TSTP Solution File: LAT269-2 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT269-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 : Thu Aug 31 06:00:22 EDT 2023
% Result : Unsatisfiable 0.20s 0.56s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 23
% Syntax : Number of formulae : 32 ( 10 unt; 17 typ; 0 def)
% Number of atoms : 25 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 7 >; 15 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-5 aty)
% Number of variables : 7 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v_intY1: $i ).
tff(decl_23,type,
v_r: $i ).
tff(decl_24,type,
t_a: $i ).
tff(decl_25,type,
c_Tarski_Oinduced: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_Product__Type_OUnity: $i ).
tff(decl_27,type,
tc_Product__Type_Ounit: $i ).
tff(decl_28,type,
c_Tarski_Opotype_Opotype__ext: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_29,type,
c_Tarski_OCompleteLattice: $i ).
tff(decl_30,type,
tc_Tarski_Opotype_Opotype__ext__type: ( $i * $i ) > $i ).
tff(decl_31,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
v_cl: $i ).
tff(decl_33,type,
c_Tarski_OTop: ( $i * $i ) > $i ).
tff(decl_34,type,
v_A: $i ).
tff(decl_35,type,
c_Tarski_Ointerval: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
c_emptyset: $i ).
tff(decl_37,type,
v_Y: $i ).
tff(decl_38,type,
c_Tarski_Olub: ( $i * $i * $i ) > $i ).
cnf(cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0,axiom,
( c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X2,X1,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X2,X1,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_Tarski_Ointerval(v_r,X2,X1,t_a) = c_emptyset
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X2,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0) ).
cnf(cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0,axiom,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0) ).
cnf(cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0,axiom,
( ~ c_in(X1,v_A,t_a)
| c_Tarski_Ointerval(v_r,X1,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0) ).
cnf(cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0,axiom,
v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0) ).
cnf(cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0,axiom,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_6,axiom,
( c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X2,X1,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X2,X1,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_Tarski_Ointerval(v_r,X2,X1,t_a) = c_emptyset
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X2,v_A,t_a) ),
cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0 ).
cnf(c_0_7,axiom,
c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a),
cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0 ).
cnf(c_0_8,axiom,
( ~ c_in(X1,v_A,t_a)
| c_Tarski_Ointerval(v_r,X1,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset ),
cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0 ).
cnf(c_0_9,axiom,
v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a),
cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0 ).
cnf(c_0_10,plain,
( c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),X1,t_a) = c_emptyset
| c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),X1,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),X1,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X1,v_A,t_a) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,axiom,
c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a),
cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0 ).
cnf(c_0_12,plain,
c_emptyset != v_intY1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7])]) ).
cnf(c_0_13,negated_conjecture,
~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
cls_conjecture_0 ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9]),c_0_9]),c_0_9]),c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT269-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n031.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 24 10:22:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.20/0.56 % Version : CSE_E---1.5
% 0.20/0.56 % Problem : theBenchmark.p
% 0.20/0.56 % Proof found
% 0.20/0.56 % SZS status Theorem for theBenchmark.p
% 0.20/0.56 % SZS output start Proof
% See solution above
% 0.20/0.56 % Total time : 0.004000 s
% 0.20/0.56 % SZS output end Proof
% 0.20/0.56 % Total time : 0.007000 s
%------------------------------------------------------------------------------