TSTP Solution File: SYN010-1.005.005 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN010-1.005.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 : Fri May 19 12:26:57 EDT 2023
% Result : Unsatisfiable 2.83s 1.61s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 53
% Syntax : Number of formulae : 81 ( 13 unt; 26 typ; 0 def)
% Number of atoms : 265 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 422 ( 212 ~; 210 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 26 usr; 27 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_0_type,type,
p_0: $o ).
thf(p_1_1_type,type,
p_1_1: $o ).
thf(p_1_2_type,type,
p_1_2: $o ).
thf(p_1_3_type,type,
p_1_3: $o ).
thf(p_1_4_type,type,
p_1_4: $o ).
thf(p_1_5_type,type,
p_1_5: $o ).
thf(p_2_1_type,type,
p_2_1: $o ).
thf(p_2_2_type,type,
p_2_2: $o ).
thf(p_2_3_type,type,
p_2_3: $o ).
thf(p_2_4_type,type,
p_2_4: $o ).
thf(p_2_5_type,type,
p_2_5: $o ).
thf(p_3_1_type,type,
p_3_1: $o ).
thf(p_3_2_type,type,
p_3_2: $o ).
thf(p_3_3_type,type,
p_3_3: $o ).
thf(p_3_4_type,type,
p_3_4: $o ).
thf(p_3_5_type,type,
p_3_5: $o ).
thf(p_4_1_type,type,
p_4_1: $o ).
thf(p_4_2_type,type,
p_4_2: $o ).
thf(p_4_3_type,type,
p_4_3: $o ).
thf(p_4_4_type,type,
p_4_4: $o ).
thf(p_4_5_type,type,
p_4_5: $o ).
thf(p_5_1_type,type,
p_5_1: $o ).
thf(p_5_2_type,type,
p_5_2: $o ).
thf(p_5_3_type,type,
p_5_3: $o ).
thf(p_5_4_type,type,
p_5_4: $o ).
thf(p_5_5_type,type,
p_5_5: $o ).
thf(27,negated_conjecture,
p_5_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27) ).
thf(52,plain,
p_5_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(26,negated_conjecture,
p_5_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
thf(53,plain,
p_5_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(3,negated_conjecture,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(41,plain,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(11,negated_conjecture,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
thf(44,plain,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,negated_conjecture,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
thf(39,plain,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,negated_conjecture,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(35,plain,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,negated_conjecture,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
thf(48,plain,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(16,negated_conjecture,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
thf(43,plain,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(7,negated_conjecture,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(40,plain,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,negated_conjecture,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(47,plain,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,negated_conjecture,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
thf(42,plain,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(2,negated_conjecture,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(37,plain,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,negated_conjecture,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
thf(46,plain,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(10,negated_conjecture,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
thf(29,plain,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(6,negated_conjecture,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(33,plain,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,negated_conjecture,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(28,plain,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,negated_conjecture,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
thf(38,plain,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(8,negated_conjecture,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(45,plain,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,negated_conjecture,
~ p_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(32,plain,
~ p_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(21,negated_conjecture,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
thf(34,plain,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(23,negated_conjecture,
p_5_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
thf(54,plain,
p_5_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(24,negated_conjecture,
p_5_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
thf(49,plain,
p_5_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(25,negated_conjecture,
p_5_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
thf(50,plain,
p_5_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(20,negated_conjecture,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
thf(31,plain,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(13,negated_conjecture,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
thf(36,plain,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(14,negated_conjecture,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
thf(30,plain,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(22,negated_conjecture,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
thf(51,plain,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(77,plain,
$false,
inference(e,[status(thm)],[52,53,41,44,39,35,48,43,40,47,42,37,46,29,33,28,38,45,32,34,54,49,50,31,36,30,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN010-1.005.005 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n021.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu May 18 19:28:43 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.81/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/0.95 % [INFO] Parsing done (114ms).
% 1.28/0.96 % [INFO] Running in sequential loop mode.
% 1.52/1.14 % [INFO] eprover registered as external prover.
% 1.52/1.15 % [INFO] cvc4 registered as external prover.
% 1.52/1.15 % [INFO] Scanning for conjecture ...
% 1.84/1.23 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.93/1.26 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.93/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.93/1.26 % [INFO] Type checking passed.
% 1.93/1.26 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 2.83/1.60 % External prover 'e' found a proof!
% 2.83/1.60 % [INFO] Killing All external provers ...
% 2.83/1.60 % Time passed: 1089ms (effective reasoning time: 638ms)
% 2.83/1.60 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.83/1.60 % Axioms used in derivation (0):
% 2.83/1.60 % No. of inferences in proof: 55
% 2.83/1.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1089 ms resp. 638 ms w/o parsing
% 3.19/1.63 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.19/1.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------