TSTP Solution File: SET819-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET819-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n019.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 10:57:04 EDT 2023
% Result : Unsatisfiable 2.28s 1.63s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 10 ( 5 unt; 5 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 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 : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 6 (; 6 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > #nlpp > v_x > tc_set > t_a > c_emptyset
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tc_set,type,
tc_set: $i > $i ).
tff(c_emptyset,type,
c_emptyset: $i ).
tff(t_a,type,
t_a: $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(v_x,type,
v_x: $i > $i ).
tff(f_30,axiom,
! [V_U] : c_in(v_x(V_U),V_U,tc_set(t_a)),
file(unknown,unknown) ).
tff(f_28,axiom,
! [V_a,T_a] : ~ c_in(V_a,c_emptyset,T_a),
file(unknown,unknown) ).
tff(c_6,plain,
! [V_U_6] : c_in(v_x(V_U_6),V_U_6,tc_set(t_a)),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_2,plain,
! [V_a_1,T_a_2] : ~ c_in(V_a_1,c_emptyset,T_a_2),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_11,plain,
$false,
inference(resolution,[status(thm)],[c_6,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET819-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % 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
% 0.13/0.36 % Computer : n019.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 16:55:16 EDT 2023
% 0.13/0.36 % CPUTime :
% 2.28/1.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.28/1.64
% 2.28/1.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.52/1.67
% 2.52/1.67 Inference rules
% 2.52/1.67 ----------------------
% 2.52/1.67 #Ref : 0
% 2.52/1.67 #Sup : 1
% 2.52/1.67 #Fact : 0
% 2.52/1.67 #Define : 0
% 2.52/1.67 #Split : 0
% 2.52/1.67 #Chain : 0
% 2.52/1.67 #Close : 0
% 2.52/1.67
% 2.52/1.67 Ordering : KBO
% 2.52/1.67
% 2.52/1.67 Simplification rules
% 2.52/1.67 ----------------------
% 2.52/1.67 #Subsume : 0
% 2.52/1.67 #Demod : 0
% 2.52/1.67 #Tautology : 0
% 2.52/1.67 #SimpNegUnit : 0
% 2.52/1.67 #BackRed : 0
% 2.52/1.67
% 2.52/1.67 #Partial instantiations: 0
% 2.52/1.67 #Strategies tried : 1
% 2.52/1.67
% 2.52/1.67 Timing (in seconds)
% 2.52/1.67 ----------------------
% 2.52/1.68 Preprocessing : 0.37
% 2.52/1.68 Parsing : 0.20
% 2.52/1.68 CNF conversion : 0.02
% 2.52/1.68 Main loop : 0.10
% 2.52/1.68 Inferencing : 0.05
% 2.52/1.68 Reduction : 0.02
% 2.52/1.68 Demodulation : 0.02
% 2.52/1.68 BG Simplification : 0.01
% 2.52/1.68 Subsumption : 0.02
% 2.52/1.68 Abstraction : 0.00
% 2.52/1.68 MUC search : 0.00
% 2.52/1.68 Cooper : 0.00
% 2.52/1.68 Total : 0.52
% 2.52/1.68 Index Insertion : 0.00
% 2.52/1.68 Index Deletion : 0.00
% 2.52/1.68 Index Matching : 0.00
% 2.52/1.68 BG Taut test : 0.00
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