TSTP Solution File: SET856-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET856-2 : 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 : n008.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 10:57:13 EDT 2023
% Result : Unsatisfiable 1.94s 1.52s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 13 ( 5 unt; 8 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 : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 4 >; 5 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_Zorn_Osucc > c_Union > #nlpp > tc_set > v_n > v_Y > v_S > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_S,type,
v_S: $i ).
tff(tc_set,type,
tc_set: $i > $i ).
tff(c_Zorn_Osucc,type,
c_Zorn_Osucc: ( $i * $i * $i ) > $i ).
tff(v_n,type,
v_n: $i ).
tff(t_a,type,
t_a: $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_Union,type,
c_Union: ( $i * $i ) > $i ).
tff(v_Y,type,
v_Y: $i ).
tff(f_28,axiom,
~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file(unknown,unknown) ).
tff(f_26,axiom,
c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file(unknown,unknown) ).
tff(c_4,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_5,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET856-2 : 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
% 0.15/0.35 % Computer : n008.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 17:00:19 EDT 2023
% 0.15/0.35 % CPUTime :
% 1.94/1.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/1.52
% 1.94/1.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.94/1.56
% 1.94/1.56 Inference rules
% 1.94/1.56 ----------------------
% 1.94/1.56 #Ref : 0
% 1.94/1.56 #Sup : 0
% 1.94/1.56 #Fact : 0
% 1.94/1.56 #Define : 0
% 1.94/1.56 #Split : 0
% 1.94/1.56 #Chain : 0
% 1.94/1.56 #Close : 0
% 1.94/1.56
% 1.94/1.56 Ordering : KBO
% 1.94/1.56
% 1.94/1.56 Simplification rules
% 1.94/1.56 ----------------------
% 1.94/1.56 #Subsume : 1
% 1.94/1.56 #Demod : 0
% 1.94/1.56 #Tautology : 0
% 1.94/1.56 #SimpNegUnit : 1
% 1.94/1.56 #BackRed : 0
% 1.94/1.56
% 1.94/1.56 #Partial instantiations: 0
% 1.94/1.56 #Strategies tried : 1
% 1.94/1.56
% 1.94/1.56 Timing (in seconds)
% 1.94/1.56 ----------------------
% 1.94/1.56 Preprocessing : 0.38
% 1.94/1.56 Parsing : 0.21
% 1.94/1.56 CNF conversion : 0.01
% 1.94/1.56 Main loop : 0.04
% 1.94/1.56 Inferencing : 0.00
% 1.94/1.56 Reduction : 0.01
% 1.94/1.56 Demodulation : 0.00
% 1.94/1.57 BG Simplification : 0.01
% 1.94/1.57 Subsumption : 0.02
% 1.94/1.57 Abstraction : 0.00
% 1.94/1.57 MUC search : 0.00
% 1.94/1.57 Cooper : 0.00
% 1.94/1.57 Total : 0.47
% 1.94/1.57 Index Insertion : 0.00
% 1.94/1.57 Index Deletion : 0.00
% 1.94/1.57 Index Matching : 0.00
% 1.94/1.57 BG Taut test : 0.00
%------------------------------------------------------------------------------