TSTP Solution File: SYN005-1.010 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN005-1.010 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 12:26:56 EDT 2023
% Result : Unsatisfiable 2.52s 1.64s
% Output : Refutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 22
% Syntax : Number of formulae : 34 ( 21 unt; 11 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 118 ( 20 ~; 18 |; 0 &; 80 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_1_type,type,
p_1: $i > $i > $o ).
thf(p_2_type,type,
p_2: $i > $i > $o ).
thf(p_3_type,type,
p_3: $i > $i > $o ).
thf(p_4_type,type,
p_4: $i > $i > $o ).
thf(p_5_type,type,
p_5: $i > $i > $o ).
thf(p_6_type,type,
p_6: $i > $i > $o ).
thf(p_7_type,type,
p_7: $i > $i > $o ).
thf(p_8_type,type,
p_8: $i > $i > $o ).
thf(p_9_type,type,
p_9: $i > $i > $o ).
thf(p_10_type,type,
p_10: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(1,negated_conjecture,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p_1 @ A @ B )
| ~ ( p_2 @ B @ C )
| ~ ( p_3 @ C @ D )
| ~ ( p_4 @ D @ E )
| ~ ( p_5 @ E @ F )
| ~ ( p_6 @ F @ G )
| ~ ( p_7 @ G @ H )
| ~ ( p_8 @ H @ I )
| ~ ( p_9 @ I @ J )
| ~ ( p_10 @ J @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjunction) ).
thf(14,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p_1 @ A @ B )
| ~ ( p_2 @ B @ C )
| ~ ( p_3 @ C @ D )
| ~ ( p_4 @ D @ E )
| ~ ( p_5 @ E @ F )
| ~ ( p_6 @ F @ G )
| ~ ( p_7 @ G @ H )
| ~ ( p_8 @ H @ I )
| ~ ( p_9 @ I @ J )
| ~ ( p_10 @ J @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,negated_conjecture,
p_10 @ a @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_10) ).
thf(20,plain,
p_10 @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,negated_conjecture,
p_7 @ a @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_7) ).
thf(21,plain,
p_7 @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,negated_conjecture,
p_9 @ a @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_9) ).
thf(13,plain,
p_9 @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,negated_conjecture,
p_1 @ a @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1) ).
thf(17,plain,
p_1 @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,negated_conjecture,
p_3 @ a @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_3) ).
thf(22,plain,
p_3 @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
p_4 @ a @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
thf(12,plain,
p_4 @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
p_6 @ a @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_6) ).
thf(18,plain,
p_6 @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,negated_conjecture,
p_8 @ a @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_8) ).
thf(16,plain,
p_8 @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
p_2 @ a @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_2) ).
thf(19,plain,
p_2 @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,negated_conjecture,
p_5 @ a @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_5) ).
thf(15,plain,
p_5 @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(24,plain,
$false,
inference(cvc4,[status(thm)],[14,20,21,13,17,22,12,18,16,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN005-1.010 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n014.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Thu May 18 19:45:59 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.96/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.34/1.05 % [INFO] Parsing done (125ms).
% 1.34/1.06 % [INFO] Running in sequential loop mode.
% 1.76/1.26 % [INFO] eprover registered as external prover.
% 1.76/1.26 % [INFO] cvc4 registered as external prover.
% 1.76/1.27 % [INFO] Scanning for conjecture ...
% 1.95/1.33 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.95/1.36 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.95/1.36 % [INFO] Problem is propositional (TPTP CNF).
% 1.95/1.36 % [INFO] Type checking passed.
% 1.95/1.36 % [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 ...
% 2.52/1.63 % External prover 'cvc4' found a proof!
% 2.52/1.63 % [INFO] Killing All external provers ...
% 2.52/1.64 % Time passed: 1086ms (effective reasoning time: 576ms)
% 2.52/1.64 % 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)>
% 2.52/1.64 % Axioms used in derivation (0):
% 2.52/1.64 % No. of inferences in proof: 23
% 2.52/1.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1086 ms resp. 576 ms w/o parsing
% 2.81/1.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.81/1.66 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------