TSTP Solution File: SET834-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET834-2 : 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 : n028.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 10:57:07 EDT 2023
% Result : Unsatisfiable 3.17s 1.83s
% Output : CNFRefutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 41 ( 11 unt; 10 typ; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 26 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 5 >; 8 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 63 (; 63 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_union > c_Main_OsubsetI__1 > #nlpp > tc_set > v_x > v_Z > v_Y > v_X > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(v_X,type,
v_X: $i ).
tff(tc_set,type,
tc_set: $i > $i ).
tff(t_a,type,
t_a: $i ).
tff(c_Main_OsubsetI__1,type,
c_Main_OsubsetI__1: ( $i * $i * $i ) > $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(c_union,type,
c_union: ( $i * $i * $i ) > $i ).
tff(v_Y,type,
v_Y: $i ).
tff(v_Z,type,
v_Z: $i ).
tff(f_64,axiom,
~ c_in(v_x,v_Y,t_a),
file(unknown,unknown) ).
tff(f_60,axiom,
c_in(v_x,v_X,t_a),
file(unknown,unknown) ).
tff(f_54,axiom,
! [V_A,V_B,T_a] :
( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [V_A,V_B,T_a] :
( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_c,V_B,T_a,V_A] :
( ~ c_in(V_c,V_B,T_a)
| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_72,axiom,
! [V_U] :
( c_lessequals(v_X,V_U,tc_set(t_a))
| ~ c_lessequals(v_Z,V_U,tc_set(t_a))
| ~ c_lessequals(v_Y,V_U,tc_set(t_a)) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(V_c,V_B,T_a) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [V_c,V_A,V_B,T_a] :
( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| c_in(V_c,V_B,T_a)
| c_in(V_c,V_A,T_a) ),
file(unknown,unknown) ).
tff(f_62,axiom,
~ c_in(v_x,v_Z,t_a),
file(unknown,unknown) ).
tff(c_18,plain,
~ c_in(v_x,v_Y,t_a),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_14,plain,
c_in(v_x,v_X,t_a),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_10,plain,
! [V_A_17,V_B_18,T_a_19] :
( c_lessequals(V_A_17,V_B_18,tc_set(T_a_19))
| c_in(c_Main_OsubsetI__1(V_A_17,V_B_18,T_a_19),V_A_17,T_a_19) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_4,plain,
! [V_c_5,V_A_6,V_B_8,T_a_7] :
( c_in(V_c_5,c_union(V_A_6,V_B_8,T_a_7),T_a_7)
| ~ c_in(V_c_5,V_A_6,T_a_7) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_23,plain,
! [V_A_32,V_B_33,T_a_34] :
( c_lessequals(V_A_32,V_B_33,tc_set(T_a_34))
| ~ c_in(c_Main_OsubsetI__1(V_A_32,V_B_33,T_a_34),V_B_33,T_a_34) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_193,plain,
! [V_A_65,V_A_66,V_B_67,T_a_68] :
( c_lessequals(V_A_65,c_union(V_A_66,V_B_67,T_a_68),tc_set(T_a_68))
| ~ c_in(c_Main_OsubsetI__1(V_A_65,c_union(V_A_66,V_B_67,T_a_68),T_a_68),V_A_66,T_a_68) ),
inference(resolution,[status(thm)],[c_4,c_23]) ).
tff(c_218,plain,
! [V_A_69,V_B_70,T_a_71] : c_lessequals(V_A_69,c_union(V_A_69,V_B_70,T_a_71),tc_set(T_a_71)),
inference(resolution,[status(thm)],[c_10,c_193]) ).
tff(c_2,plain,
! [V_c_1,V_A_4,V_B_2,T_a_3] :
( c_in(V_c_1,c_union(V_A_4,V_B_2,T_a_3),T_a_3)
| ~ c_in(V_c_1,V_B_2,T_a_3) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_115,plain,
! [V_A_55,V_A_56,V_B_57,T_a_58] :
( c_lessequals(V_A_55,c_union(V_A_56,V_B_57,T_a_58),tc_set(T_a_58))
| ~ c_in(c_Main_OsubsetI__1(V_A_55,c_union(V_A_56,V_B_57,T_a_58),T_a_58),V_B_57,T_a_58) ),
inference(resolution,[status(thm)],[c_2,c_23]) ).
tff(c_132,plain,
! [V_A_59,V_A_60,T_a_61] : c_lessequals(V_A_59,c_union(V_A_60,V_A_59,T_a_61),tc_set(T_a_61)),
inference(resolution,[status(thm)],[c_10,c_115]) ).
tff(c_20,plain,
! [V_U_23] :
( ~ c_lessequals(v_Y,V_U_23,tc_set(t_a))
| ~ c_lessequals(v_Z,V_U_23,tc_set(t_a))
| c_lessequals(v_X,V_U_23,tc_set(t_a)) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_144,plain,
! [V_A_60] :
( ~ c_lessequals(v_Y,c_union(V_A_60,v_Z,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(V_A_60,v_Z,t_a),tc_set(t_a)) ),
inference(resolution,[status(thm)],[c_132,c_20]) ).
tff(c_233,plain,
c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a)),
inference(resolution,[status(thm)],[c_218,c_144]) ).
tff(c_8,plain,
! [V_c_13,V_B_16,T_a_15,V_A_14] :
( c_in(V_c_13,V_B_16,T_a_15)
| ~ c_lessequals(V_A_14,V_B_16,tc_set(T_a_15))
| ~ c_in(V_c_13,V_A_14,T_a_15) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_240,plain,
! [V_c_72] :
( c_in(V_c_72,c_union(v_Y,v_Z,t_a),t_a)
| ~ c_in(V_c_72,v_X,t_a) ),
inference(resolution,[status(thm)],[c_233,c_8]) ).
tff(c_6,plain,
! [V_c_9,V_A_10,T_a_12,V_B_11] :
( c_in(V_c_9,V_A_10,T_a_12)
| c_in(V_c_9,V_B_11,T_a_12)
| ~ c_in(V_c_9,c_union(V_A_10,V_B_11,T_a_12),T_a_12) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_260,plain,
! [V_c_73] :
( c_in(V_c_73,v_Y,t_a)
| c_in(V_c_73,v_Z,t_a)
| ~ c_in(V_c_73,v_X,t_a) ),
inference(resolution,[status(thm)],[c_240,c_6]) ).
tff(c_16,plain,
~ c_in(v_x,v_Z,t_a),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_274,plain,
( c_in(v_x,v_Y,t_a)
| ~ c_in(v_x,v_X,t_a) ),
inference(resolution,[status(thm)],[c_260,c_16]) ).
tff(c_281,plain,
c_in(v_x,v_Y,t_a),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_274]) ).
tff(c_283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET834-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 16:36:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.17/1.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.17/1.84
% 3.17/1.84 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.44/1.87
% 3.44/1.87 Inference rules
% 3.44/1.87 ----------------------
% 3.44/1.87 #Ref : 0
% 3.44/1.87 #Sup : 58
% 3.44/1.87 #Fact : 0
% 3.44/1.87 #Define : 0
% 3.44/1.87 #Split : 2
% 3.44/1.87 #Chain : 0
% 3.44/1.87 #Close : 0
% 3.44/1.87
% 3.44/1.87 Ordering : KBO
% 3.44/1.87
% 3.44/1.87 Simplification rules
% 3.44/1.87 ----------------------
% 3.44/1.87 #Subsume : 2
% 3.44/1.87 #Demod : 9
% 3.44/1.87 #Tautology : 9
% 3.44/1.87 #SimpNegUnit : 2
% 3.44/1.87 #BackRed : 0
% 3.44/1.87
% 3.44/1.87 #Partial instantiations: 0
% 3.44/1.87 #Strategies tried : 1
% 3.44/1.87
% 3.44/1.87 Timing (in seconds)
% 3.44/1.87 ----------------------
% 3.44/1.87 Preprocessing : 0.42
% 3.44/1.87 Parsing : 0.23
% 3.44/1.88 CNF conversion : 0.02
% 3.44/1.88 Main loop : 0.38
% 3.44/1.88 Inferencing : 0.16
% 3.44/1.88 Reduction : 0.09
% 3.44/1.88 Demodulation : 0.06
% 3.44/1.88 BG Simplification : 0.02
% 3.44/1.88 Subsumption : 0.09
% 3.44/1.88 Abstraction : 0.01
% 3.44/1.88 MUC search : 0.00
% 3.44/1.88 Cooper : 0.00
% 3.44/1.88 Total : 0.85
% 3.44/1.88 Index Insertion : 0.00
% 3.44/1.88 Index Deletion : 0.00
% 3.44/1.88 Index Matching : 0.00
% 3.44/1.88 BG Taut test : 0.00
%------------------------------------------------------------------------------