%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX186-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 : Tue May 5 07:07:10 PM UTC 2026
% Result : Unsatisfiable 0.28s 0.50s
% Output : Refutation 0.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named axory(exiom_011)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom,axiom,
impl(btrue,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
cnf(axiom_002,axiom,
drop(s(X),nil) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
cnf(axiom_003,axiom,
drop(s(X),cons(Y,Z)) = drop(X,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
cnf(axiom_005,axiom,
prop_drop_inj2(X,Y,Z) = impl(eq(drop(X,Y),drop(X,Z)),eq(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
cnf(axiom_011,axiom,
eq(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
cnf(axiom_013,axiom,
eq3(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
cnf(axiom_016,axiom,
eq(nil,cons(X,Y)) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).
cnf(goal,negated_conjecture,
eq3(prop_drop_inj2(X,Y,Z),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(20,plain,
eq3(impl(eq(drop(X,Y),drop(X,Z)),eq(Y,Z)),bfalse) != btrue,
inference('REWRITE',[status(thm)],[goal,axiom_005,theory(equality)]) ).
cnf(27,plain,
eq3(impl(eq(nil,drop(s(X),Y)),eq(nil,Y)),bfalse) != btrue,
inference('PARAMODULATE',[status(thm)],[20,axiom_002,theory(equality)]) ).
cnf(38,plain,
eq3(impl(eq(nil,drop(X,Y)),bfalse),bfalse) != btrue,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[27,axiom_003,theory(equality)]),axiom_016,theory(equality)]) ).
cnf(39,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[38,axiom_002,theory(equality)]),axiom_013,axiom,axiom_011,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWX186-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.15/0.33 % Computer : n015.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 09:38:46 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.45 *
% 0.28/0.45 *
% 0.28/0.46 #<PACKAGE "SNARK-USER">
% 0.28/0.46 *
% 0.28/0.46 SNARK-TPTP-OPTIONS
% 0.28/0.46 *
% 0.28/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.28/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.28/0.46 (USE-FACTORING :POS)
% 0.28/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.28/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.28/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.28/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.28/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.28/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.28/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.28/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.28/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.28/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.28/0.46 *
% 0.28/0.46 "."
% 0.28/0.46 *
% 0.28/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T09:38:46
% 0.28/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2026-05-05T09:38:46
% 0.28/0.47
% 0.28/0.47 ; Recognized left identity assertion (= (|impl| |btrue| ?X) ?X).
% 0.28/0.50 ; Recognized left identity assertion (= (|drop| |z| ?X) ?X).
% 0.28/0.50
% 0.28/0.50 #||
% 0.28/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.50 % SZS output start Refutation
% See solution above
% 0.28/0.50 ||#
% 0.28/0.50
% 0.28/0.50 ; Summary of computation:
% 0.28/0.50 ; 81 formulas have been input or derived (from 27 formulas).
% 0.28/0.50 ; 39 (48%) were retained. Of these,
% 0.28/0.50 ; 2 ( 5%) were simplified or subsumed later,
% 0.28/0.50 ; 37 (95%) are still being kept.
% 0.28/0.50 ;
% 0.28/0.50 ; Run time in seconds excluding printing time:
% 0.28/0.50 ; 0.002 5% Read assertion file (1 call)
% 0.28/0.50 ; 0.000 0% Assert (19 calls)
% 0.28/0.50 ; 0.006 16% Process new row (75 calls)
% 0.28/0.50 ; 0.001 3% Resolution (52 calls)
% 0.28/0.50 ; 0.001 3% Paramodulation (26 calls)
% 0.28/0.50 ; 0.001 3% Condensing (5 calls)
% 0.28/0.50 ; 0.001 3% Forward subsumption (5 calls)
% 0.28/0.50 ; 0.000 0% Backward subsumption (5 calls)
% 0.28/0.50 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.28/0.50 ; 0.001 3% Forward simplification (75 calls)
% 0.28/0.50 ; 0.001 3% Backward simplification (38 calls)
% 0.28/0.50 ; 0.000 0% Ordering (161 calls)
% 0.28/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.28/0.50 ; 0.000 0% Purity testing (1 call)
% 0.28/0.50 ; 0.023 62% Other
% 0.28/0.50 ; 0.037 Total
% 0.28/0.50 ; 0.039 Real time
% 0.28/0.50 ;
% 0.28/0.50 ; Term-hash-array has 132 terms in all.
% 0.28/0.50 ; Feature-vector-row-index has 4 entries (4 at peak, 5 added, 1 deleted).
% 0.28/0.50 ; Feature-vector-row-index has 34 nodes (35 at peak, 44 added, 10 deleted).
% 0.28/0.50 ; Retrieved 2 possibly forward subsuming rows in 5 calls.
% 0.28/0.50 ; Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.28/0.50 ; Path-index has 135 entries (135 at peak, 137 added, 2 deleted).
% 0.28/0.50 ; Path-index has 390 nodes (390 at peak, 390 added, 0 deleted).
% 0.28/0.50 ; Trie-index has 135 entries (135 at peak, 137 added, 2 deleted).
% 0.28/0.50 ; Trie-index has 559 nodes (559 at peak, 559 added, 0 deleted).
% 0.28/0.50 ; Retrieved 115 generalization terms in 181 calls.
% 0.28/0.50 ; Retrieved 45 instance terms in 32 calls.
% 0.28/0.50 ; Retrieved 191 unifiable terms in 166 calls.
% 0.28/0.50 ;
% 0.28/0.50 ; The agenda of rows to process has 2 entries:
% 0.28/0.50 ; 1 with value 16 1 with value 19
% 0.28/0.50 ; The agenda of rows to give has 10 entries:
% 0.28/0.50 ; 1 with value (4 21) 1 with value (4 23) 3 with value (4 27)
% 0.28/0.50 ; 2 with value (4 22) 3 with value (4 25)
% 0.28/0.50 Evaluation took:
% 0.28/0.50 0.039 seconds of real time
% 0.28/0.50 0.034019 seconds of user run time
% 0.28/0.50 0.004805 seconds of system run time
% 0.28/0.50 0 calls to %EVAL
% 0.28/0.50 0 page faults and
% 0.28/0.50 2,517,952 bytes consed.
% 0.28/0.50 :PROOF-FOUND
% 0.28/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T09:38:46
% 0.28/0.50 :PROOF-FOUND
% 0.28/0.50 *
%------------------------------------------------------------------------------