TSTP Solution File: SYN009-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN009-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n017.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 11:08:30 EDT 2023
% Result : Unsatisfiable 2.52s 1.76s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 23 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 21 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 4 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 24 (; 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r > q > p > s > #nlpp > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(r,type,
r: ( $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(p,type,
p: ( $i * $i * $i ) > $o ).
tff(s,type,
s: $i > $o ).
tff(q,type,
q: ( $i * $i * $i ) > $o ).
tff(c,type,
c: $i ).
tff(f_33,axiom,
s(c),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y,Z] :
( ~ s(X)
| ~ s(Y)
| ~ s(Z)
| p(X,Y,Z)
| q(X,Y,Z)
| r(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X,Y] : ~ r(X,Y,c),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X,Y] : ~ q(X,c,Y),
file(unknown,unknown) ).
tff(f_24,axiom,
! [X,Y] : ~ p(c,X,Y),
file(unknown,unknown) ).
tff(c_12,plain,
s(c),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_18,plain,
! [X_16,Y_17,Z_18] :
( r(X_16,Y_17,Z_18)
| q(X_16,Y_17,Z_18)
| p(X_16,Y_17,Z_18)
| ~ s(Z_18)
| ~ s(Y_17)
| ~ s(X_16) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_6,plain,
! [X_5,Y_6] : ~ r(X_5,Y_6,c),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_22,plain,
! [X_16,Y_17] :
( q(X_16,Y_17,c)
| p(X_16,Y_17,c)
| ~ s(c)
| ~ s(Y_17)
| ~ s(X_16) ),
inference(resolution,[status(thm)],[c_18,c_6]) ).
tff(c_26,plain,
! [X_19,Y_20] :
( q(X_19,Y_20,c)
| p(X_19,Y_20,c)
| ~ s(Y_20)
| ~ s(X_19) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_22]) ).
tff(c_4,plain,
! [X_3,Y_4] : ~ q(X_3,c,Y_4),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_30,plain,
! [X_19] :
( p(X_19,c,c)
| ~ s(c)
| ~ s(X_19) ),
inference(resolution,[status(thm)],[c_26,c_4]) ).
tff(c_34,plain,
! [X_21] :
( p(X_21,c,c)
| ~ s(X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_30]) ).
tff(c_2,plain,
! [X_1,Y_2] : ~ p(c,X_1,Y_2),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_38,plain,
~ s(c),
inference(resolution,[status(thm)],[c_34,c_2]) ).
tff(c_42,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu Aug 3 16:54:21 EDT 2023
% 0.09/0.30 % CPUTime :
% 2.52/1.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/1.77
% 2.52/1.77 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.52/1.80
% 2.52/1.80 Inference rules
% 2.52/1.80 ----------------------
% 2.52/1.80 #Ref : 0
% 2.52/1.80 #Sup : 3
% 2.52/1.80 #Fact : 0
% 2.52/1.80 #Define : 0
% 2.52/1.80 #Split : 0
% 2.52/1.80 #Chain : 0
% 2.52/1.80 #Close : 0
% 2.52/1.80
% 2.52/1.80 Ordering : KBO
% 2.52/1.80
% 2.52/1.80 Simplification rules
% 2.52/1.80 ----------------------
% 2.52/1.80 #Subsume : 0
% 2.52/1.80 #Demod : 3
% 2.52/1.80 #Tautology : 0
% 2.52/1.80 #SimpNegUnit : 0
% 2.52/1.80 #BackRed : 0
% 2.52/1.80
% 2.52/1.80 #Partial instantiations: 0
% 2.52/1.80 #Strategies tried : 1
% 2.52/1.80
% 2.52/1.80 Timing (in seconds)
% 2.52/1.80 ----------------------
% 2.52/1.80 Preprocessing : 0.46
% 2.52/1.80 Parsing : 0.26
% 2.52/1.80 CNF conversion : 0.02
% 2.52/1.80 Main loop : 0.22
% 2.52/1.80 Inferencing : 0.13
% 2.52/1.81 Reduction : 0.04
% 2.52/1.81 Demodulation : 0.03
% 2.52/1.81 BG Simplification : 0.01
% 2.52/1.81 Subsumption : 0.03
% 2.52/1.81 Abstraction : 0.01
% 2.52/1.81 MUC search : 0.00
% 2.52/1.81 Cooper : 0.00
% 2.52/1.81 Total : 0.74
% 2.52/1.81 Index Insertion : 0.00
% 2.52/1.81 Index Deletion : 0.00
% 2.52/1.81 Index Matching : 0.00
% 2.52/1.81 BG Taut test : 0.00
%------------------------------------------------------------------------------