%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX207-1 : 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 07:07:13 PM UTC 2026
% Result : Unsatisfiable 0.46s 0.66s
% Output : Refutation 0.46s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named axory(equality))
% Comments :
%------------------------------------------------------------------------------
cnf(axiom,axiom,
impl(btrue,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
cnf(axiom_002,axiom,
append(nil,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_002) ).
cnf(axiom_003,axiom,
append(cons(X,Y),Z) = cons(X,append(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
cnf(axiom_006,axiom,
linP(pA) = cons(a,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).
cnf(axiom_008,axiom,
linP(pE) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
cnf(axiom_009,axiom,
linC(c2(X,Y)) = append(linP(X),linP(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).
cnf(axiom_010,axiom,
unambig(X,Y) = impl(eq(linC(X),linC(Y)),eq4(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).
cnf(axiom_014,axiom,
eq3(pA,pE) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_014) ).
cnf(axiom_037,axiom,
( eq3(X,Y) != bfalse
| eq4(c2(X,Z),c2(Y,U)) = bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_037) ).
cnf(axiom_039,axiom,
eq(X,X) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_039) ).
cnf(axiom_043,axiom,
eq5(X,X) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_043) ).
cnf(goal,negated_conjecture,
eq5(unambig(X,Y),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(50,plain,
eq5(impl(eq(linC(X),linC(Y)),eq4(X,Y)),bfalse) != btrue,
inference('REWRITE',[status(thm)],[goal,axiom_010,theory(equality)]) ).
cnf(57,plain,
append(cons(X,nil),Y) = cons(X,Y),
inference('PARAMODULATE',[status(thm)],[axiom_003,axiom_002,theory(equality)]) ).
cnf(70,plain,
eq4(c2(pA,X),c2(pE,Y)) = bfalse,
inference('HYPERRESOLVE',[status(thm)],[axiom_037,axiom_014]) ).
cnf(98,plain,
linP(pA) = append(linP(pA),nil),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[axiom_006,57,theory(equality)]),axiom_006,theory(equality)]) ).
cnf(114,plain,
eq5(impl(eq(append(linP(pA),linP(X)),linP(Y)),bfalse),bfalse) != btrue,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[50,70,theory(equality)]),axiom_002,axiom_008,axiom_009,theory(equality)]) ).
cnf(508,plain,
eq5(impl(eq(linP(pA),linP(X)),bfalse),bfalse) != btrue,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[114,axiom_008,theory(equality)]),98,theory(equality)]) ).
cnf(511,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[508,axiom_039,theory(equality)]),axiom_043,axiom,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX207-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.13 % Command : run-snark %s %d
% 0.16/0.34 % Computer : n006.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % 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 11:36:16 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.46 *
% 0.30/0.46 *
% 0.30/0.47 #<PACKAGE "SNARK-USER">
% 0.30/0.47 *
% 0.30/0.47 SNARK-TPTP-OPTIONS
% 0.30/0.47 *
% 0.30/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.30/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.30/0.47 (USE-FACTORING :POS)
% 0.30/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.30/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.30/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.30/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.30/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.30/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.30/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.30/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.30/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.30/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.30/0.47 *
% 0.30/0.47 "."
% 0.30/0.47 *
% 0.30/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T11:36:16
% 0.30/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2026-05-05T11:36:16
% 0.30/0.49
% 0.30/0.49 ; Recognized left identity assertion (= (|impl| |btrue| ?X) ?X).
% 0.46/0.66 ; Recognized left identity assertion (= (|append| |nil| ?X) ?X).
% 0.46/0.66
% 0.46/0.66 #||
% 0.46/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.66 % SZS output start Refutation
% See solution above
% 0.46/0.67 ||#
% 0.46/0.67
% 0.46/0.67 ; Summary of computation:
% 0.46/0.67 ; 1729 formulas have been input or derived (from 248 formulas).
% 0.46/0.67 ; 511 (30%) were retained. Of these,
% 0.46/0.67 ; 48 ( 9%) were simplified or subsumed later,
% 0.46/0.67 ; 463 (91%) are still being kept.
% 0.46/0.67 ;
% 0.46/0.67 ; Run time in seconds excluding printing time:
% 0.46/0.67 ; 0.006 3% Read assertion file (1 call)
% 0.46/0.67 ; 0.002 1% Assert (49 calls)
% 0.46/0.67 ; 0.050 26% Process new row (1,698 calls)
% 0.46/0.67 ; 0.009 5% Resolution (494 calls)
% 0.46/0.67 ; 0.027 14% Paramodulation (247 calls)
% 0.46/0.67 ; 0.000 0% Condensing (8 calls)
% 0.46/0.67 ; 0.000 0% Forward subsumption (8 calls)
% 0.46/0.67 ; 0.000 0% Backward subsumption (8 calls)
% 0.46/0.67 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.46/0.67 ; 0.028 15% Forward simplification (1,674 calls)
% 0.46/0.67 ; 0.010 5% Backward simplification (510 calls)
% 0.46/0.67 ; 0.030 16% Ordering (6,903 calls)
% 0.46/0.67 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.67 ; 0.000 0% Purity testing (1 call)
% 0.46/0.67 ; 0.031 16% Other
% 0.46/0.67 ; 0.193 Total
% 0.46/0.67 ; 0.194 Real time
% 0.46/0.67 ;
% 0.46/0.67 ; Term-hash-array has 1,355 terms in all.
% 0.46/0.67 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.46/0.67 ; Feature-vector-row-index has 56 nodes (56 at peak, 56 added, 0 deleted).
% 0.46/0.67 ; Retrieved 4 possibly forward subsuming rows in 8 calls.
% 0.46/0.67 ; Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.46/0.67 ; Path-index has 1,267 entries (1,267 at peak, 1,385 added, 118 deleted).
% 0.46/0.67 ; Path-index has 1,227 nodes (1,227 at peak, 1,290 added, 63 deleted).
% 0.46/0.67 ; Trie-index has 1,267 entries (1,267 at peak, 1,385 added, 118 deleted).
% 0.46/0.67 ; Trie-index has 5,172 nodes (5,172 at peak, 5,648 added, 476 deleted).
% 0.46/0.67 ; Retrieved 4,395 generalization terms in 8,477 calls.
% 0.46/0.67 ; Retrieved 918 instance terms in 651 calls.
% 0.46/0.67 ; Retrieved 3,088 unifiable terms in 2,033 calls.
% 0.46/0.67 ;
% 0.46/0.67 ; The agenda of rows to process has 4 entries:
% 0.46/0.67 ; 1 with value 15 1 with value 17 1 with value 19
% 0.46/0.67 ; 1 with value 16
% 0.46/0.67 ; The agenda of rows to give has 232 entries:
% 0.46/0.67 ; 1 with value (4 20) 43 with value (4 24) 19 with value (4 28)
% 0.46/0.67 ; 3 with value (4 21) 30 with value (4 25) 13 with value (4 29)
% 0.46/0.67 ; 28 with value (4 22) 23 with value (4 26) 2 with value (4 30)
% 0.46/0.67 ; 40 with value (4 23) 22 with value (4 27) 8 with value (4 31)
% 0.46/0.67 Evaluation took:
% 0.46/0.67 0.195 seconds of real time
% 0.46/0.67 0.168267 seconds of user run time
% 0.46/0.67 0.027426 seconds of system run time
% 0.46/0.67 0 calls to %EVAL
% 0.46/0.67 0 page faults and
% 0.46/0.67 11,730,384 bytes consed.
% 0.46/0.67 :PROOF-FOUND
% 0.46/0.67 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-05T11:36:16
% 0.46/0.67 :PROOF-FOUND
% 0.46/0.67 *
%------------------------------------------------------------------------------