TSTP Solution File: PUZ039-10 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ039-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Mon Jul 18 18:26:48 EDT 2022
% Result : Unsatisfiable 0.87s 1.03s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 15 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 2 con; 0-12 aty)
% Number of variables : 87 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(X,X,Y,Z) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(s2_down,axiom,
ifeq(state(X,Y,Z,U,V,W,X1,s2(Y1,Z1),U1,V1,e1(s(Y1),Z1),W1),true,state(X,Y,Z,U,V,W,X1,s2(s(Y1),Z1),U1,V1,e1(Y1,Z1),W1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_down) ).
cnf(s4_right,axiom,
ifeq(state(X,Y,Z,U,V,W,X1,Y1,Z1,s4(U1,V1),e1(U1,s(V1)),W1),true,state(X,Y,Z,U,V,W,X1,Y1,Z1,s4(U1,s(V1)),e1(U1,V1),W1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s4_right) ).
cnf(v3_down,axiom,
ifeq(state(X,Y,Z,v3(U,V),W,X1,Y1,Z1,U1,V1,e1(s(s(U)),V),W1),true,state(X,Y,Z,v3(s(U),V),W,X1,Y1,Z1,U1,V1,e1(U,V),W1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_down) ).
cnf(v4_left,axiom,
ifeq(state(X,Y,Z,U,v4(V,s(W)),X1,Y1,Z1,U1,V1,e1(V,W),e2(s(V),W)),true,state(X,Y,Z,U,v4(V,W),X1,Y1,Z1,U1,V1,e1(V,s(W)),e2(s(V),s(W))),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_left) ).
cnf(h_left,axiom,
ifeq(state(X,Y,Z,U,V,h(W,s(X1)),Y1,Z1,U1,V1,e1(W,X1),W1),true,state(X,Y,Z,U,V,h(W,X1),Y1,Z1,U1,V1,e1(W,s(s(X1))),W1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_left) ).
cnf(swap_blanks,axiom,
ifeq(state(X,Y,Z,U,V,W,X1,Y1,Z1,U1,e1(V1,W1),e2(X2,Y2)),true,state(X,Y,Z,U,V,W,X1,Y1,Z1,U1,e1(X2,Y2),e2(V1,W1)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',swap_blanks) ).
cnf(initial_state,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state) ).
cnf(goal_state,negated_conjecture,
state(X,Y,Z,U,v4(s(s(o)),s(s(o))),V,W,X1,Y1,Z1,U1,V1) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_state) ).
cnf(46,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[v3_down,initial_state,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(51,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[swap_blanks,46,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(65,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[s4_right,51,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(111,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[s2_down,65,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(169,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[swap_blanks,111,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(263,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[h_left,169,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(477,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[v4_left,263,theory(equality)]),goal_state,ifeq_axiom,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ039-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun May 29 00:27:12 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T00:27:12
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-29T00:27:12
% 0.87/1.03
% 0.87/1.03
% 0.87/1.03 #||
% 0.87/1.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/1.03 % SZS output start Refutation
% See solution above
% 0.87/1.04 ||#
% 0.87/1.04
% 0.87/1.04 ; Summary of computation:
% 0.87/1.04 ; 1726 formulas have been input or derived (from 259 formulas).
% 0.87/1.04 ; 477 (28%) were retained. Of these,
% 0.87/1.04 ; 121 (25%) were simplified or subsumed later,
% 0.87/1.04 ; 356 (75%) are still being kept.
% 0.87/1.04 ;
% 0.87/1.04 ; Run time in seconds excluding printing time:
% 0.87/1.04 ; 0.022 4% Read assertion file (1 call)
% 0.87/1.04 ; 0.002 0% Assert (44 calls)
% 0.87/1.04 ; 0.147 27% Process new row (1,725 calls)
% 0.87/1.04 ; 0.020 4% Resolution (516 calls)
% 0.87/1.04 ; 0.155 28% Paramodulation (258 calls)
% 0.87/1.04 ; 0.106 19% Forward simplification (1,725 calls)
% 0.87/1.04 ; 0.035 6% Backward simplification (477 calls)
% 0.87/1.04 ; 0.013 2% Ordering (14,590 calls)
% 0.87/1.04 ; 0.000 0% Sortal reasoning (32 calls)
% 0.87/1.04 ; 0.000 0% Purity testing (1 call)
% 0.87/1.04 ; 0.048 9% Other
% 0.87/1.04 ; 0.548 Total
% 0.87/1.04 ; 0.559 Real time
% 0.87/1.04 ;
% 0.87/1.04 ; Term-hash-array has 1,169 terms in all.
% 0.87/1.04 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.87/1.04 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.87/1.04 ; Path-index has 929 entries (929 at peak, 1,171 added, 242 deleted).
% 0.87/1.04 ; Path-index has 1,308 nodes (1,358 at peak, 7,358 added, 6,050 deleted).
% 0.87/1.04 ; Trie-index has 929 entries (929 at peak, 1,171 added, 242 deleted).
% 0.87/1.04 ; Trie-index has 18,228 nodes (18,353 at peak, 38,083 added, 19,855 deleted).
% 0.87/1.04 ; Retrieved 2,336 generalization terms in 4,529 calls.
% 0.87/1.04 ; Retrieved 490 instance terms in 476 calls.
% 0.87/1.04 ; Retrieved 8,310 unifiable terms in 5,075 calls.
% 0.87/1.04 ;
% 0.87/1.04 ; The agenda of rows to process has 1 entry:
% 0.87/1.04 ; 1 with value 104
% 0.87/1.04 ; The agenda of rows to give has 97 entries:
% 0.87/1.04 ; 90 with value (4 97) 6 with value (4 98) 1 with value (4 100)
% 0.87/1.04 Evaluation took:
% 0.87/1.04 0.559 seconds of real time
% 0.87/1.04 0.51139 seconds of user run time
% 0.87/1.04 0.048086 seconds of system run time
% 0.87/1.04 [Run times include 0.024 seconds GC run time.]
% 0.87/1.04 0 calls to %EVAL
% 0.87/1.04 0 page faults and
% 0.87/1.04 37,827,016 bytes consed.
% 0.87/1.04 :PROOF-FOUND
% 0.87/1.04 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T00:27:13
% 0.87/1.04 :PROOF-FOUND
% 0.87/1.04 *
%------------------------------------------------------------------------------