TSTP Solution File: LAT278-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT278-2 : 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 : n032.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 10:46:37 EDT 2023
% Result : Unsatisfiable 2.18s 1.50s
% Output : CNFRefutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of formulae : 24 ( 10 unt; 11 typ; 0 def)
% Number of atoms : 16 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 5 >; 9 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 4 (; 4 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Relation_Orefl > c_Tarski_Opotype_Opset > c_Tarski_Opotype_Oorder > tc_Tarski_Opotype_Opotype__ext__type > #nlpp > v_r > v_cl > v_A > tc_Product__Type_Ounit > t_a > c_Tarski_OPartialOrder
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Tarski_Opotype_Opset,type,
c_Tarski_Opotype_Opset: ( $i * $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(v_cl,type,
v_cl: $i ).
tff(tc_Product__Type_Ounit,type,
tc_Product__Type_Ounit: $i ).
tff(c_Relation_Orefl,type,
c_Relation_Orefl: ( $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(v_r,type,
v_r: $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(f_27,axiom,
~ c_Relation_Orefl(v_A,v_r,t_a),
file(unknown,unknown) ).
tff(f_34,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file(unknown,unknown) ).
tff(f_28,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file(unknown,unknown) ).
tff(f_35,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file(unknown,unknown) ).
tff(f_33,axiom,
! [V_P,T_a] :
( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P,T_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ),
file(unknown,unknown) ).
tff(c_2,plain,
~ c_Relation_Orefl(v_A,v_r,t_a),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_8,plain,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_4,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_10,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_19,plain,
! [V_P_3,T_a_4] :
( c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P_3,T_a_4,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_P_3,T_a_4,tc_Product__Type_Ounit),T_a_4)
| ~ c_in(V_P_3,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a_4,tc_Product__Type_Ounit)) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_22,plain,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a)
| ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_19]) ).
tff(c_27,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_22]) ).
tff(c_29,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT278-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % 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
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Aug 3 12:44:36 EDT 2023
% 0.11/0.32 % CPUTime :
% 2.18/1.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.18/1.50
% 2.18/1.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.18/1.54
% 2.18/1.54 Inference rules
% 2.18/1.54 ----------------------
% 2.18/1.54 #Ref : 0
% 2.18/1.54 #Sup : 6
% 2.18/1.54 #Fact : 0
% 2.18/1.54 #Define : 0
% 2.18/1.54 #Split : 0
% 2.18/1.54 #Chain : 0
% 2.18/1.54 #Close : 0
% 2.18/1.54
% 2.18/1.54 Ordering : KBO
% 2.18/1.54
% 2.18/1.54 Simplification rules
% 2.18/1.54 ----------------------
% 2.18/1.54 #Subsume : 0
% 2.18/1.54 #Demod : 2
% 2.18/1.54 #Tautology : 4
% 2.18/1.54 #SimpNegUnit : 1
% 2.18/1.54 #BackRed : 0
% 2.18/1.54
% 2.18/1.54 #Partial instantiations: 0
% 2.18/1.54 #Strategies tried : 1
% 2.18/1.54
% 2.18/1.54 Timing (in seconds)
% 2.18/1.54 ----------------------
% 2.18/1.54 Preprocessing : 0.40
% 2.18/1.54 Parsing : 0.22
% 2.18/1.54 CNF conversion : 0.02
% 2.18/1.54 Main loop : 0.13
% 2.18/1.54 Inferencing : 0.06
% 2.18/1.54 Reduction : 0.03
% 2.18/1.54 Demodulation : 0.02
% 2.18/1.54 BG Simplification : 0.01
% 2.18/1.54 Subsumption : 0.02
% 2.18/1.54 Abstraction : 0.01
% 2.18/1.54 MUC search : 0.00
% 2.18/1.54 Cooper : 0.00
% 2.18/1.54 Total : 0.58
% 2.18/1.54 Index Insertion : 0.00
% 2.18/1.54 Index Deletion : 0.00
% 2.18/1.54 Index Matching : 0.00
% 2.18/1.54 BG Taut test : 0.00
%------------------------------------------------------------------------------