TSTP Solution File: LAT263-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT263-2 : 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/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 : 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 10:46:33 EDT 2023
% Result : Unsatisfiable 2.57s 1.61s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 23
% Syntax : Number of formulae : 37 ( 16 unt; 15 typ; 0 def)
% Number of atoms : 38 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 8 >; 12 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 24 (; 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_Tarski_Opotype_Opset > c_Tarski_Olub > c_Tarski_Oglb > tc_Tarski_Opotype_Opotype__ext__type > c_Tarski_Odual > #nlpp > tc_set > v_cl > v_S > v_A > tc_Product__Type_Ounit > t_a > c_Tarski_OPartialOrder > c_Tarski_OCompleteLattice
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_S,type,
v_S: $i ).
tff(tc_set,type,
tc_set: $i > $i ).
tff(c_Tarski_Opotype_Opset,type,
c_Tarski_Opotype_Opset: ( $i * $i * $i ) > $i ).
tff(c_Tarski_Odual,type,
c_Tarski_Odual: ( $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(v_cl,type,
v_cl: $i ).
tff(c_Tarski_Oglb,type,
c_Tarski_Oglb: ( $i * $i * $i ) > $i ).
tff(tc_Product__Type_Ounit,type,
tc_Product__Type_Ounit: $i ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(c_Tarski_Olub,type,
c_Tarski_Olub: ( $i * $i * $i ) > $i ).
tff(c_Tarski_OPartialOrder,type,
c_Tarski_OPartialOrder: $i ).
tff(v_A,type,
v_A: $i ).
tff(tc_Tarski_Opotype_Opotype__ext__type,type,
tc_Tarski_Opotype_Opotype__ext__type: ( $i * $i ) > $i ).
tff(c_Tarski_OCompleteLattice,type,
c_Tarski_OCompleteLattice: $i ).
tff(f_28,axiom,
~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
file(unknown,unknown) ).
tff(f_26,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)),
file(unknown,unknown) ).
tff(f_41,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file(unknown,unknown) ).
tff(f_42,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file(unknown,unknown) ).
tff(f_29,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file(unknown,unknown) ).
tff(f_46,axiom,
! [V_cl,T_a] : ( c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit) ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [V_S,V_cl,T_a] : ( c_Tarski_Oglb(V_S,V_cl,T_a) = c_Tarski_Olub(V_S,c_Tarski_Odual(V_cl,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [V_cl,T_a,V_S] :
( ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
| ~ c_in(V_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
| ~ c_lessequals(V_S,c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),tc_set(T_a))
| c_in(c_Tarski_Olub(V_S,V_cl,T_a),c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),T_a) ),
file(unknown,unknown) ).
tff(c_4,plain,
~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_2,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_10,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_12,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_6,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_16,plain,
! [V_cl_7,T_a_8] : ( c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl_7,T_a_8),T_a_8,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl_7,T_a_8,tc_Product__Type_Ounit) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_14,plain,
! [V_S_4,V_cl_5,T_a_6] : ( c_Tarski_Olub(V_S_4,c_Tarski_Odual(V_cl_5,T_a_6),T_a_6) = c_Tarski_Oglb(V_S_4,V_cl_5,T_a_6) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_39,plain,
! [V_S_14,V_cl_15,T_a_16] :
( c_in(c_Tarski_Olub(V_S_14,V_cl_15,T_a_16),c_Tarski_Opotype_Opset(V_cl_15,T_a_16,tc_Product__Type_Ounit),T_a_16)
| ~ c_lessequals(V_S_14,c_Tarski_Opotype_Opset(V_cl_15,T_a_16,tc_Product__Type_Ounit),tc_set(T_a_16))
| ~ c_in(V_cl_15,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a_16,tc_Product__Type_Ounit))
| ~ c_in(V_cl_15,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a_16,tc_Product__Type_Ounit)) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_41,plain,
! [V_S_14,V_cl_7,T_a_8] :
( c_in(c_Tarski_Olub(V_S_14,c_Tarski_Odual(V_cl_7,T_a_8),T_a_8),c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl_7,T_a_8),T_a_8,tc_Product__Type_Ounit),T_a_8)
| ~ c_lessequals(V_S_14,c_Tarski_Opotype_Opset(V_cl_7,T_a_8,tc_Product__Type_Ounit),tc_set(T_a_8))
| ~ c_in(c_Tarski_Odual(V_cl_7,T_a_8),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a_8,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(V_cl_7,T_a_8),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a_8,tc_Product__Type_Ounit)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_39]) ).
tff(c_47,plain,
! [V_S_17,V_cl_18,T_a_19] :
( c_in(c_Tarski_Oglb(V_S_17,V_cl_18,T_a_19),c_Tarski_Opotype_Opset(V_cl_18,T_a_19,tc_Product__Type_Ounit),T_a_19)
| ~ c_lessequals(V_S_17,c_Tarski_Opotype_Opset(V_cl_18,T_a_19,tc_Product__Type_Ounit),tc_set(T_a_19))
| ~ c_in(c_Tarski_Odual(V_cl_18,T_a_19),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a_19,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(V_cl_18,T_a_19),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a_19,tc_Product__Type_Ounit)) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_41]) ).
tff(c_51,plain,
! [V_S_17] :
( c_in(c_Tarski_Oglb(V_S_17,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ c_lessequals(V_S_17,v_A,tc_set(t_a))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_47]) ).
tff(c_55,plain,
! [V_S_20] :
( c_in(c_Tarski_Oglb(V_S_20,v_cl,t_a),v_A,t_a)
| ~ c_lessequals(V_S_20,v_A,tc_set(t_a)) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_12,c_6,c_51]) ).
tff(c_58,plain,
c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
inference(resolution,[status(thm)],[c_2,c_55]) ).
tff(c_62,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT263-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 12:40:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 2.57/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.57/1.61
% 2.57/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.72/1.64
% 2.72/1.64 Inference rules
% 2.72/1.64 ----------------------
% 2.72/1.64 #Ref : 0
% 2.72/1.64 #Sup : 11
% 2.72/1.64 #Fact : 0
% 2.72/1.64 #Define : 0
% 2.72/1.64 #Split : 1
% 2.72/1.64 #Chain : 0
% 2.72/1.64 #Close : 0
% 2.72/1.64
% 2.72/1.64 Ordering : KBO
% 2.72/1.64
% 2.72/1.64 Simplification rules
% 2.72/1.64 ----------------------
% 2.72/1.64 #Subsume : 0
% 2.72/1.64 #Demod : 7
% 2.72/1.64 #Tautology : 6
% 2.72/1.64 #SimpNegUnit : 1
% 2.83/1.64 #BackRed : 0
% 2.83/1.64
% 2.83/1.64 #Partial instantiations: 0
% 2.83/1.64 #Strategies tried : 1
% 2.83/1.64
% 2.83/1.64 Timing (in seconds)
% 2.83/1.64 ----------------------
% 2.83/1.65 Preprocessing : 0.40
% 2.83/1.65 Parsing : 0.22
% 2.83/1.65 CNF conversion : 0.02
% 2.83/1.65 Main loop : 0.19
% 2.83/1.65 Inferencing : 0.08
% 2.83/1.65 Reduction : 0.05
% 2.83/1.65 Demodulation : 0.04
% 2.83/1.65 BG Simplification : 0.01
% 2.83/1.65 Subsumption : 0.03
% 2.83/1.65 Abstraction : 0.01
% 2.83/1.65 MUC search : 0.00
% 2.83/1.65 Cooper : 0.00
% 2.83/1.65 Total : 0.64
% 2.83/1.65 Index Insertion : 0.00
% 2.83/1.65 Index Deletion : 0.00
% 2.83/1.65 Index Matching : 0.00
% 2.83/1.65 BG Taut test : 0.00
%------------------------------------------------------------------------------