%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX190-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 07:07:11 PM UTC 2026
% Result : Unsatisfiable 2.04s 2.22s
% Output : Refutation 2.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named axioory(equality9)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_002,axiom,
aux(n(X),Y,bfalse) = x(opt(n(X)),opt(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
cnf(axiom_005,axiom,
fail2(X,Y) = aux(X,Y,eq2(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
cnf(axiom_009,axiom,
fail1(n(X),x2) = fail2(n(X),x2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
cnf(axiom_017,axiom,
fail(X,x2) = fail1(X,x2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
cnf(axiom_043,axiom,
d(n(X)) = n(z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_043) ).
cnf(axiom_044,axiom,
d(x(X,Y)) = x(d(X),d(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_044) ).
cnf(axiom_046,axiom,
d(x2) = n(s(z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_046) ).
cnf(axiom_052,axiom,
opt(x(n(z),X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_052) ).
cnf(axiom_061,axiom,
opt(n(X)) = n(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_061) ).
cnf(axiom_062,axiom,
opt(x2) = x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_062) ).
cnf(axiom_063,axiom,
prop4(X) = eq2(opt(d(X)),opt(d(opt(X)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_063) ).
cnf(axiom_073,axiom,
eq2(n(X),x2) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_073) ).
cnf(axiom_074,axiom,
eq2(x(X,Y),n(Z)) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_074) ).
cnf(axiom_088,axiom,
eq3(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_088) ).
cnf(goal,negated_conjecture,
eq3(prop4(X),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(92,plain,
aux(n(X),Y,bfalse) = x(n(X),opt(Y)),
inference('REWRITE',[status(thm)],[axiom_002,axiom_061,theory(equality)]) ).
cnf(98,plain,
fail(n(X),x2) = fail2(n(X),x2),
inference('REWRITE',[status(thm)],[axiom_009,axiom_017,theory(equality)]) ).
cnf(103,plain,
d(d(n(X))) = d(n(X)),
inference('PARAMODULATE',[status(thm)],[axiom_043,axiom_043,theory(equality)]) ).
cnf(104,plain,
d(d(x2)) = n(z),
inference('PARAMODULATE',[status(thm)],[axiom_043,axiom_046,theory(equality)]) ).
cnf(109,plain,
d(n(X)) = d(d(x2)),
inference('REWRITE',[status(thm)],[axiom_043,104,theory(equality)]) ).
cnf(110,plain,
d(d(d(x2))) = d(d(x2)),
inference('REWRITE',[status(thm)],[103,109,theory(equality)]) ).
cnf(111,plain,
opt(x(d(d(x2)),X)) = X,
inference('REWRITE',[status(thm)],[axiom_052,104,theory(equality)]) ).
cnf(114,plain,
eq2(d(x2),x2) = bfalse,
inference('PARAMODULATE',[status(thm)],[axiom_073,axiom_046,theory(equality)]) ).
cnf(119,plain,
eq2(x(X,Y),d(x2)) = bfalse,
inference('PARAMODULATE',[status(thm)],[axiom_074,axiom_046,theory(equality)]) ).
cnf(139,plain,
fail(d(x2),x2) = fail2(d(x2),x2),
inference('PARAMODULATE',[status(thm)],[98,axiom_046,theory(equality)]) ).
cnf(181,plain,
opt(d(x(d(x2),X))) = d(X),
inference('PARAMODULATE',[status(thm)],[111,axiom_044,theory(equality)]) ).
cnf(196,plain,
aux(d(x2),X,bfalse) = x(d(x2),opt(X)),
inference('PARAMODULATE',[status(thm)],[92,axiom_046,theory(equality)]) ).
cnf(214,plain,
prop4(x(d(d(x2)),X)) = eq2(opt(d(x(d(d(x2)),X))),opt(d(X))),
inference('PARAMODULATE',[status(thm)],[axiom_063,111,theory(equality)]) ).
cnf(335,plain,
fail(d(x2),x2) = x(d(x2),x2),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[axiom_005,114,theory(equality)]),axiom_062,196,139,theory(equality)]) ).
cnf(369,plain,
eq2(d(x(X,Y)),d(x2)) = bfalse,
inference('PARAMODULATE',[status(thm)],[119,axiom_044,theory(equality)]) ).
cnf(435,plain,
d(x(d(d(x2)),X)) = d(x(d(x2),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[axiom_044,110,theory(equality)]),axiom_044,theory(equality)]) ).
cnf(436,plain,
prop4(x(d(d(x2)),X)) = eq2(d(X),opt(d(X))),
inference('REWRITE',[status(thm)],[214,181,435,theory(equality)]) ).
cnf(840,plain,
opt(d(fail(d(x2),x2))) = d(x2),
inference('PARAMODULATE',[status(thm)],[181,335,theory(equality)]) ).
cnf(983,plain,
eq2(d(fail(d(x2),x2)),d(x2)) = bfalse,
inference('PARAMODULATE',[status(thm)],[369,335,theory(equality)]) ).
cnf(7170,plain,
eq3(eq2(d(X),opt(d(X))),bfalse) != btrue,
inference('PARAMODULATE',[status(thm)],[goal,436,theory(equality)]) ).
cnf(7173,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7170,840,theory(equality)]),axiom_088,983,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWX190-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.16/0.33 % Computer : n005.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
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 09:58:00 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/0.45 *
% 0.30/0.45 *
% 0.30/0.46 #<PACKAGE "SNARK-USER">
% 0.30/0.46 *
% 0.30/0.46 SNARK-TPTP-OPTIONS
% 0.30/0.46 *
% 0.30/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.30/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.30/0.46 (USE-FACTORING :POS)
% 0.30/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.30/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.30/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.30/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.30/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.30/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.30/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.30/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.30/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.30/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.30/0.46 *
% 0.30/0.46 "."
% 0.30/0.46 *
% 0.30/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T09:58:00
% 0.30/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2026-05-05T09:58:00
% 0.30/0.48
% 2.04/2.22 ; Recognized left identity assertion (= (|addNat| |z| ?X) ?X).
% 2.04/2.22
% 2.04/2.22 #||
% 2.04/2.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.04/2.22 % SZS output start Refutation
% See solution above
% 2.04/2.22 ||#
% 2.04/2.22
% 2.04/2.22 ; Summary of computation:
% 2.04/2.22 ; 13808 formulas have been input or derived (from 756 formulas).
% 2.04/2.22 ; 7173 (52%) were retained. Of these,
% 2.04/2.22 ; 1580 (22%) were simplified or subsumed later,
% 2.04/2.22 ; 5593 (78%) are still being kept.
% 2.04/2.22 ;
% 2.04/2.22 ; Run time in seconds excluding printing time:
% 2.04/2.22 ; 0.013 1% Read assertion file (1 call)
% 2.04/2.22 ; 0.002 0% Assert (90 calls)
% 2.04/2.22 ; 0.773 44% Process new row (13,130 calls)
% 2.04/2.22 ; 0.066 4% Resolution (1,510 calls)
% 2.04/2.22 ; 0.123 7% Paramodulation (755 calls)
% 2.04/2.22 ; 0.002 0% Condensing (117 calls)
% 2.04/2.22 ; 0.026 1% Forward subsumption (117 calls)
% 2.04/2.22 ; 0.000 0% Backward subsumption (79 calls)
% 2.04/2.22 ; 0.000 0% Clause clause subsumption (103 calls)
% 2.04/2.22 ; 0.406 23% Forward simplification (12,871 calls)
% 2.04/2.22 ; 0.183 10% Backward simplification (7,173 calls)
% 2.04/2.22 ; 0.090 5% Ordering (24,914 calls)
% 2.04/2.22 ; 0.000 0% Sortal reasoning (32 calls)
% 2.04/2.22 ; 0.000 0% Purity testing (1 call)
% 2.04/2.22 ; 0.079 4% Other
% 2.04/2.22 ; 1.763 Total
% 2.04/2.22 ; 1.765 Real time
% 2.04/2.22 ;
% 2.04/2.22 ; Term-hash-array has 18,247 terms in all.
% 2.04/2.22 ; Feature-vector-row-index has 44 entries (44 at peak, 79 added, 35 deleted).
% 2.04/2.22 ; Feature-vector-row-index has 487 nodes (487 at peak, 668 added, 181 deleted).
% 2.04/2.22 ; Retrieved 84 possibly forward subsuming rows in 117 calls.
% 2.04/2.22 ; Retrieved 23 possibly backward subsumed rows in 79 calls.
% 2.04/2.22 ; Path-index has 14,364 entries (14,364 at peak, 18,690 added, 4,326 deleted).
% 2.04/2.22 ; Path-index has 37,696 nodes (37,696 at peak, 41,235 added, 3,539 deleted).
% 2.04/2.22 ; Trie-index has 14,364 entries (14,364 at peak, 18,690 added, 4,326 deleted).
% 2.04/2.22 ; Trie-index has 83,815 nodes (84,177 at peak, 107,989 added, 24,174 deleted).
% 2.04/2.22 ; Retrieved 23,165 generalization terms in 109,709 calls.
% 2.04/2.22 ; Retrieved 8,138 instance terms in 7,363 calls.
% 2.04/2.22 ; Retrieved 17,219 unifiable terms in 6,907 calls.
% 2.04/2.22 ;
% 2.04/2.22 ; The agenda of rows to process has 6 entries:
% 2.04/2.22 ; 2 with value 22 4 with value 26
% 2.04/2.22 ; The agenda of rows to give has 4948 entries:
% 2.04/2.22 ; 384 with value (4 19) 26 with value (4 40) 16 with value (4 61)
% 2.04/2.22 ; 493 with value (4 20) 41 with value (4 41) 10 with value (4 62)
% 2.04/2.22 ; 704 with value (4 21) 69 with value (4 42) 13 with value (4 63)
% 2.04/2.22 ; 520 with value (4 22) 103 with value (4 43) 5 with value (4 64)
% 2.04/2.22 ; 389 with value (4 23) 183 with value (4 44) 3 with value (4 65)
% 2.04/2.22 ; 304 with value (4 24) 180 with value (4 45) 1 with value (4 66)
% 2.04/2.22 ; 142 with value (4 25) 26 with value (4 46) 3 with value (4 67)
% 2.04/2.23 ; 158 with value (4 26) 38 with value (4 47) 4 with value (4 68)
% 2.04/2.23 ; 148 with value (4 27) 22 with value (4 48) 1 with value (4 69)
% 2.04/2.23 ; 141 with value (4 28) 23 with value (4 49) 2 with value (4 70)
% 2.04/2.23 ; 84 with value (4 29) 13 with value (4 50) 1 with value (4 72)
% 2.04/2.23 ; 66 with value (4 30) 8 with value (4 51) 1 with value (4 73)
% 2.04/2.23 ; 56 with value (4 31) 11 with value (4 52) 3 with value (4 74)
% 2.04/2.23 ; 65 with value (4 32) 15 with value (4 53) 2 with value (4 75)
% 2.04/2.23 ; 81 with value (4 33) 15 with value (4 54) 1 with value (4 76)
% 2.04/2.23 ; 95 with value (4 34) 16 with value (4 55) 3 with value (4 78)
% 2.04/2.23 ; 91 with value (4 35) 18 with value (4 56) 1 with value (4 80)
% 2.04/2.23 ; 40 with value (4 36) 12 with value (4 57) 1 with value (4 82)
% 2.04/2.23 ; 26 with value (4 37) 4 with value (4 58) 1 with value (4 85)
% 2.04/2.23 ; 30 with value (4 38) 14 with value (4 59) 1 with value (4 86)
% 2.04/2.23 ; 13 with value (4 39) 8 with value (4 60)
% 2.04/2.23 Evaluation took:
% 2.04/2.23 1.766 seconds of real time
% 2.04/2.23 1.607496 seconds of user run time
% 2.04/2.23 0.159116 seconds of system run time
% 2.04/2.23 [Run times include 0.337 seconds GC run time.]
% 2.04/2.23 0 calls to %EVAL
% 2.04/2.23 0 page faults and
% 2.04/2.23 129,118,840 bytes consed.
% 2.04/2.23 :PROOF-FOUND
% 2.04/2.23 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T09:58:02
% 2.04/2.23 :PROOF-FOUND
% 2.04/2.23 *
%------------------------------------------------------------------------------