TSTP Solution File: SYN563-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN563-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 21 12:01:43 EDT 2022
% Result : Unsatisfiable 1.21s 1.39s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 10 RR)
% Number of literals : 23 ( 22 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 27 ( 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(p2_1,negated_conjecture,
p2(X,X) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p6_2,negated_conjecture,
p6(X,X) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_2) ).
cnf(p2_4,negated_conjecture,
p2(f4(c7),f4(c8)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p5_7,negated_conjecture,
p5(f3(f3(X)),f3(f4(X))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_7) ).
cnf(p6_9,negated_conjecture,
ifeq2(p6(c7,X),true,p6(c7,f3(X)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_9) ).
cnf(p6_10,negated_conjecture,
ifeq2(p5(X,Y),true,p6(f4(X),Y),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_10) ).
cnf(p2_11,negated_conjecture,
ifeq2(p2(X,Y),true,p2(f3(X),f3(Y)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
cnf(p5_15,negated_conjecture,
ifeq2(p6(X,Y),true,ifeq2(p5(Y,Z),true,p5(X,Z),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_15) ).
cnf(p5_17,negated_conjecture,
ifeq2(p2(X,Y),true,ifeq2(p2(Z,U),true,ifeq2(p5(X,Z),true,p5(Y,U),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_17) ).
cnf(not_p6_5,negated_conjecture,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_5) ).
cnf(goal,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(25,plain,
p6(c7,f3(c7)) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[p6_9,p6_2,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(27,plain,
p2(f3(f4(c7)),f3(f4(c8))) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[p2_11,p2_4,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(42,plain,
ifeq2(p6(X,f3(f3(Y))),true,p5(X,f3(f4(Y))),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[p5_15,p5_7,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(51,plain,
ifeq2(p2(X,Y),true,ifeq2(p5(Z,X),true,p5(Z,Y),true),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[p5_17,p2_1,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(63,plain,
p6(c7,f3(f3(c7))) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[p6_9,25,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(569,plain,
p5(c7,f3(f4(c7))) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[42,63,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(2310,plain,
ifeq2(p2(f3(f4(c7)),X),true,p5(c7,X),true) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[51,569,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(4116,plain,
p5(c7,f3(f4(c8))) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2310,27,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(4118,plain,
p6(f4(c7),f3(f4(c8))) = true,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[p6_10,4116,theory(equality)]),ifeq_axiom,theory(equality)]) ).
cnf(4119,plain,
$false,
inference('REWRITE',[status(thm)],[not_p6_5,goal,ifeq_axiom_001,4118,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN563-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 14:37:47 EDT 2022
% 0.14/0.34 % 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 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:37:47
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-11T14:37:47
% 1.21/1.39
% 1.21/1.39
% 1.21/1.39 #||
% 1.21/1.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.21/1.39 % SZS output start Refutation
% See solution above
% 1.31/1.47 ||#
% 1.31/1.47
% 1.31/1.47 ; Summary of computation:
% 1.31/1.47 ; 8127 formulas have been input or derived (from 453 formulas).
% 1.31/1.47 ; 4119 (51%) were retained. Of these,
% 1.31/1.47 ; 64 ( 2%) were simplified or subsumed later,
% 1.31/1.47 ; 4055 (98%) are still being kept.
% 1.31/1.47 ;
% 1.31/1.47 ; Run time in seconds excluding printing time:
% 1.31/1.47 ; 0.004 0% Read assertion file (1 call)
% 1.31/1.47 ; 0.001 0% Assert (20 calls)
% 1.31/1.47 ; 0.410 45% Process new row (8,074 calls)
% 1.31/1.47 ; 0.027 3% Resolution (904 calls)
% 1.31/1.47 ; 0.107 12% Paramodulation (452 calls)
% 1.31/1.47 ; 0.217 24% Forward simplification (8,073 calls)
% 1.31/1.47 ; 0.075 8% Backward simplification (4,119 calls)
% 1.31/1.47 ; 0.021 2% Ordering (15,050 calls)
% 1.31/1.47 ; 0.000 0% Sortal reasoning (32 calls)
% 1.31/1.47 ; 0.000 0% Purity testing (1 call)
% 1.31/1.47 ; 0.058 6% Other
% 1.31/1.47 ; 0.920 Total
% 1.31/1.47 ; 0.998 Real time
% 1.31/1.47 ;
% 1.31/1.47 ; Term-hash-array has 10,454 terms in all.
% 1.31/1.47 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.31/1.47 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.31/1.47 ; Path-index has 10,327 entries (10,331 at peak, 10,459 added, 132 deleted).
% 1.31/1.47 ; Path-index has 5,164 nodes (5,166 at peak, 5,209 added, 45 deleted).
% 1.31/1.47 ; Trie-index has 10,327 entries (10,331 at peak, 10,459 added, 132 deleted).
% 1.31/1.47 ; Trie-index has 54,767 nodes (54,789 at peak, 55,588 added, 821 deleted).
% 1.31/1.47 ; Retrieved 32,129 generalization terms in 31,631 calls.
% 1.31/1.47 ; Retrieved 4,771 instance terms in 4,118 calls.
% 1.31/1.47 ; Retrieved 12,581 unifiable terms in 4,365 calls.
% 1.31/1.47 ;
% 1.31/1.47 ; The agenda of backward simplifiable rows to process has 1 entry:
% 1.31/1.47 ; 1 with value 0
% 1.31/1.47 ; The agenda of rows to process has 16 entries:
% 1.31/1.47 ; 4 with value 23 1 with value 27 4 with value 29
% 1.31/1.47 ; 3 with value 24 2 with value 28 2 with value 35
% 1.31/1.47 ; The agenda of rows to give has 3607 entries:
% 1.31/1.47 ; 1 with value (4 18) 369 with value (4 28) 155 with value (4 35)
% 1.31/1.47 ; 24 with value (4 22) 391 with value (4 29) 61 with value (4 36)
% 1.31/1.47 ; 165 with value (4 23) 474 with value (4 30) 81 with value (4 37)
% 1.31/1.47 ; 198 with value (4 24) 108 with value (4 31) 30 with value (4 38)
% 1.31/1.47 ; 273 with value (4 25) 130 with value (4 32) 36 with value (4 39)
% 1.31/1.47 ; 235 with value (4 26) 164 with value (4 33) 50 with value (4 40)
% 1.31/1.47 ; 391 with value (4 27) 245 with value (4 34) 26 with value (4 41)
% 1.31/1.47 Evaluation took:
% 1.31/1.47 0.999 seconds of real time
% 1.31/1.47 0.911681 seconds of user run time
% 1.31/1.47 0.086891 seconds of system run time
% 1.31/1.47 [Run times include 0.162 seconds GC run time.]
% 1.31/1.47 0 calls to %EVAL
% 1.31/1.47 0 page faults and
% 1.31/1.47 64,448,872 bytes consed.
% 1.31/1.47 :PROOF-FOUND
% 1.31/1.47 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:37:48
% 1.31/1.47 :PROOF-FOUND
% 1.31/1.47 *
%------------------------------------------------------------------------------