%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM836+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/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 : n023.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 6.08s 2.44s
% Output : CNFRefutation 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 16 ~; 5 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 37 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less > greater > vplus > #nlpp > vsucc > vskolem2 > 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(vskolem2,type,
vskolem2: $i > $i ).
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_32,negated_conjecture,
~ ( ~ greater(vd203,vd204)
| ~ less(vd203,vd204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dis(ex(cond(conseq(131),0),1))) ).
tff(f_47,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_89,axiom,
! [Vd78,Vd79] : ( vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(61,0),0)) ).
tff(f_42,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_95,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_87,axiom,
! [Vd92,Vd93] : ( Vd93 != vplus(Vd92,Vd93) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ass(cond(73,0),0)) ).
tff(c_4,plain,
greater(vd203,vd204),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_2,plain,
less(vd203,vd204),
inference(cnfTransformation,[status(thm)],[f_32]) ).
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_47]) ).
tff(c_28,plain,
! [Vd79_36,Vd78_35] : ( vplus(Vd79_36,Vd78_35) = vplus(Vd78_35,Vd79_36) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
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_42]) ).
tff(c_809,plain,
! [Vd46_117,Vd47_118,Vd48_119] : ( vplus(vplus(Vd46_117,Vd47_118),Vd48_119) = vplus(Vd46_117,vplus(Vd47_118,Vd48_119)) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_26,plain,
! [Vd92_33,Vd93_34] : ( vplus(Vd92_33,Vd93_34) != Vd93_34 ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_951,plain,
! [Vd46_120,Vd47_121,Vd48_122] : ( vplus(Vd46_120,vplus(Vd47_121,Vd48_122)) != Vd48_122 ),
inference(superposition,[status(thm),theory(equality)],[c_809,c_26]) ).
tff(c_1346,plain,
! [Vd46_134,Vd79_135,Vd78_136] : ( vplus(Vd46_134,vplus(Vd79_135,Vd78_136)) != Vd79_135 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_951]) ).
tff(c_1365,plain,
! [Vd46_134,Vd198_1,Vd199_2] :
( ( vplus(Vd46_134,Vd198_1) != Vd199_2 )
| ~ less(Vd199_2,Vd198_1) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1346]) ).
tff(c_4148,plain,
! [Vd46_251,Vd198_252] : ~ less(vplus(Vd46_251,Vd198_252),Vd198_252),
inference(reflexivity,[status(thm),theory(equality)],[c_1365]) ).
tff(c_4271,plain,
! [Vd79_257,Vd78_258] : ~ less(vplus(Vd79_257,Vd78_258),Vd79_257),
inference(superposition,[status(thm),theory(equality)],[c_28,c_4148]) ).
tff(c_5060,plain,
! [Vd194_279,Vd193_280] :
( ~ less(Vd194_279,Vd193_280)
| ~ greater(Vd194_279,Vd193_280) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_4271]) ).
tff(c_5129,plain,
~ greater(vd203,vd204),
inference(resolution,[status(thm)],[c_2,c_5060]) ).
tff(c_5155,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_5129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM836+1 : TPTP v9.0.0. Released v4.1.0.
% 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
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 8 15:32:39 EDT 2025
% 0.14/0.34 % CPUTime :
% 6.08/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.08/2.45
% 6.08/2.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------