TSTP Solution File: SYN724-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n031.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 11:11:43 EDT 2023
% Result : Unsatisfiable 2.40s 1.60s
% Output : CNFRefutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 14 unt; 4 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 23 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 3 (; 3 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ s > r > #nlpp > sk2 > sk1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk2,type,
sk2: $i ).
tff(sk1,type,
sk1: $i ).
tff(s,type,
s: $i > $o ).
tff(r,type,
r: $i > $o ).
tff(f_29,axiom,
( r(sk1)
| r(sk2) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [A] :
( s(A)
| ~ r(A) ),
file(unknown,unknown) ).
tff(f_40,axiom,
( r(sk2)
| ~ s(sk1) ),
file(unknown,unknown) ).
tff(f_36,axiom,
( r(sk1)
| ~ r(sk2)
| ~ s(sk2) ),
file(unknown,unknown) ).
tff(f_48,axiom,
( ~ r(sk2)
| ~ s(sk1)
| ~ s(sk2) ),
file(unknown,unknown) ).
tff(c_4,plain,
( r(sk2)
| r(sk1) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_12,plain,
r(sk1),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_13,plain,
! [A_2] :
( ~ r(A_2)
| s(A_2) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_8,plain,
( ~ s(sk1)
| r(sk2) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_11,plain,
~ s(sk1),
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_16,plain,
~ r(sk1),
inference(resolution,[status(thm)],[c_13,c_11]) ).
tff(c_20,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_16]) ).
tff(c_21,plain,
r(sk2),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_2,plain,
! [A_1] :
( ~ r(A_1)
| s(A_1) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_22,plain,
~ r(sk1),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_6,plain,
( ~ s(sk2)
| ~ r(sk2)
| r(sk1) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_29,plain,
( ~ s(sk2)
| r(sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_21,c_6]) ).
tff(c_30,plain,
~ s(sk2),
inference(negUnitSimplification,[status(thm)],[c_22,c_29]) ).
tff(c_33,plain,
~ r(sk2),
inference(resolution,[status(thm)],[c_2,c_30]) ).
tff(c_37,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21,c_33]) ).
tff(c_38,plain,
r(sk2),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_39,plain,
s(sk1),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_10,plain,
( ~ s(sk2)
| ~ s(sk1)
| ~ r(sk2) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_43,plain,
~ s(sk2),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_39,c_10]) ).
tff(c_46,plain,
~ r(sk2),
inference(resolution,[status(thm)],[c_2,c_43]) ).
tff(c_50,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% 0.15/0.15 % 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
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 17:36:14 EDT 2023
% 0.16/0.37 % CPUTime :
% 2.40/1.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.40/1.61
% 2.40/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.68/1.64
% 2.68/1.64 Inference rules
% 2.68/1.64 ----------------------
% 2.68/1.64 #Ref : 0
% 2.68/1.64 #Sup : 4
% 2.68/1.64 #Fact : 0
% 2.68/1.64 #Define : 0
% 2.68/1.64 #Split : 3
% 2.68/1.64 #Chain : 0
% 2.68/1.64 #Close : 0
% 2.68/1.64
% 2.68/1.64 Ordering : KBO
% 2.68/1.64
% 2.68/1.64 Simplification rules
% 2.68/1.64 ----------------------
% 2.68/1.64 #Subsume : 1
% 2.68/1.64 #Demod : 6
% 2.68/1.64 #Tautology : 0
% 2.68/1.64 #SimpNegUnit : 1
% 2.68/1.64 #BackRed : 0
% 2.68/1.64
% 2.68/1.64 #Partial instantiations: 0
% 2.68/1.64 #Strategies tried : 1
% 2.68/1.64
% 2.68/1.64 Timing (in seconds)
% 2.68/1.64 ----------------------
% 2.68/1.64 Preprocessing : 0.38
% 2.68/1.64 Parsing : 0.21
% 2.68/1.64 CNF conversion : 0.02
% 2.68/1.64 Main loop : 0.16
% 2.68/1.64 Inferencing : 0.07
% 2.68/1.64 Reduction : 0.03
% 2.68/1.64 Demodulation : 0.02
% 2.68/1.64 BG Simplification : 0.02
% 2.68/1.64 Subsumption : 0.03
% 2.68/1.64 Abstraction : 0.01
% 2.68/1.64 MUC search : 0.00
% 2.68/1.64 Cooper : 0.00
% 2.68/1.64 Total : 0.59
% 2.68/1.64 Index Insertion : 0.00
% 2.68/1.64 Index Deletion : 0.00
% 2.68/1.64 Index Matching : 0.00
% 2.68/1.64 BG Taut test : 0.00
%------------------------------------------------------------------------------