TSTP Solution File: MSC015-1.015 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MSC015-1.015 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 11:35:49 EDT 2023
% Result : Unsatisfiable 3.60s 1.87s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 20
% Syntax : Number of formulae : 38 ( 5 unt; 3 typ; 0 def)
% Number of atoms : 65 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 1022 ( 32 ~; 30 |; 0 &; 960 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 23 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 3 con; 0-15 aty)
% Number of variables : 210 ( 0 ^; 210 !; 0 ?; 210 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(s1_type,type,
s1: $i ).
thf(s0_type,type,
s0: $i ).
thf(17,axiom,
p @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).
thf(50,plain,
p @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(13,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule6) ).
thf(42,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(4,axiom,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ s0 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ s1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).
thf(24,plain,
! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ s0 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ s1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ s0 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ s1 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4) ).
thf(20,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ s0 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ s1 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,axiom,
! [A: $i] :
( ~ ( p @ A @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule14) ).
thf(46,plain,
! [A: $i] :
( ~ ( p @ A @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,axiom,
( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule15) ).
thf(28,plain,
( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9) ).
thf(38,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,axiom,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ s0 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ s1 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).
thf(32,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ s0 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ s1 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule10) ).
thf(34,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule11) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule7) ).
thf(44,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ s0 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ s1 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).
thf(48,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ s0 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ s1 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(1,negated_conjecture,
~ ( p @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(18,plain,
~ ( p @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ~ ( p @ A @ B @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule13) ).
thf(40,plain,
! [B: $i,A: $i] :
( ~ ( p @ A @ B @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ s1 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).
thf(26,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ s1 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule12) ).
thf(36,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8) ).
thf(30,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C @ D @ E @ F @ G @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ A @ B @ C @ D @ E @ F @ G @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(57,plain,
$false,
inference(e,[status(thm)],[50,42,24,20,46,28,38,32,34,22,44,48,18,40,26,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MSC015-1.015 : TPTP v8.1.2. Released v3.5.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 15:32:51 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.03 % [INFO] Parsing done (143ms).
% 1.29/1.03 % [INFO] Running in sequential loop mode.
% 1.77/1.24 % [INFO] eprover registered as external prover.
% 1.77/1.24 % [INFO] cvc4 registered as external prover.
% 1.77/1.24 % [INFO] Scanning for conjecture ...
% 1.77/1.30 % [INFO] Found a conjecture and 16 axioms. Running axiom selection ...
% 2.02/1.33 % [INFO] Axiom selection finished. Selected 16 axioms (removed 0 axioms).
% 2.02/1.36 % [INFO] Problem is propositional (TPTP CNF).
% 2.02/1.37 % [INFO] Type checking passed.
% 2.02/1.37 % [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 ...
% 3.60/1.86 % External prover 'e' found a proof!
% 3.60/1.86 % [INFO] Killing All external provers ...
% 3.60/1.86 % Time passed: 1354ms (effective reasoning time: 827ms)
% 3.60/1.86 % 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)>
% 3.60/1.87 % Axioms used in derivation (16): rule11, rule4, rule15, rule5, rule8, rule1, rule14, rule2, rule10, rule3, init, rule6, rule7, rule13, rule9, rule12
% 3.60/1.87 % No. of inferences in proof: 35
% 3.60/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1354 ms resp. 827 ms w/o parsing
% 3.96/1.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.96/1.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------