%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM853+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/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 : n007.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 07:57:21 PM UTC 2025
% Result : Theorem 19.22s 7.48s
% Output : CNFRefutation 19.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less > leq > greater > geq > vplus > vmul > #nlpp > vsucc > vskolem2 > vd488 > vd487 > vd486 > v1 > #skF_3 > #skF_2 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(vd488,type,
vd488: $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(vd486,type,
vd486: $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(vd487,type,
vd487: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_104,axiom,
! [Vd203,Vd204] :
( ( Vd203 != Vd204 )
| ~ greater(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(goal(130),0),3)) ).
tff(f_48,axiom,
! [Vd418,Vd419] : ( vmul(Vd418,Vd419) = vmul(Vd419,Vd418) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(270,0),0)) ).
tff(f_29,negated_conjecture,
~ greater(vd486,vd488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(conseq(307),490,0)) ).
tff(f_86,axiom,
! [Vd203,Vd204] :
( ( Vd203 = Vd204 )
| greater(Vd203,Vd204)
| less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(goal(130),0),0)) ).
tff(f_76,axiom,
! [Vd226,Vd227] :
( less(Vd226,Vd227)
=> greater(Vd227,Vd226) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(147,0),0)) ).
tff(f_42,axiom,
! [Vd456,Vd457,Vd458] :
( greater(Vd457,Vd458)
=> greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(299,0),2)) ).
tff(f_30,axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(antec(307),489,0)) ).
tff(f_80,axiom,
! [Vd208,Vd209] :
( greater(Vd208,Vd209)
=> less(Vd209,Vd208) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(140,0),0)) ).
tff(f_98,axiom,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| ~ less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(goal(130),0),2)) ).
tff(c_45,plain,
! [Vd204_43] : ~ greater(Vd204_43,Vd204_43),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_17,plain,
! [Vd419_17,Vd418_16] : ( vmul(Vd419_17,Vd418_16) = vmul(Vd418_16,Vd419_17) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_2,plain,
~ greater(vd486,vd488),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_661,plain,
! [Vd203_151,Vd204_152] :
( less(Vd203_151,Vd204_152)
| greater(Vd203_151,Vd204_152)
| ( Vd204_152 = Vd203_151 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_35,plain,
! [Vd227_33,Vd226_32] :
( greater(Vd227_33,Vd226_32)
| ~ less(Vd226_32,Vd227_33) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_673,plain,
! [Vd204_152,Vd203_151] :
( greater(Vd204_152,Vd203_151)
| greater(Vd203_151,Vd204_152)
| ( Vd204_152 = Vd203_151 ) ),
inference(resolution,[status(thm)],[c_661,c_35]) ).
tff(c_1717,plain,
! [Vd457_215,Vd456_216,Vd458_217] :
( greater(vmul(Vd457_215,Vd456_216),vmul(Vd458_217,Vd456_216))
| ~ greater(Vd457_215,Vd458_217) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_25298,plain,
! [Vd418_794,Vd419_795,Vd458_796] :
( greater(vmul(Vd418_794,Vd419_795),vmul(Vd458_796,Vd418_794))
| ~ greater(Vd419_795,Vd458_796) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_1717]) ).
tff(c_4,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_87,plain,
greater(vmul(vd486,vd487),vmul(vd487,vd488)),
inference(demodulation,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_37,plain,
! [Vd209_35,Vd208_34] :
( less(Vd209_35,Vd208_34)
| ~ greater(Vd208_34,Vd209_35) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_276,plain,
! [Vd203_119,Vd204_120] :
( ~ less(Vd203_119,Vd204_120)
| ~ greater(Vd203_119,Vd204_120) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_626,plain,
! [Vd209_147,Vd208_148] :
( ~ greater(Vd209_147,Vd208_148)
| ~ greater(Vd208_148,Vd209_147) ),
inference(resolution,[status(thm)],[c_37,c_276]) ).
tff(c_639,plain,
~ greater(vmul(vd487,vd488),vmul(vd486,vd487)),
inference(resolution,[status(thm)],[c_87,c_626]) ).
tff(c_25420,plain,
~ greater(vd488,vd486),
inference(resolution,[status(thm)],[c_25298,c_639]) ).
tff(c_25436,plain,
( greater(vd486,vd488)
| ( vd488 = vd486 ) ),
inference(resolution,[status(thm)],[c_673,c_25420]) ).
tff(c_25442,plain,
vd488 = vd486,
inference(negUnitSimplification,[status(thm)],[c_2,c_25436]) ).
tff(c_25449,plain,
greater(vmul(vd486,vd487),vmul(vd487,vd486)),
inference(demodulation,[status(thm),theory(equality)],[c_25442,c_87]) ).
tff(c_25453,plain,
greater(vmul(vd486,vd487),vmul(vd486,vd487)),
inference(demodulation,[status(thm),theory(equality)],[c_17,c_25449]) ).
tff(c_25455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45,c_25453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUM853+2 : TPTP v9.0.0. Released v4.1.0.
% 0.09/0.11 % 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
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 8 15:36:09 EDT 2025
% 0.10/0.32 % CPUTime :
% 19.22/7.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.22/7.49
% 19.22/7.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------