TSTP Solution File: SYN354-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN354-1 : TPTP v8.1.2. Released v1.2.0.
% 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 : n012.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 11:10:36 EDT 2023
% Result : Unsatisfiable 2.84s 1.64s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 7 unt; 5 typ; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 24 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 17 (; 17 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ g > f > z > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(f,type,
f: ( $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(g,type,
g: ( $i * $i ) > $o ).
tff(z,type,
z: ( $i * $i ) > $i ).
tff(f_27,axiom,
f(a,b),
file(unknown,unknown) ).
tff(f_37,axiom,
! [Y1,Y2] :
( g(b,z(Y1,Y2))
| g(Y2,z(Y1,Y2))
| ~ f(Y1,Y2)
| f(b,Y2) ),
file(unknown,unknown) ).
tff(f_67,axiom,
! [Y1,Y2] :
( ~ f(a,Y1)
| ~ f(b,Y1)
| ~ f(Y1,Y2) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [Y1,Y2] :
( ~ g(b,z(Y1,Y2))
| ~ g(Y2,z(Y1,Y2))
| ~ f(Y1,Y2)
| f(b,Y2) ),
file(unknown,unknown) ).
tff(c_2,plain,
f(a,b),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_6,plain,
! [Y2_2,Y1_1] :
( f(b,Y2_2)
| ~ f(Y1_1,Y2_2)
| g(Y2_2,z(Y1_1,Y2_2))
| g(b,z(Y1_1,Y2_2)) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_34,plain,
! [Y1_1] :
( f(b,b)
| ~ f(Y1_1,b)
| g(b,z(Y1_1,b)) ),
inference(factorization,[status(thm),theory(equality)],[c_6]) ).
tff(c_49,plain,
f(b,b),
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_14,plain,
! [Y1_9,Y2_10] :
( ~ f(Y1_9,Y2_10)
| ~ f(b,Y1_9)
| ~ f(a,Y1_9) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_56,plain,
( ~ f(b,b)
| ~ f(a,b) ),
inference(resolution,[status(thm)],[c_49,c_14]) ).
tff(c_60,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49,c_56]) ).
tff(c_61,plain,
! [Y1_1] :
( ~ f(Y1_1,b)
| g(b,z(Y1_1,b)) ),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_62,plain,
~ f(b,b),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_88,plain,
! [Y2_24,Y1_25] :
( f(b,Y2_24)
| ~ f(Y1_25,Y2_24)
| ~ g(Y2_24,z(Y1_25,Y2_24))
| ~ g(b,z(Y1_25,Y2_24)) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_96,plain,
! [Y1_1] :
( f(b,b)
| ~ g(b,z(Y1_1,b))
| ~ f(Y1_1,b) ),
inference(resolution,[status(thm)],[c_61,c_88]) ).
tff(c_108,plain,
! [Y1_26] :
( ~ g(b,z(Y1_26,b))
| ~ f(Y1_26,b) ),
inference(negUnitSimplification,[status(thm)],[c_62,c_96]) ).
tff(c_127,plain,
! [Y1_1] : ~ f(Y1_1,b),
inference(resolution,[status(thm)],[c_61,c_108]) ).
tff(c_129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN354-1 : TPTP v8.1.2. Released v1.2.0.
% 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
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 17:03:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.84/1.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.84/1.65
% 2.84/1.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.84/1.67
% 2.84/1.67 Inference rules
% 2.84/1.67 ----------------------
% 2.84/1.67 #Ref : 0
% 2.84/1.67 #Sup : 19
% 2.84/1.67 #Fact : 2
% 2.84/1.67 #Define : 0
% 2.84/1.67 #Split : 2
% 2.84/1.67 #Chain : 0
% 2.84/1.67 #Close : 0
% 2.84/1.67
% 2.84/1.67 Ordering : KBO
% 2.84/1.67
% 2.84/1.67 Simplification rules
% 2.84/1.67 ----------------------
% 2.84/1.67 #Subsume : 13
% 2.84/1.67 #Demod : 2
% 2.84/1.67 #Tautology : 2
% 2.84/1.67 #SimpNegUnit : 6
% 2.84/1.67 #BackRed : 1
% 2.84/1.67
% 2.84/1.67 #Partial instantiations: 0
% 2.84/1.67 #Strategies tried : 1
% 2.84/1.67
% 2.84/1.67 Timing (in seconds)
% 2.84/1.67 ----------------------
% 2.84/1.67 Preprocessing : 0.39
% 2.84/1.67 Parsing : 0.22
% 2.84/1.67 CNF conversion : 0.02
% 2.84/1.67 Main loop : 0.24
% 2.84/1.67 Inferencing : 0.10
% 2.84/1.67 Reduction : 0.05
% 2.84/1.67 Demodulation : 0.04
% 2.84/1.67 BG Simplification : 0.02
% 2.84/1.67 Subsumption : 0.05
% 2.84/1.67 Abstraction : 0.01
% 2.84/1.67 MUC search : 0.00
% 2.84/1.67 Cooper : 0.00
% 2.84/1.67 Total : 0.67
% 2.84/1.67 Index Insertion : 0.00
% 2.84/1.67 Index Deletion : 0.00
% 2.84/1.67 Index Matching : 0.00
% 2.84/1.68 BG Taut test : 0.00
%------------------------------------------------------------------------------