TSTP Solution File: NUM844+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM844+2 : TPTP v8.1.2. 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 : n004.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 : Tue Aug 22 10:52:53 EDT 2023
% Result : Theorem 2.78s 1.72s
% Output : CNFRefutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 20 ( 8 unt; 11 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 : 14 ( 8 >; 6 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 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
%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(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(f_52,axiom,
! [Vd78,Vd79] : ( vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ass(cond(61,0),0)) ).
tff(f_62,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_54,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_29,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_28,plain,
! [Vd79_9,Vd78_8] : ( vplus(Vd79_9,Vd78_8) = vplus(Vd78_8,Vd79_9) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_36,plain,
! [Vd42_16,Vd43_17] : ( vplus(Vd42_16,vsucc(Vd43_17)) = vsucc(vplus(Vd42_16,Vd43_17)) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_30,plain,
! [Vd68_10,Vd69_11] : ( vplus(vsucc(Vd68_10),Vd69_11) = vsucc(vplus(Vd68_10,Vd69_11)) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
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_29]) ).
tff(c_54,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_36,c_30,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 14:20:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.78/1.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.91/1.73
% 2.91/1.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.91/1.75
% 2.91/1.75 Inference rules
% 2.91/1.75 ----------------------
% 2.91/1.75 #Ref : 0
% 2.91/1.75 #Sup : 0
% 2.91/1.75 #Fact : 0
% 2.91/1.75 #Define : 0
% 2.91/1.75 #Split : 0
% 2.91/1.75 #Chain : 0
% 2.91/1.75 #Close : 0
% 2.91/1.75
% 2.91/1.75 Ordering : KBO
% 2.91/1.75
% 2.91/1.75 Simplification rules
% 2.91/1.75 ----------------------
% 2.91/1.75 #Subsume : 17
% 2.91/1.75 #Demod : 21
% 2.91/1.75 #Tautology : 4
% 2.91/1.75 #SimpNegUnit : 0
% 2.91/1.75 #BackRed : 0
% 2.91/1.75
% 2.91/1.75 #Partial instantiations: 0
% 2.91/1.75 #Strategies tried : 1
% 2.91/1.75
% 2.91/1.75 Timing (in seconds)
% 2.91/1.75 ----------------------
% 2.91/1.75 Preprocessing : 0.52
% 2.91/1.75 Parsing : 0.27
% 2.91/1.75 CNF conversion : 0.02
% 2.91/1.75 Main loop : 0.11
% 2.91/1.75 Inferencing : 0.00
% 2.91/1.75 Reduction : 0.07
% 2.91/1.75 Demodulation : 0.06
% 2.91/1.75 BG Simplification : 0.02
% 2.91/1.75 Subsumption : 0.03
% 2.91/1.75 Abstraction : 0.01
% 2.91/1.75 MUC search : 0.00
% 2.91/1.75 Cooper : 0.00
% 2.91/1.75 Total : 0.67
% 2.91/1.75 Index Insertion : 0.00
% 2.91/1.75 Index Deletion : 0.00
% 2.91/1.75 Index Matching : 0.00
% 2.91/1.75 BG Taut test : 0.00
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