TSTP Solution File: PUZ056-2.005 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 11:47:35 EDT 2023
% Result : Unsatisfiable 3.18s 1.72s
% Output : Refutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of formulae : 38 ( 23 unt; 5 typ; 0 def)
% Number of atoms : 83 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 344 ( 58 ~; 50 |; 0 &; 236 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 4 con; 0-5 aty)
% Number of variables : 60 ( 0 ^; 60 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $i > $i > $i > $i > $o ).
thf(s2_type,type,
s2: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(s1_type,type,
s1: $i ).
thf(s0_type,type,
s0: $i ).
thf(14,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E )
| ~ ( neq @ A @ E )
| ~ ( neq @ A @ F )
| ~ ( neq @ B @ E )
| ~ ( neq @ B @ F )
| ~ ( neq @ C @ E )
| ~ ( neq @ C @ F )
| ~ ( neq @ D @ E )
| ~ ( neq @ D @ F )
| ( p @ A @ B @ C @ D @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).
thf(38,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E )
| ~ ( neq @ A @ E )
| ~ ( neq @ A @ F )
| ~ ( neq @ B @ E )
| ~ ( neq @ B @ F )
| ~ ( neq @ C @ E )
| ~ ( neq @ C @ F )
| ~ ( neq @ D @ E )
| ~ ( neq @ D @ F )
| ( p @ A @ B @ C @ D @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,axiom,
p @ s0 @ s0 @ s0 @ s0 @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
thf(41,plain,
p @ s0 @ s0 @ s0 @ s0 @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(12,axiom,
~ ( neq @ s2 @ s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq9) ).
thf(35,plain,
~ ( neq @ s2 @ s2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
neq @ s0 @ s2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq3) ).
thf(31,plain,
neq @ s0 @ s2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,axiom,
neq @ s2 @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq7) ).
thf(40,plain,
neq @ s2 @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(2,axiom,
neq @ s1 @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq4) ).
thf(19,plain,
neq @ s1 @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
neq @ s0 @ s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq2) ).
thf(24,plain,
neq @ s0 @ s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,axiom,
neq @ s2 @ s1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq8) ).
thf(37,plain,
neq @ s2 @ s1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E )
| ~ ( neq @ A @ B )
| ~ ( neq @ A @ F )
| ( p @ A @ F @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
thf(25,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E )
| ~ ( neq @ A @ B )
| ~ ( neq @ A @ F )
| ( p @ A @ F @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
~ ( neq @ s0 @ s0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq1) ).
thf(20,plain,
~ ( neq @ s0 @ s0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E )
| ( p @ F @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
thf(29,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E )
| ( p @ F @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,negated_conjecture,
~ ( p @ s2 @ s2 @ s2 @ s2 @ s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(17,plain,
~ ( p @ s2 @ s2 @ s2 @ s2 @ s2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(10,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E )
| ~ ( neq @ A @ D )
| ~ ( neq @ A @ F )
| ~ ( neq @ B @ D )
| ~ ( neq @ B @ F )
| ~ ( neq @ C @ D )
| ~ ( neq @ C @ F )
| ( p @ A @ B @ C @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
thf(32,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E )
| ~ ( neq @ A @ D )
| ~ ( neq @ A @ F )
| ~ ( neq @ B @ D )
| ~ ( neq @ B @ F )
| ~ ( neq @ C @ D )
| ~ ( neq @ C @ F )
| ( p @ A @ B @ C @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
neq @ s1 @ s2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq6) ).
thf(34,plain,
neq @ s1 @ s2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
~ ( neq @ s1 @ s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq5) ).
thf(22,plain,
~ ( neq @ s1 @ s1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E )
| ~ ( neq @ A @ C )
| ~ ( neq @ A @ F )
| ~ ( neq @ B @ C )
| ~ ( neq @ B @ F )
| ( p @ A @ B @ F @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).
thf(27,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E )
| ~ ( neq @ A @ C )
| ~ ( neq @ A @ F )
| ~ ( neq @ B @ C )
| ~ ( neq @ B @ F )
| ( p @ A @ B @ F @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(42,plain,
$false,
inference(e,[status(thm)],[38,41,35,31,40,19,24,37,25,20,29,17,32,34,22,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n007.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 19:45:54 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.97/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.34/1.02 % [INFO] Parsing done (133ms).
% 1.34/1.03 % [INFO] Running in sequential loop mode.
% 1.74/1.23 % [INFO] eprover registered as external prover.
% 1.74/1.24 % [INFO] cvc4 registered as external prover.
% 1.80/1.24 % [INFO] Scanning for conjecture ...
% 1.80/1.29 % [INFO] Found a conjecture and 15 axioms. Running axiom selection ...
% 2.00/1.33 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 2.00/1.35 % [INFO] Problem is propositional (TPTP CNF).
% 2.00/1.35 % [INFO] Type checking passed.
% 2.00/1.35 % [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 ...
% 3.18/1.71 % External prover 'e' found a proof!
% 3.18/1.71 % [INFO] Killing All external provers ...
% 3.18/1.72 % Time passed: 1195ms (effective reasoning time: 685ms)
% 3.18/1.72 % 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)>
% 3.18/1.72 % Axioms used in derivation (15): rule4, rule5, neq6, neq7, rule1, neq3, neq2, neq8, rule2, neq4, neq1, rule3, neq5, neq9, init
% 3.18/1.72 % No. of inferences in proof: 33
% 3.18/1.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1195 ms resp. 685 ms w/o parsing
% 3.18/1.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.18/1.76 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------