TSTP Solution File: SYN101-1.002.002 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN101-1.002.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 12:27:18 EDT 2023
% Result : Unsatisfiable 2.77s 1.65s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 27
% Syntax : Number of formulae : 45 ( 11 unt; 10 typ; 0 def)
% Number of atoms : 75 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 206 ( 42 ~; 40 |; 0 &; 124 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_1_2_type,type,
p_1_2: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(p_2_2_type,type,
p_2_2: $i > $i > $o ).
thf(nq_1_type,type,
nq_1: $i > $o ).
thf(nq_2_type,type,
nq_2: $i > $o ).
thf(q_1_1_type,type,
q_1_1: $i > $i > $o ).
thf(b_type,type,
b: $i ).
thf(q_2_2_type,type,
q_2_2: $i > $i > $o ).
thf(p_1_1_type,type,
p_1_1: $i > $i > $o ).
thf(q_1_2_type,type,
q_1_2: $i > $i > $o ).
thf(14,axiom,
! [B: $i,A: $i] :
( ( p_1_2 @ A @ B )
| ~ ( p_2_2 @ A @ B )
| ~ ( p_1_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type11_1) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( p_1_2 @ A @ B )
| ~ ( p_2_2 @ A @ B )
| ~ ( p_1_1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( p_2_2 @ A @ B )
| ~ ( p_1_2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type22_1) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( p_2_2 @ A @ B )
| ~ ( p_1_2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
~ ( p_1_2 @ a @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_goal_1) ).
thf(18,plain,
~ ( p_1_2 @ a @ a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(15,axiom,
nq_2 @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_3) ).
thf(43,plain,
nq_2 @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(4,axiom,
nq_2 @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_4) ).
thf(24,plain,
nq_2 @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( q_2_2 @ A @ B )
| ~ ( nq_1 @ A )
| ~ ( nq_2 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t2_4) ).
thf(25,plain,
! [B: $i,A: $i] :
( ( q_2_2 @ A @ B )
| ~ ( nq_1 @ A )
| ~ ( nq_2 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( p_2_2 @ A @ B )
| ~ ( nq_1 @ A )
| ~ ( nq_2 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t2_3) ).
thf(20,plain,
! [B: $i,A: $i] :
( ( p_2_2 @ A @ B )
| ~ ( nq_1 @ A )
| ~ ( nq_2 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ( p_1_1 @ A @ B )
| ~ ( p_1_2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type21_1) ).
thf(46,plain,
! [B: $i,A: $i] :
( ( p_1_1 @ A @ B )
| ~ ( p_1_2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( p_1_1 @ A @ B )
| ~ ( nq_1 @ A )
| ~ ( nq_2 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t2_1) ).
thf(28,plain,
! [B: $i,A: $i] :
( ( p_1_1 @ A @ B )
| ~ ( nq_1 @ A )
| ~ ( nq_2 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,axiom,
nq_1 @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_1) ).
thf(38,plain,
nq_1 @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( q_1_2 @ A @ B )
| ~ ( p_2_2 @ A @ B )
| ~ ( q_1_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type12_1) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( q_1_2 @ A @ B )
| ~ ( p_2_2 @ A @ B )
| ~ ( q_1_1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( q_1_1 @ A @ B )
| ~ ( q_1_2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type21_2) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( q_1_1 @ A @ B )
| ~ ( q_1_2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( q_1_1 @ A @ B )
| ~ ( nq_1 @ A )
| ~ ( nq_2 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t2_2) ).
thf(22,plain,
! [B: $i,A: $i] :
( ( q_1_1 @ A @ B )
| ~ ( nq_1 @ A )
| ~ ( nq_2 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(16,axiom,
! [B: $i,A: $i] :
( ( p_1_2 @ A @ B )
| ~ ( q_2_2 @ A @ B )
| ~ ( q_1_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type11_2) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( p_1_2 @ A @ B )
| ~ ( q_2_2 @ A @ B )
| ~ ( q_1_1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6,axiom,
nq_1 @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_2) ).
thf(27,plain,
nq_1 @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( q_1_2 @ A @ B )
| ~ ( q_2_2 @ A @ B )
| ~ ( p_1_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type12_2) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( q_1_2 @ A @ B )
| ~ ( q_2_2 @ A @ B )
| ~ ( p_1_1 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( q_2_2 @ A @ B )
| ~ ( q_1_2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type22_2) ).
thf(30,plain,
! [B: $i,A: $i] :
( ( q_2_2 @ A @ B )
| ~ ( q_1_2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(48,plain,
$false,
inference(e,[status(thm)],[41,39,18,43,24,25,20,46,28,38,32,34,22,44,27,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN101-1.002.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 20:04:53 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.07/1.01 % [INFO] Parsing done (129ms).
% 1.33/1.02 % [INFO] Running in sequential loop mode.
% 1.62/1.22 % [INFO] eprover registered as external prover.
% 1.62/1.23 % [INFO] cvc4 registered as external prover.
% 1.62/1.23 % [INFO] Scanning for conjecture ...
% 1.62/1.28 % [INFO] Found a conjecture and 16 axioms. Running axiom selection ...
% 1.91/1.31 % [INFO] Axiom selection finished. Selected 16 axioms (removed 0 axioms).
% 2.02/1.33 % [INFO] Problem is propositional (TPTP CNF).
% 2.02/1.33 % [INFO] Type checking passed.
% 2.02/1.33 % [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 ...
% 2.77/1.64 % External prover 'e' found a proof!
% 2.77/1.64 % [INFO] Killing All external provers ...
% 2.77/1.64 % Time passed: 1118ms (effective reasoning time: 620ms)
% 2.77/1.64 % 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)>
% 2.77/1.65 % Axioms used in derivation (16): n_t2_4, n_s2_type11_2, n_2, n_s2_type12_2, n_s2_type22_1, n_t2_1, n_s2_type11_1, n_1, n_t2_2, n_s2_type22_2, n_s2_type21_1, n_t2_3, n_s2_type21_2, n_3, n_s2_type12_1, n_4
% 2.77/1.65 % No. of inferences in proof: 35
% 2.77/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1118 ms resp. 620 ms w/o parsing
% 2.77/1.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.77/1.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------