%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM844+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/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 : n025.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 07:57:19 PM UTC 2025
% Result : Theorem 3.58s 1.76s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 0 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less > leq > greater > geq > vplus > vmul > #nlpp > vsucc > vskolem2 > vd413 > vd411 > v1 > #skF_3 > #skF_2 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(vd413,type,
vd413: $i ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(less,type,
less: ( $i * $i ) > $o ).
tff(vskolem2,type,
vskolem2: $i > $i ).
tff(vsucc,type,
vsucc: $i > $i ).
tff(vd411,type,
vd411: $i ).
tff(v1,type,
v1: $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(vmul,type,
vmul: ( $i * $i ) > $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
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_225,axiom,
! [Vd78,Vd79] : ( vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(61,0),0)) ).
tff(f_235,axiom,
! [Vd42,Vd43] :
( ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43)) )
& ( vplus(Vd42,v1) = vsucc(Vd42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))) ).
tff(f_227,axiom,
! [Vd68,Vd69] : ( vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(52,0),0)) ).
tff(f_28,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(266,415,3)) ).
tff(c_109,plain,
! [Vd79_105,Vd78_104] : ( vplus(Vd79_105,Vd78_104) = vplus(Vd78_104,Vd79_105) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_117,plain,
! [Vd42_112,Vd43_113] : ( vplus(Vd42_112,vsucc(Vd43_113)) = vsucc(vplus(Vd42_112,Vd43_113)) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_111,plain,
! [Vd68_106,Vd69_107] : ( vplus(vsucc(Vd68_106),Vd69_107) = vsucc(vplus(Vd68_106,Vd69_107)) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_2,plain,
vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)) != vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_141,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109,c_117,c_111,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM844+1 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.13 % 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
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 8 15:34:20 EDT 2025
% 0.13/0.33 % CPUTime :
% 3.58/1.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.58/1.76
% 3.58/1.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------