TSTP Solution File: LAT268-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT268-2 : 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 : n027.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 10:46:35 EDT 2023
% Result : Unsatisfiable 2.84s 1.74s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 31
% Syntax : Number of formulae : 48 ( 19 unt; 20 typ; 0 def)
% Number of atoms : 53 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 11 >; 18 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 38 (; 38 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_Pair > c_Tarski_Opotype_Opset > c_Tarski_Opotype_Oorder > c_Tarski_Olub > c_Tarski_Oglb > tc_prod > tc_Tarski_Opotype_Opotype__ext__type > c_Tarski_Odual > #nlpp > tc_set > v_x > v_r > 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_x,type,
v_x: $i ).
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(tc_prod,type,
tc_prod: ( $i * $i ) > $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_Opotype_Oorder,type,
c_Tarski_Opotype_Oorder: ( $i * $i * $i ) > $i ).
tff(c_Tarski_Olub,type,
c_Tarski_Olub: ( $i * $i * $i ) > $i ).
tff(v_r,type,
v_r: $i ).
tff(c_Pair,type,
c_Pair: ( $i * $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_27,axiom,
c_in(v_x,v_S,t_a),
file(unknown,unknown) ).
tff(f_26,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)),
file(unknown,unknown) ).
tff(f_50,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_51,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_30,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file(unknown,unknown) ).
tff(f_56,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file(unknown,unknown) ).
tff(f_55,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_53,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_44,axiom,
! [V_x,V_S,T_a,V_cl] :
( ~ c_in(V_x,V_S,T_a)
| ~ 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_Pair(V_x,c_Tarski_Olub(V_S,V_cl,T_a),T_a,T_a),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a)) ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [V_x,V_y,T_a,V_cl] :
( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a))
| c_in(c_Pair(V_y,V_x,T_a,T_a),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a)) ),
file(unknown,unknown) ).
tff(f_29,axiom,
~ c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file(unknown,unknown) ).
tff(c_4,plain,
c_in(v_x,v_S,t_a),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_2,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_14,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_50]) ).
tff(c_16,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_51]) ).
tff(c_8,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_22,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_20,plain,
! [V_cl_12,T_a_13] : ( c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl_12,T_a_13),T_a_13,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl_12,T_a_13,tc_Product__Type_Ounit) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_18,plain,
! [V_S_9,V_cl_10,T_a_11] : ( c_Tarski_Olub(V_S_9,c_Tarski_Odual(V_cl_10,T_a_11),T_a_11) = c_Tarski_Oglb(V_S_9,V_cl_10,T_a_11) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_50,plain,
! [V_x_23,V_S_24,V_cl_25,T_a_26] :
( c_in(c_Pair(V_x_23,c_Tarski_Olub(V_S_24,V_cl_25,T_a_26),T_a_26,T_a_26),c_Tarski_Opotype_Oorder(V_cl_25,T_a_26,tc_Product__Type_Ounit),tc_prod(T_a_26,T_a_26))
| ~ c_lessequals(V_S_24,c_Tarski_Opotype_Opset(V_cl_25,T_a_26,tc_Product__Type_Ounit),tc_set(T_a_26))
| ~ c_in(V_cl_25,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a_26,tc_Product__Type_Ounit))
| ~ c_in(V_cl_25,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a_26,tc_Product__Type_Ounit))
| ~ c_in(V_x_23,V_S_24,T_a_26) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_12,plain,
! [V_y_6,V_x_5,T_a_7,V_cl_8] :
( c_in(c_Pair(V_y_6,V_x_5,T_a_7,T_a_7),c_Tarski_Opotype_Oorder(V_cl_8,T_a_7,tc_Product__Type_Ounit),tc_prod(T_a_7,T_a_7))
| ~ c_in(c_Pair(V_x_5,V_y_6,T_a_7,T_a_7),c_Tarski_Opotype_Oorder(c_Tarski_Odual(V_cl_8,T_a_7),T_a_7,tc_Product__Type_Ounit),tc_prod(T_a_7,T_a_7)) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_54,plain,
! [V_S_24,V_cl_8,T_a_26,V_x_23] :
( c_in(c_Pair(c_Tarski_Olub(V_S_24,c_Tarski_Odual(V_cl_8,T_a_26),T_a_26),V_x_23,T_a_26,T_a_26),c_Tarski_Opotype_Oorder(V_cl_8,T_a_26,tc_Product__Type_Ounit),tc_prod(T_a_26,T_a_26))
| ~ c_lessequals(V_S_24,c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl_8,T_a_26),T_a_26,tc_Product__Type_Ounit),tc_set(T_a_26))
| ~ c_in(c_Tarski_Odual(V_cl_8,T_a_26),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a_26,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(V_cl_8,T_a_26),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a_26,tc_Product__Type_Ounit))
| ~ c_in(V_x_23,V_S_24,T_a_26) ),
inference(resolution,[status(thm)],[c_50,c_12]) ).
tff(c_66,plain,
! [V_S_27,V_cl_28,T_a_29,V_x_30] :
( c_in(c_Pair(c_Tarski_Oglb(V_S_27,V_cl_28,T_a_29),V_x_30,T_a_29,T_a_29),c_Tarski_Opotype_Oorder(V_cl_28,T_a_29,tc_Product__Type_Ounit),tc_prod(T_a_29,T_a_29))
| ~ c_lessequals(V_S_27,c_Tarski_Opotype_Opset(V_cl_28,T_a_29,tc_Product__Type_Ounit),tc_set(T_a_29))
| ~ c_in(c_Tarski_Odual(V_cl_28,T_a_29),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a_29,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(V_cl_28,T_a_29),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a_29,tc_Product__Type_Ounit))
| ~ c_in(V_x_30,V_S_27,T_a_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_54]) ).
tff(c_73,plain,
! [V_S_27,V_x_30] :
( c_in(c_Pair(c_Tarski_Oglb(V_S_27,v_cl,t_a),V_x_30,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S_27,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),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))
| ~ c_in(V_x_30,V_S_27,t_a) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_66]) ).
tff(c_78,plain,
! [V_S_31,V_x_32] :
( c_in(c_Pair(c_Tarski_Oglb(V_S_31,v_cl,t_a),V_x_32,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(V_S_31,v_A,tc_set(t_a))
| ~ c_in(V_x_32,V_S_31,t_a) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_8,c_73]) ).
tff(c_6,plain,
~ c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_81,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_x,v_S,t_a) ),
inference(resolution,[status(thm)],[c_78,c_6]) ).
tff(c_85,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT268-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 12:52:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.84/1.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.84/1.75
% 2.84/1.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.06/1.79
% 3.06/1.79 Inference rules
% 3.06/1.79 ----------------------
% 3.06/1.79 #Ref : 0
% 3.06/1.79 #Sup : 14
% 3.06/1.79 #Fact : 0
% 3.06/1.79 #Define : 0
% 3.06/1.79 #Split : 1
% 3.06/1.79 #Chain : 0
% 3.06/1.79 #Close : 0
% 3.06/1.79
% 3.06/1.79 Ordering : KBO
% 3.06/1.79
% 3.06/1.79 Simplification rules
% 3.06/1.79 ----------------------
% 3.06/1.79 #Subsume : 0
% 3.06/1.79 #Demod : 10
% 3.06/1.79 #Tautology : 8
% 3.06/1.79 #SimpNegUnit : 0
% 3.06/1.79 #BackRed : 0
% 3.06/1.79
% 3.06/1.79 #Partial instantiations: 0
% 3.06/1.79 #Strategies tried : 1
% 3.06/1.79
% 3.06/1.79 Timing (in seconds)
% 3.06/1.79 ----------------------
% 3.06/1.79 Preprocessing : 0.43
% 3.06/1.79 Parsing : 0.24
% 3.06/1.79 CNF conversion : 0.02
% 3.06/1.79 Main loop : 0.22
% 3.06/1.79 Inferencing : 0.09
% 3.06/1.79 Reduction : 0.06
% 3.06/1.79 Demodulation : 0.05
% 3.06/1.79 BG Simplification : 0.01
% 3.06/1.79 Subsumption : 0.04
% 3.06/1.79 Abstraction : 0.01
% 3.06/1.79 MUC search : 0.00
% 3.06/1.79 Cooper : 0.00
% 3.06/1.79 Total : 0.71
% 3.06/1.79 Index Insertion : 0.00
% 3.06/1.79 Index Deletion : 0.00
% 3.06/1.79 Index Matching : 0.00
% 3.06/1.79 BG Taut test : 0.00
%------------------------------------------------------------------------------