%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS069+1 : TPTP v9.0.0. Released v3.1.0.
% 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 : n020.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 07:07:15 PM UTC 2025
% Result : Unsatisfiable 3.62s 1.88s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 61 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 57 ( 24 ~; 21 |; 7 &)
% ( 1 <=>; 4 =>; 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 : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 37 ( 34 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rf3 > rf2 > rf1 > xsd_string > xsd_integer > cp2 > cp1 > cowlThing > cowlNothing > cUnsatisfiable > #nlpp > i2003_11_14_17_18_2750 > #skF_2 > #skF_1 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(cowlThing,type,
cowlThing: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
tff(xsd_integer,type,
xsd_integer: $i > $o ).
tff(i2003_11_14_17_18_2750,type,
i2003_11_14_17_18_2750: $i ).
tff(rf1,type,
rf1: ( $i * $i ) > $o ).
tff(xsd_string,type,
xsd_string: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(rf2,type,
rf2: ( $i * $i ) > $o ).
tff(rf3,type,
rf3: ( $i * $i ) > $o ).
tff(cp2,type,
cp2: $i > $o ).
tff(cowlNothing,type,
cowlNothing: $i > $o ).
tff(cp1,type,
cp1: $i > $o ).
tff(f_159,axiom,
cUnsatisfiable(i2003_11_14_17_18_2750),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
tff(f_136,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rf2(X,Y)
& ~ cp1(Y) )
& ? [Y] :
( rf3(X,Y)
& cp2(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
tff(f_163,axiom,
! [X,Y] :
( rf3(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
tff(f_143,axiom,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
tff(f_167,axiom,
! [X,Y] :
( rf3(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
tff(f_150,axiom,
! [X,Y,Z] :
( ( rf2(X,Y)
& rf2(X,Z) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
tff(c_56,plain,
cUnsatisfiable(i2003_11_14_17_18_2750),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_76,plain,
! [X_71] :
( rf3(X_71,'#skF_3'(X_71))
| ~ cUnsatisfiable(X_71) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_58,plain,
! [X_54,Y_55] :
( rf1(X_54,Y_55)
| ~ rf3(X_54,Y_55) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_84,plain,
! [X_71] :
( rf1(X_71,'#skF_3'(X_71))
| ~ cUnsatisfiable(X_71) ),
inference(resolution,[status(thm)],[c_76,c_58]) ).
tff(c_48,plain,
! [X_35] :
( rf1(X_35,'#skF_1'(X_35))
| ~ cUnsatisfiable(X_35) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_91,plain,
! [Z_77,Y_78,X_79] :
( ( Z_77 = Y_78 )
| ~ rf1(X_79,Z_77)
| ~ rf1(X_79,Y_78) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_105,plain,
! [Y_83,X_84] :
( ( Y_83 = '#skF_1'(X_84) )
| ~ rf1(X_84,Y_83)
| ~ cUnsatisfiable(X_84) ),
inference(resolution,[status(thm)],[c_48,c_91]) ).
tff(c_119,plain,
! [X_89] :
( ( '#skF_1'(X_89) = '#skF_3'(X_89) )
| ~ cUnsatisfiable(X_89) ),
inference(resolution,[status(thm)],[c_84,c_105]) ).
tff(c_123,plain,
'#skF_1'(i2003_11_14_17_18_2750) = '#skF_3'(i2003_11_14_17_18_2750),
inference(resolution,[status(thm)],[c_56,c_119]) ).
tff(c_46,plain,
! [X_35] :
( cp1('#skF_1'(X_35))
| ~ cUnsatisfiable(X_35) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_130,plain,
( cp1('#skF_3'(i2003_11_14_17_18_2750))
| ~ cUnsatisfiable(i2003_11_14_17_18_2750) ),
inference(superposition,[status(thm),theory(equality)],[c_123,c_46]) ).
tff(c_136,plain,
cp1('#skF_3'(i2003_11_14_17_18_2750)),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_130]) ).
tff(c_60,plain,
! [X_56,Y_57] :
( rf2(X_56,Y_57)
| ~ rf3(X_56,Y_57) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_83,plain,
! [X_71] :
( rf2(X_71,'#skF_3'(X_71))
| ~ cUnsatisfiable(X_71) ),
inference(resolution,[status(thm)],[c_76,c_60]) ).
tff(c_44,plain,
! [X_35] :
( rf2(X_35,'#skF_2'(X_35))
| ~ cUnsatisfiable(X_35) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_98,plain,
! [Z_80,Y_81,X_82] :
( ( Z_80 = Y_81 )
| ~ rf2(X_82,Z_80)
| ~ rf2(X_82,Y_81) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_174,plain,
! [Y_93,X_94] :
( ( Y_93 = '#skF_2'(X_94) )
| ~ rf2(X_94,Y_93)
| ~ cUnsatisfiable(X_94) ),
inference(resolution,[status(thm)],[c_44,c_98]) ).
tff(c_184,plain,
! [X_95] :
( ( '#skF_2'(X_95) = '#skF_3'(X_95) )
| ~ cUnsatisfiable(X_95) ),
inference(resolution,[status(thm)],[c_83,c_174]) ).
tff(c_188,plain,
'#skF_2'(i2003_11_14_17_18_2750) = '#skF_3'(i2003_11_14_17_18_2750),
inference(resolution,[status(thm)],[c_56,c_184]) ).
tff(c_42,plain,
! [X_35] :
( ~ cp1('#skF_2'(X_35))
| ~ cUnsatisfiable(X_35) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_195,plain,
( ~ cp1('#skF_3'(i2003_11_14_17_18_2750))
| ~ cUnsatisfiable(i2003_11_14_17_18_2750) ),
inference(superposition,[status(thm),theory(equality)],[c_188,c_42]) ).
tff(c_202,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_136,c_195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS069+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.13 % 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
% 0.12/0.34 % Computer : n020.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 02:57:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.62/1.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.62/1.88
% 3.62/1.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------