TSTP Solution File: SYN049-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN049-1 : 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 11:09:07 EDT 2023
% Result : Unsatisfiable 1.98s 1.43s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 12 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 7 (; 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_q > big_p > #nlpp > g > f
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(big_q,type,
big_q: $i > $o ).
tff(f,type,
f: $i > $i ).
tff(g,type,
g: $i > $i ).
tff(big_p,type,
big_p: $i > $o ).
tff(f_31,axiom,
! [X] : ~ big_q(X),
file(unknown,unknown) ).
tff(f_28,axiom,
! [X] : big_p(X),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X] :
( ~ big_p(f(X))
| big_q(g(X)) ),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_3] : ~ big_q(X_3),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_4,plain,
! [X_2] : big_p(X_2),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2,plain,
! [X_1] :
( big_q(g(X_1))
| ~ big_p(f(X_1)) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_8,plain,
! [X_1] : big_q(g(X_1)),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_9,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN049-1 : 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
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 17:18:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 1.98/1.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.98/1.44
% 1.98/1.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.98/1.48
% 1.98/1.48 Inference rules
% 1.98/1.48 ----------------------
% 1.98/1.48 #Ref : 0
% 1.98/1.48 #Sup : 0
% 1.98/1.48 #Fact : 0
% 1.98/1.48 #Define : 0
% 1.98/1.48 #Split : 0
% 1.98/1.48 #Chain : 0
% 1.98/1.48 #Close : 0
% 1.98/1.48
% 1.98/1.48 Ordering : KBO
% 1.98/1.48
% 1.98/1.48 Simplification rules
% 1.98/1.48 ----------------------
% 1.98/1.48 #Subsume : 2
% 1.98/1.48 #Demod : 1
% 1.98/1.48 #Tautology : 0
% 1.98/1.48 #SimpNegUnit : 1
% 1.98/1.48 #BackRed : 0
% 1.98/1.48
% 1.98/1.48 #Partial instantiations: 0
% 1.98/1.48 #Strategies tried : 1
% 1.98/1.48
% 1.98/1.48 Timing (in seconds)
% 1.98/1.48 ----------------------
% 1.98/1.48 Preprocessing : 0.35
% 1.98/1.48 Parsing : 0.19
% 1.98/1.48 CNF conversion : 0.02
% 1.98/1.48 Main loop : 0.05
% 1.98/1.48 Inferencing : 0.00
% 1.98/1.48 Reduction : 0.02
% 1.98/1.48 Demodulation : 0.02
% 1.98/1.48 BG Simplification : 0.01
% 1.98/1.48 Subsumption : 0.02
% 1.98/1.48 Abstraction : 0.00
% 1.98/1.48 MUC search : 0.00
% 1.98/1.48 Cooper : 0.00
% 1.98/1.48 Total : 0.46
% 1.98/1.48 Index Insertion : 0.00
% 1.98/1.48 Index Deletion : 0.00
% 1.98/1.48 Index Matching : 0.00
% 1.98/1.48 BG Taut test : 0.00
%------------------------------------------------------------------------------