TSTP Solution File: LAT268-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 : 600s
% DateTime : Sun Jul 17 06:43:10 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_Tarski_Odual_Acl_A_58_APaTarski_OA_A_61_61_Apset_Acl_0)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(X,X,Y,Z) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_x,v_S,t_a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
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)) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(cls_Tarski_OCL_Olub__upper_0,axiom,
ifeq(c_lessequals(X,c_Tarski_Opotype_Opset(Y,Z,tc_Product__Type_Ounit),tc_set(Z)),true,ifeq(c_in(Y,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(Z,tc_Product__Type_Ounit)),true,ifeq(c_in(Y,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(Z,tc_Product__Type_Ounit)),true,ifeq(c_in(U,X,Z),true,c_in(c_Pair(U,c_Tarski_Olub(X,Y,Z),Z,Z),c_Tarski_Opotype_Oorder(Y,Z,tc_Product__Type_Ounit),tc_prod(Z,Z)),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__upper_0) ).
cnf(cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0,axiom,
ifeq(c_in(c_Pair(X,Y,Z,Z),c_Tarski_Opotype_Oorder(c_Tarski_Odual(U,Z),Z,tc_Product__Type_Ounit),tc_prod(Z,Z)),true,c_in(c_Pair(Y,X,Z,Z),c_Tarski_Opotype_Oorder(U,Z,tc_Product__Type_Ounit),tc_prod(Z,Z)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0) ).
cnf(cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0,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)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
cnf(cls_Tarski_Odual_Acl_A_58_APartialOrder_0,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)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
cnf(cls_Tarski_Oglb__dual__lub_0,axiom,
c_Tarski_Oglb(X,Y,Z) = c_Tarski_Olub(X,c_Tarski_Odual(Y,Z),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
cnf(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,
c_Tarski_Opotype_Opset(c_Tarski_Odual(X,Y),Y,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X,Y,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
cnf(13,plain,
ifeq(c_in(c_Pair(X,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)),true,c_in(c_Pair(Y,X,t_a,t_a),v_r,tc_prod(t_a,t_a)),true) = true,
inference('PARAMODULATE',[status(thm)],[cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0,cls_Tarski_Or_A_61_61_Aorder_Acl_0,theory(equality)]) ).
cnf(16,plain,
ifeq(c_lessequals(X,v_A,tc_set(t_a)),true,ifeq(c_in(Y,X,t_a),true,c_in(c_Pair(Y,c_Tarski_Oglb(X,v_cl,t_a),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)),true),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_Tarski_OCL_Olub__upper_0,cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0,theory(equality)]),ifeq_axiom,cls_Tarski_Oglb__dual__lub_0,cls_Tarski_Odual_Acl_A_58_APartialOrder_0,cls_Tarski_OA_A_61_61_Apset_Acl_0,cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,theory(equality)]) ).
cnf(21,plain,
c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,v_cl,t_a),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)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,cls_conjecture_1,theory(equality)]),ifeq_axiom,cls_conjecture_0,theory(equality)]) ).
cnf(22,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,21,theory(equality)]),cls_conjecture_2,ifeq_axiom,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n011.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 : 600
% 0.13/0.34 % DateTime : Wed Jun 29 19:32:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T19:32:17
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-29T19:32:17
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 43 formulas have been input or derived (from 16 formulas).
% 0.20/0.52 ; 22 (51%) were retained. Of these,
% 0.20/0.52 ; 22 (100%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.003 8% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (12 calls)
% 0.20/0.52 ; 0.004 11% Process new row (40 calls)
% 0.20/0.52 ; 0.000 0% Resolution (30 calls)
% 0.20/0.52 ; 0.002 5% Paramodulation (15 calls)
% 0.20/0.52 ; 0.001 3% Forward simplification (40 calls)
% 0.20/0.52 ; 0.003 8% Backward simplification (22 calls)
% 0.20/0.52 ; 0.000 0% Ordering (103 calls)
% 0.20/0.52 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.023 61% Other
% 0.20/0.52 ; 0.038 Total
% 0.20/0.52 ; 0.043 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 134 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Path-index has 144 entries (144 at peak, 144 added, 0 deleted).
% 0.20/0.52 ; Path-index has 1,326 nodes (1,326 at peak, 1,326 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 144 entries (144 at peak, 144 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 1,873 nodes (1,873 at peak, 1,873 added, 0 deleted).
% 0.20/0.52 ; Retrieved 65 generalization terms in 172 calls.
% 0.20/0.52 ; Retrieved 21 instance terms in 21 calls.
% 0.20/0.52 ; Retrieved 63 unifiable terms in 163 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 3 entries:
% 0.20/0.52 ; 1 with value 30 1 with value 35 1 with value 101
% 0.20/0.52 ; The agenda of rows to give has 6 entries:
% 0.20/0.52 ; 1 with value (4 34) 1 with value (4 57) 2 with value (4 78)
% 0.20/0.52 ; 1 with value (4 55) 1 with value (4 69)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.043 seconds of real time
% 0.20/0.52 0.031264 seconds of user run time
% 0.20/0.52 0.010676 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,451,544 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T19:32:17
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------