TSTP Solution File: ALG069-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG069-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 : Thu Jul 14 17:59:47 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 10 RR)
% Number of literals : 18 ( 17 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-4 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq2(X,X,Y,Z) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X,X,Y,Z) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(ax3_1,axiom,
ifeq(sorti1(X),true,sorti1(sK2_ax3_V(X)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_1) ).
cnf(ax3,axiom,
ifeq2(sorti1(X),true,op1(sK2_ax3_V(X),sK2_ax3_V(X)),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(ax4_1,axiom,
tuple(op2(X,X),sorti2(X)) != tuple(sK1_ax4_U,true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_1) ).
cnf(ax4,axiom,
sorti2(sK1_ax4_U) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(co1,negated_conjecture,
ifeq(sorti1(X),true,sorti2(h(X)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(co1_1,negated_conjecture,
ifeq2(sorti1(X),true,ifeq2(sorti1(Y),true,op2(h(Y),h(X)),h(op1(Y,X))),h(op1(Y,X))) = h(op1(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(co1_3,negated_conjecture,
ifeq(sorti2(X),true,sorti1(j(X)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
cnf(co1_5,negated_conjecture,
ifeq2(sorti2(X),true,h(j(X)),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(16,plain,
sorti1(j(sK1_ax4_U)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[co1_3,ax4,theory(equality)]),ifeq_axiom_001,theory(equality)]) ).
cnf(17,plain,
h(j(sK1_ax4_U)) = sK1_ax4_U,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[co1_5,ax4,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(22,plain,
sorti1(sK2_ax3_V(j(sK1_ax4_U))) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[ax3_1,16,theory(equality)]),ifeq_axiom_001,theory(equality)]) ).
cnf(23,plain,
op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))) = j(sK1_ax4_U),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[ax3,16,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(28,plain,
sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[co1,22,theory(equality)]),ifeq_axiom_001,theory(equality)]) ).
cnf(36,plain,
tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) != tuple(sK1_ax4_U,true),
inference('PARAMODULATE',[status(thm)],[ax4_1,28,theory(equality)]) ).
cnf(85,plain,
op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) = sK1_ax4_U,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[co1_1,23,theory(equality)]),ifeq_axiom,17,22,theory(equality)]) ).
cnf(86,plain,
$false,
inference('REWRITE',[status(thm)],[36,85,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG069-10 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 08:19:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T08:19:21
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-08T08:19:21
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 140 formulas have been input or derived (from 28 formulas).
% 0.18/0.51 ; 86 (61%) were retained. Of these,
% 0.18/0.51 ; 1 ( 1%) were simplified or subsumed later,
% 0.18/0.51 ; 85 (99%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.003 6% Read assertion file (1 call)
% 0.18/0.51 ; 0.001 2% Assert (14 calls)
% 0.18/0.51 ; 0.011 23% Process new row (139 calls)
% 0.18/0.51 ; 0.001 2% Resolution (54 calls)
% 0.18/0.51 ; 0.002 4% Paramodulation (27 calls)
% 0.18/0.51 ; 0.005 10% Forward simplification (139 calls)
% 0.18/0.51 ; 0.001 2% Backward simplification (86 calls)
% 0.18/0.51 ; 0.001 2% Ordering (291 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.023 48% Other
% 0.18/0.51 ; 0.048 Total
% 0.18/0.51 ; 0.050 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 293 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.51 ; Path-index has 293 entries (295 at peak, 295 added, 2 deleted).
% 0.18/0.51 ; Path-index has 1,396 nodes (1,400 at peak, 1,400 added, 4 deleted).
% 0.18/0.51 ; Trie-index has 293 entries (295 at peak, 295 added, 2 deleted).
% 0.18/0.51 ; Trie-index has 1,620 nodes (1,641 at peak, 1,641 added, 21 deleted).
% 0.18/0.51 ; Retrieved 199 generalization terms in 646 calls.
% 0.18/0.51 ; Retrieved 85 instance terms in 85 calls.
% 0.18/0.51 ; Retrieved 146 unifiable terms in 211 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to give has 57 entries:
% 0.18/0.51 ; 1 with value (4 16) 4 with value (4 22) 2 with value (4 33)
% 0.18/0.51 ; 2 with value (4 17) 2 with value (4 23) 2 with value (4 35)
% 0.18/0.51 ; 4 with value (4 18) 2 with value (4 24) 2 with value (4 36)
% 0.18/0.51 ; 9 with value (4 19) 9 with value (4 25) 2 with value (4 38)
% 0.18/0.51 ; 1 with value (4 20) 5 with value (4 26) 4 with value (4 40)
% 0.18/0.51 ; 4 with value (4 21) 2 with value (4 32)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.051 seconds of real time
% 0.18/0.51 0.045692 seconds of user run time
% 0.18/0.51 0.00512 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 3,721,720 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T08:19:21
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------