tff(c_30,plain,
f(exist),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_40,plain,
! [X1_22: unreal] :
( d(X1_22)
| ~ f(X1_22) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_44,plain,
d(exist),
inference(resolution,[status(thm)],[c_30,c_40]) ).
tff(c_14,plain,
! [X1_9: unreal] :
( s1most(X1_9)
| ~ d(X1_9) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_2,plain,
! [X1_1: unreal] :
( s2least(X1_1)
| ~ c(X1_1) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_10,plain,
! [X1_5: unreal] :
( s(X1_5,u1r2(X1_5))
| ~ s2least(X1_5) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_8,plain,
! [X1_4: unreal] :
( s(X1_4,u1r1(X1_4))
| ~ s2least(X1_4) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_61,plain,
! [X3_31: real,X2_32: real,X1_33: unreal] :
( equalish(X3_31,X2_32)
| ~ s(X1_33,X2_32)
| ~ s(X1_33,X3_31)
| ~ s1most(X1_33) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_89,plain,
! [X3_41: real,X1_42: unreal] :
( equalish(X3_41,u1r1(X1_42))
| ~ s(X1_42,X3_41)
| ~ s1most(X1_42)
| ~ s2least(X1_42) ),
inference(resolution,[status(thm)],[c_8,c_61]) ).
tff(c_6,plain,
! [X1_3: unreal] :
( ~ equalish(u1r2(X1_3),u1r1(X1_3))
| ~ s2least(X1_3) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_95,plain,
! [X1_43: unreal] :
( ~ s(X1_43,u1r2(X1_43))
| ~ s1most(X1_43)
| ~ s2least(X1_43) ),
inference(resolution,[status(thm)],[c_89,c_6]) ).
tff(c_100,plain,
! [X1_44: unreal] :
( ~ s1most(X1_44)
| ~ s2least(X1_44) ),
inference(resolution,[status(thm)],[c_10,c_95]) ).
tff(c_105,plain,
! [X1_45: unreal] :
( ~ s1most(X1_45)
| ~ c(X1_45) ),
inference(resolution,[status(thm)],[c_2,c_100]) ).
tff(c_110,plain,
! [X1_46: unreal] :
( ~ c(X1_46)
| ~ d(X1_46) ),
inference(resolution,[status(thm)],[c_14,c_105]) ).
tff(c_113,plain,
~ c(exist),
inference(resolution,[status(thm)],[c_44,c_110]) ).
tff(c_117,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS003_1 : TPTP v9.0.0. Released v5.0.0.
% 0.10/0.13 % 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
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 02:52:40 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.10/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.10/1.77
% 3.10/1.77 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------