%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX200-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 07:07:12 PM UTC 2026
% Result : Unsatisfiable 0.30s 0.50s
% Output : Refutation 0.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named axiom_ory(equam_022)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_003,axiom,
aux2(X,Y,Z,bfalse) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
cnf(axiom_005,axiom,
leqNat(s(X),z) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
cnf(axiom_007,axiom,
merge(nil,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
cnf(axiom_010,axiom,
ord(nil) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).
cnf(axiom_012,axiom,
ord(cons(X,cons(Y,Z))) = aux2(X,Y,Z,leqNat(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).
cnf(axiom_013,axiom,
impl(btrue,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
cnf(axiom_015,axiom,
prop_merge_ord_not3(X,Y) = impl(eq2(ord(X),btrue),impl(eq2(ord(Y),bfalse),eq2(ord(merge(X,Y)),btrue))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
cnf(axiom_016,axiom,
eq2(bfalse,btrue) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
cnf(axiom_022,axiom,
eq2(X,X) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_022) ).
cnf(goal,negated_conjecture,
eq2(prop_merge_ord_not3(X,Y),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(25,plain,
eq2(impl(eq2(ord(X),btrue),impl(eq2(ord(Y),bfalse),eq2(ord(merge(X,Y)),btrue))),bfalse) != btrue,
inference('REWRITE',[status(thm)],[goal,axiom_015,theory(equality)]) ).
cnf(27,plain,
ord(cons(s(X),cons(z,Y))) = bfalse,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[axiom_012,axiom_005,theory(equality)]),axiom_003,theory(equality)]) ).
cnf(32,plain,
eq2(impl(eq2(ord(X),bfalse),eq2(ord(X),btrue)),bfalse) != btrue,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[25,axiom_007,theory(equality)]),axiom_013,axiom_022,axiom_010,theory(equality)]) ).
cnf(39,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[32,27,theory(equality)]),axiom_013,axiom_016,axiom_022,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWX200-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.16/0.33 % Computer : n006.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 11:15:46 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T11:15:46
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2026-05-05T11:15:46
% 0.30/0.48
% 0.30/0.48 ; Recognized left identity assertion (= (|merge| |nil| ?X) ?X).
% 0.30/0.50 ; Recognized left identity assertion (= (|impl| |btrue| ?X) ?X).
% 0.30/0.50
% 0.30/0.50 #||
% 0.30/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.50 % SZS output start Refutation
% See solution above
% 0.30/0.51 ||#
% 0.30/0.51
% 0.30/0.51 ; Summary of computation:
% 0.30/0.51 ; 75 formulas have been input or derived (from 30 formulas).
% 0.30/0.51 ; 39 (52%) were retained. Of these,
% 0.30/0.51 ; 1 ( 3%) were simplified or subsumed later,
% 0.30/0.51 ; 38 (97%) are still being kept.
% 0.30/0.51 ;
% 0.30/0.51 ; Run time in seconds excluding printing time:
% 0.30/0.51 ; 0.004 11% Read assertion file (1 call)
% 0.30/0.51 ; 0.001 3% Assert (24 calls)
% 0.30/0.51 ; 0.001 3% Process new row (71 calls)
% 0.30/0.51 ; 0.000 0% Resolution (58 calls)
% 0.30/0.51 ; 0.003 8% Paramodulation (29 calls)
% 0.30/0.51 ; 0.001 3% Forward simplification (71 calls)
% 0.30/0.51 ; 0.003 8% Backward simplification (38 calls)
% 0.30/0.51 ; 0.002 5% Ordering (174 calls)
% 0.30/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.30/0.51 ; 0.000 0% Purity testing (1 call)
% 0.30/0.51 ; 0.022 59% Other
% 0.30/0.51 ; 0.037 Total
% 0.30/0.51 ; 0.040 Real time
% 0.30/0.51 ;
% 0.30/0.51 ; Term-hash-array has 144 terms in all.
% 0.30/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.30/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.30/0.51 ; Path-index has 148 entries (148 at peak, 148 added, 0 deleted).
% 0.30/0.51 ; Path-index has 673 nodes (673 at peak, 673 added, 0 deleted).
% 0.30/0.51 ; Trie-index has 148 entries (148 at peak, 148 added, 0 deleted).
% 0.30/0.51 ; Trie-index has 706 nodes (706 at peak, 706 added, 0 deleted).
% 0.30/0.51 ; Retrieved 89 generalization terms in 189 calls.
% 0.30/0.51 ; Retrieved 46 instance terms in 37 calls.
% 0.30/0.51 ; Retrieved 133 unifiable terms in 175 calls.
% 0.30/0.51 ;
% 0.30/0.51 ; The agenda of rows to process has 1 entry:
% 0.30/0.51 ; 1 with value 25
% 0.30/0.51 ; The agenda of rows to give has 8 entries:
% 0.30/0.51 ; 1 with value (4 20) 1 with value (4 24) 1 with value (4 30)
% 0.30/0.51 ; 1 with value (4 23) 2 with value (4 25) 2 with value (4 37)
% 0.30/0.51 Evaluation took:
% 0.30/0.51 0.04 seconds of real time
% 0.30/0.51 0.032442 seconds of user run time
% 0.30/0.51 0.00748 seconds of system run time
% 0.30/0.51 0 calls to %EVAL
% 0.30/0.51 0 page faults and
% 0.30/0.51 2,693,672 bytes consed.
% 0.30/0.51 :PROOF-FOUND
% 0.30/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T11:15:46
% 0.30/0.51 :PROOF-FOUND
% 0.30/0.51 *
%------------------------------------------------------------------------------