%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM839+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 : n003.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 07:57:17 PM UTC 2025
% Result : Theorem 8.49s 2.99s
% Output : CNFRefutation 8.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 21 |; 0 &)
% ( 1 <=>; 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 : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less > leq > greater > geq > vplus > #nlpp > vsucc > vskolem2 > vd330 > vd329 > vd328 > 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(vd329,type,
vd329: $i ).
tff(less,type,
less: ( $i * $i ) > $o ).
tff(vskolem2,type,
vskolem2: $i > $i ).
tff(vd328,type,
vd328: $i ).
tff(vsucc,type,
vsucc: $i > $i ).
tff(v1,type,
v1: $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(vd330,type,
vd330: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_118,axiom,
! [Vd203,Vd204] :
( ( Vd203 != Vd204 )
| ~ greater(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(goal(130),0),3)) ).
tff(f_86,axiom,
! [Vd244,Vd245] :
( geq(Vd245,Vd244)
<=> ( greater(Vd245,Vd244)
| ( Vd245 = Vd244 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def(cond(conseq(axiom(3)),16),1)) ).
tff(f_29,negated_conjecture,
~ greater(vd328,vd329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(conseq(204),332,0)) ).
tff(f_100,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_90,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,
! [Vd301,Vd302,Vd303] :
( greater(Vd301,Vd302)
=> greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(goal(193),0),2)) ).
tff(f_30,axiom,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(antec(204),331,0)) ).
tff(f_94,axiom,
! [Vd208,Vd209] :
( greater(Vd208,Vd209)
=> less(Vd209,Vd208) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(140,0),0)) ).
tff(f_112,axiom,
! [Vd203,Vd204] :
( ~ greater(Vd203,Vd204)
| ~ less(Vd203,Vd204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(goal(130),0),2)) ).
tff(c_49,plain,
! [Vd204_40] : ~ greater(Vd204_40,Vd204_40),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_35,plain,
! [Vd245_28] : geq(Vd245_28,Vd245_28),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_2,plain,
~ greater(vd328,vd329),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_814,plain,
! [Vd203_176,Vd204_177] :
( less(Vd203_176,Vd204_177)
| greater(Vd203_176,Vd204_177)
| ( Vd204_177 = Vd203_176 ) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_39,plain,
! [Vd227_30,Vd226_29] :
( greater(Vd227_30,Vd226_29)
| ~ less(Vd226_29,Vd227_30) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_7759,plain,
! [Vd204_423,Vd203_424] :
( greater(Vd204_423,Vd203_424)
| greater(Vd203_424,Vd204_423)
| ( Vd204_423 = Vd203_424 ) ),
inference(resolution,[status(thm)],[c_814,c_39]) ).
tff(c_11,plain,
! [Vd301_7,Vd303_9,Vd302_8] :
( greater(vplus(Vd301_7,Vd303_9),vplus(Vd302_8,Vd303_9))
| ~ greater(Vd301_7,Vd302_8) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_4,plain,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_578,plain,
! [Vd209_153,Vd208_154] :
( less(Vd209_153,Vd208_154)
| ~ greater(Vd208_154,Vd209_153) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_47,plain,
! [Vd203_37,Vd204_38] :
( ~ less(Vd203_37,Vd204_38)
| ~ greater(Vd203_37,Vd204_38) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_610,plain,
! [Vd209_158,Vd208_159] :
( ~ greater(Vd209_158,Vd208_159)
| ~ greater(Vd208_159,Vd209_158) ),
inference(resolution,[status(thm)],[c_578,c_47]) ).
tff(c_623,plain,
~ greater(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(resolution,[status(thm)],[c_4,c_610]) ).
tff(c_5967,plain,
~ greater(vd329,vd328),
inference(resolution,[status(thm)],[c_11,c_623]) ).
tff(c_7776,plain,
( greater(vd328,vd329)
| ( vd329 = vd328 ) ),
inference(resolution,[status(thm)],[c_7759,c_5967]) ).
tff(c_7903,plain,
vd329 = vd328,
inference(negUnitSimplification,[status(thm)],[c_2,c_7776]) ).
tff(c_33,plain,
! [Vd245_28,Vd244_27] :
( ( Vd245_28 = Vd244_27 )
| greater(Vd245_28,Vd244_27)
| ~ geq(Vd245_28,Vd244_27) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_5972,plain,
( ( vd329 = vd328 )
| ~ geq(vd329,vd328) ),
inference(resolution,[status(thm)],[c_33,c_5967]) ).
tff(c_5973,plain,
~ geq(vd329,vd328),
inference(splitLeft,[status(thm)],[c_5972]) ).
tff(c_7933,plain,
~ geq(vd328,vd328),
inference(demodulation,[status(thm),theory(equality)],[c_7903,c_5973]) ).
tff(c_7942,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35,c_7933]) ).
tff(c_7943,plain,
vd329 = vd328,
inference(splitRight,[status(thm)],[c_5972]) ).
tff(c_974,plain,
! [Vd245_191,Vd244_192] :
( ( Vd245_191 = Vd244_192 )
| greater(Vd245_191,Vd244_192)
| ~ geq(Vd245_191,Vd244_192) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_1033,plain,
( ( vd329 = vd328 )
| ~ geq(vd328,vd329) ),
inference(resolution,[status(thm)],[c_974,c_2]) ).
tff(c_1045,plain,
~ geq(vd328,vd329),
inference(splitLeft,[status(thm)],[c_1033]) ).
tff(c_7948,plain,
~ geq(vd328,vd328),
inference(demodulation,[status(thm),theory(equality)],[c_7943,c_1045]) ).
tff(c_7954,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35,c_7948]) ).
tff(c_7955,plain,
vd329 = vd328,
inference(splitRight,[status(thm)],[c_1033]) ).
tff(c_7957,plain,
greater(vplus(vd328,vd330),vplus(vd328,vd330)),
inference(demodulation,[status(thm),theory(equality)],[c_7955,c_4]) ).
tff(c_7960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49,c_7957]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM839+2 : TPTP v9.0.0. Released v4.1.0.
% 0.12/0.12 % 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
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 8 15:33:18 EDT 2025
% 0.12/0.33 % CPUTime :
% 8.49/2.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.49/3.00
% 8.49/3.00 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------