%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM836+2 : 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/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 07:57:16 PM UTC 2025
% Result : Theorem 6.82s 2.71s
% Output : CNFRefutation 6.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 13 |; 0 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 45 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less > greater > vplus > #nlpp > vsucc > vd204 > vd203 > v1 > #skF_3 > #skF_2 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(vd203,type,
vd203: $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(vd204,type,
vd204: $i ).
tff(less,type,
less: ( $i * $i ) > $o ).
tff(vsucc,type,
vsucc: $i > $i ).
tff(v1,type,
v1: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_33,negated_conjecture,
~ ( ~ greater(vd203,vd204)
| ~ less(vd203,vd204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dis(ex(cond(conseq(131),0),1))) ).
tff(f_48,axiom,
! [Vd193,Vd194] :
( greater(Vd194,Vd193)
<=> ? [Vd196] : ( Vd194 = vplus(Vd193,Vd196) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def(cond(conseq(axiom(3)),11),1)) ).
tff(f_43,axiom,
! [Vd198,Vd199] :
( less(Vd199,Vd198)
<=> ? [Vd201] : ( Vd198 = vplus(Vd199,Vd201) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def(cond(conseq(axiom(3)),12),1)) ).
tff(f_85,axiom,
! [Vd104,Vd105] :
( ( Vd104 != Vd105 )
=> ! [Vd107] : ( vplus(Vd107,Vd104) != vplus(Vd107,Vd105) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(81,0),0)) ).
tff(f_87,axiom,
! [Vd46,Vd47,Vd48] : ( vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(33,0),0)) ).
tff(f_78,axiom,
! [Vd120,Vd121] :
( ( Vd120 != Vd121 )
| ~ ? [Vd123] : ( Vd120 = vplus(Vd121,Vd123) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(goal(88),0),3)) ).
tff(c_2,plain,
less(vd203,vd204),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_4,plain,
greater(vd203,vd204),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_12,plain,
! [Vd193_6,Vd194_7] :
( ( vplus(Vd193_6,'#skF_2'(Vd193_6,Vd194_7)) = Vd194_7 )
| ~ greater(Vd194_7,Vd193_6) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_10,plain,
! [Vd199_2,Vd201_5] : less(Vd199_2,vplus(Vd199_2,Vd201_5)),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_124,plain,
! [Vd199_64,Vd198_65] :
( ( vplus(Vd199_64,'#skF_1'(Vd198_65,Vd199_64)) = Vd198_65 )
| ~ less(Vd199_64,Vd198_65) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_24,plain,
! [Vd107_32,Vd105_30,Vd104_29] :
( ( vplus(Vd107_32,Vd105_30) != vplus(Vd107_32,Vd104_29) )
| ( Vd105_30 = Vd104_29 ) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_136,plain,
! [Vd199_64,Vd104_29,Vd198_65] :
( ( vplus(Vd199_64,Vd104_29) != Vd198_65 )
| ( Vd104_29 = '#skF_1'(Vd198_65,Vd199_64) )
| ~ less(Vd199_64,Vd198_65) ),
inference(superposition,[status(thm),theory(equality)],[c_124,c_24]) ).
tff(c_3150,plain,
! [Vd199_64,Vd104_29] :
( ( '#skF_1'(vplus(Vd199_64,Vd104_29),Vd199_64) = Vd104_29 )
| ~ less(Vd199_64,vplus(Vd199_64,Vd104_29)) ),
inference(reflexivity,[status(thm),theory(equality)],[c_136]) ).
tff(c_3187,plain,
! [Vd199_227,Vd104_228] : ( '#skF_1'(vplus(Vd199_227,Vd104_228),Vd199_227) = Vd104_228 ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_3150]) ).
tff(c_3377,plain,
! [Vd193_235,Vd194_236] :
( ( '#skF_2'(Vd193_235,Vd194_236) = '#skF_1'(Vd194_236,Vd193_235) )
| ~ greater(Vd194_236,Vd193_235) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_3187]) ).
tff(c_3474,plain,
'#skF_2'(vd204,vd203) = '#skF_1'(vd203,vd204),
inference(resolution,[status(thm)],[c_4,c_3377]) ).
tff(c_3552,plain,
( ( vplus(vd204,'#skF_1'(vd203,vd204)) = vd203 )
| ~ greater(vd203,vd204) ),
inference(superposition,[status(thm),theory(equality)],[c_3474,c_12]) ).
tff(c_3556,plain,
vplus(vd204,'#skF_1'(vd203,vd204)) = vd203,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3552]) ).
tff(c_8,plain,
! [Vd199_2,Vd198_1] :
( ( vplus(Vd199_2,'#skF_1'(Vd198_1,Vd199_2)) = Vd198_1 )
| ~ less(Vd199_2,Vd198_1) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_262,plain,
! [Vd46_77,Vd47_78,Vd48_79] : ( vplus(vplus(Vd46_77,Vd47_78),Vd48_79) = vplus(Vd46_77,vplus(Vd47_78,Vd48_79)) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_5336,plain,
! [Vd199_262,Vd198_263,Vd48_264] :
( ( vplus(Vd199_262,vplus('#skF_1'(Vd198_263,Vd199_262),Vd48_264)) = vplus(Vd198_263,Vd48_264) )
| ~ less(Vd199_262,Vd198_263) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_262]) ).
tff(c_22,plain,
! [Vd121_26,Vd123_28] : ( vplus(Vd121_26,Vd123_28) != Vd121_26 ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_5538,plain,
! [Vd198_263,Vd48_264,Vd199_262] :
( ( vplus(Vd198_263,Vd48_264) != Vd199_262 )
| ~ less(Vd199_262,Vd198_263) ),
inference(superposition,[status(thm),theory(equality)],[c_5336,c_22]) ).
tff(c_5676,plain,
! [Vd198_268,Vd48_269] : ~ less(vplus(Vd198_268,Vd48_269),Vd198_268),
inference(reflexivity,[status(thm),theory(equality)],[c_5538]) ).
tff(c_5685,plain,
~ less(vd203,vd204),
inference(superposition,[status(thm),theory(equality)],[c_3556,c_5676]) ).
tff(c_5771,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM836+2 : TPTP v9.0.0. Released v4.1.0.
% 0.04/0.13 % 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
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 8 15:35:55 EDT 2025
% 0.12/0.33 % CPUTime :
% 6.82/2.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.82/2.72
% 6.82/2.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------