TSTP Solution File: SYN066-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN066-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n006.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 11:09:13 EDT 2023
% Result : Unsatisfiable 2.21s 1.55s
% Output : CNFRefutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 22 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 7 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 23 (; 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_r > big_q > big_p > i > h > f > #nlpp > g > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(h,type,
h: ( $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff(big_p,type,
big_p: ( $i * $i ) > $o ).
tff(big_r,type,
big_r: ( $i * $i ) > $o ).
tff(g,type,
g: $i > $i ).
tff(i,type,
i: ( $i * $i ) > $i ).
tff(f,type,
f: ( $i * $i ) > $i ).
tff(big_q,type,
big_q: ( $i * $i ) > $o ).
tff(f_43,axiom,
! [X,Y,Z] :
( ~ big_q(X,Y)
| big_r(Z,Z) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X,Y] :
( big_p(X,Y)
| big_q(i(X,Y),X) ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X,Y] :
( ~ big_p(f(X,Y),g(X))
| big_q(h(X,Y),g(X)) ),
file(unknown,unknown) ).
tff(f_46,axiom,
! [Z] : ~ big_r(a,Z),
file(unknown,unknown) ).
tff(c_10,plain,
! [Z_11,X_9,Y_10] :
( big_r(Z_11,Z_11)
| ~ big_q(X_9,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_15,plain,
! [X_9,Y_10] : ~ big_q(X_9,Y_10),
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_8,plain,
! [X_7,Y_8] :
( big_q(i(X_7,Y_8),X_7)
| big_p(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_17,plain,
! [X_7,Y_8] : big_p(X_7,Y_8),
inference(negUnitSimplification,[status(thm)],[c_15,c_8]) ).
tff(c_6,plain,
! [X_5,Y_6] :
( big_q(h(X_5,Y_6),g(X_5))
| ~ big_p(f(X_5,Y_6),g(X_5)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_23,plain,
! [X_5,Y_6] : big_q(h(X_5,Y_6),g(X_5)),
inference(demodulation,[status(thm),theory(equality)],[c_17,c_6]) ).
tff(c_24,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15,c_23]) ).
tff(c_26,plain,
! [Z_20] : big_r(Z_20,Z_20),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_12,plain,
! [Z_12] : ~ big_r(a,Z_12),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_31,plain,
$false,
inference(resolution,[status(thm)],[c_26,c_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN066-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 17:18:13 EDT 2023
% 0.16/0.36 % CPUTime :
% 2.21/1.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.21/1.55
% 2.21/1.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.21/1.59
% 2.21/1.59 Inference rules
% 2.21/1.59 ----------------------
% 2.21/1.59 #Ref : 0
% 2.21/1.59 #Sup : 1
% 2.21/1.59 #Fact : 0
% 2.21/1.59 #Define : 0
% 2.21/1.59 #Split : 1
% 2.21/1.59 #Chain : 0
% 2.21/1.59 #Close : 0
% 2.21/1.59
% 2.21/1.59 Ordering : KBO
% 2.21/1.59
% 2.21/1.59 Simplification rules
% 2.21/1.59 ----------------------
% 2.21/1.59 #Subsume : 0
% 2.21/1.59 #Demod : 4
% 2.21/1.59 #Tautology : 2
% 2.21/1.59 #SimpNegUnit : 2
% 2.21/1.59 #BackRed : 0
% 2.21/1.59
% 2.21/1.59 #Partial instantiations: 0
% 2.21/1.59 #Strategies tried : 1
% 2.21/1.59
% 2.21/1.59 Timing (in seconds)
% 2.21/1.59 ----------------------
% 2.21/1.60 Preprocessing : 0.40
% 2.21/1.60 Parsing : 0.22
% 2.21/1.60 CNF conversion : 0.02
% 2.21/1.60 Main loop : 0.14
% 2.21/1.60 Inferencing : 0.05
% 2.21/1.60 Reduction : 0.03
% 2.21/1.60 Demodulation : 0.02
% 2.21/1.60 BG Simplification : 0.01
% 2.21/1.60 Subsumption : 0.03
% 2.21/1.60 Abstraction : 0.00
% 2.21/1.60 MUC search : 0.00
% 2.21/1.60 Cooper : 0.00
% 2.21/1.60 Total : 0.59
% 2.21/1.60 Index Insertion : 0.00
% 2.21/1.60 Index Deletion : 0.00
% 2.21/1.60 Index Matching : 0.00
% 2.21/1.60 BG Taut test : 0.00
%------------------------------------------------------------------------------