TSTP Solution File: COL098-1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : COL098-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 : Tue May 7 07:29:34 EDT 2024
% Result : Unsatisfiable 3.29s 1.70s
% Output : Refutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 22
% Syntax : Number of formulae : 34 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 45 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 236 ( 24 ~; 22 |; 0 &; 190 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 34 ( 0 ^ 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(pair_type,type,
pair: $i > $i > $i ).
thf(x_type,type,
x: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(r_type,type,
r: $i ).
thf(trancl_type,type,
trancl: $i > $i ).
thf(z_type,type,
z: $i ).
thf(sk1_type,type,
sk1: $i > $i > $i > $i ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(y_type,type,
y: $i ).
thf(trans_type,type,
trans: $i > $o ).
thf(2,negated_conjecture,
! [A: $i] :
( ~ ( member @ ( pair @ sk3 @ A ) @ ( trancl @ r ) )
| ~ ( member @ ( pair @ z @ A ) @ r ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c2) ).
thf(13,plain,
! [A: $i] :
( ~ ( member @ ( pair @ sk3 @ A ) @ ( trancl @ r ) )
| ~ ( member @ ( pair @ z @ A ) @ r ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ ( pair @ A @ B ) @ r )
| ~ ( member @ ( pair @ A @ C ) @ r )
| ( member @ ( pair @ C @ ( sk1 @ A @ B @ C ) ) @ r ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h2) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ ( pair @ A @ B ) @ r )
| ~ ( member @ ( pair @ A @ C ) @ r )
| ( member @ ( pair @ C @ ( sk1 @ A @ B @ C ) ) @ r ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,axiom,
member @ ( pair @ x @ y ) @ ( trancl @ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h3) ).
thf(27,plain,
member @ ( pair @ x @ y ) @ ( trancl @ r ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
member @ ( pair @ x @ sk3 ) @ r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c1) ).
thf(12,plain,
member @ ( pair @ x @ sk3 ) @ r,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
! [A: $i] : ( trans @ ( trancl @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).
thf(23,plain,
! [A: $i] : ( trans @ ( trancl @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( member @ ( pair @ x @ A ) @ r )
| ( member @ ( pair @ A @ ( sk2 @ A ) ) @ ( trancl @ r ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h5) ).
thf(19,plain,
! [A: $i] :
( ~ ( member @ ( pair @ x @ A ) @ r )
| ( member @ ( pair @ A @ ( sk2 @ A ) ) @ ( trancl @ r ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ ( pair @ A @ B ) @ r )
| ~ ( member @ ( pair @ A @ C ) @ r )
| ( member @ ( pair @ B @ ( sk1 @ A @ B @ C ) ) @ r ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h1) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ ( pair @ A @ B ) @ r )
| ~ ( member @ ( pair @ A @ C ) @ r )
| ( member @ ( pair @ B @ ( sk1 @ A @ B @ C ) ) @ r ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
member @ ( pair @ y @ z ) @ r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h4) ).
thf(24,plain,
member @ ( pair @ y @ z ) @ r,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( trans @ A )
| ~ ( member @ ( pair @ B @ C ) @ A )
| ~ ( member @ ( pair @ C @ D ) @ A )
| ( member @ ( pair @ B @ D ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).
thf(25,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( trans @ A )
| ~ ( member @ ( pair @ B @ C ) @ A )
| ~ ( member @ ( pair @ C @ D ) @ A )
| ( member @ ( pair @ B @ D ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ ( pair @ A @ B ) @ C )
| ( member @ ( pair @ A @ B ) @ ( trancl @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ ( pair @ A @ B ) @ C )
| ( member @ ( pair @ A @ B ) @ ( trancl @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( member @ ( pair @ x @ A ) @ r )
| ( member @ ( pair @ y @ ( sk2 @ A ) ) @ r ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h6) ).
thf(21,plain,
! [A: $i] :
( ~ ( member @ ( pair @ x @ A ) @ r )
| ( member @ ( pair @ y @ ( sk2 @ A ) ) @ r ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(48,plain,
$false,
inference(e,[status(thm)],[13,17,27,12,23,19,15,24,25,28,21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL098-1 : TPTP v8.1.2. Released v2.7.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n002.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 : Mon May 6 14:03:24 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.95/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.96 % [INFO] Parsing done (119ms).
% 1.30/0.97 % [INFO] Running in sequential loop mode.
% 1.66/1.17 % [INFO] eprover registered as external prover.
% 1.66/1.17 % [INFO] cvc4 registered as external prover.
% 1.66/1.18 % [INFO] Scanning for conjecture ...
% 1.89/1.24 % [INFO] Found a conjecture and 15 axioms. Running axiom selection ...
% 1.91/1.28 % [INFO] Axiom selection finished. Selected 9 axioms (removed 6 axioms).
% 1.91/1.29 % [INFO] Problem is propositional (TPTP CNF).
% 1.91/1.29 % [INFO] Type checking passed.
% 1.91/1.29 % [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 ...
% 3.29/1.70 % External prover 'e' found a proof!
% 3.29/1.70 % [INFO] Killing All external provers ...
% 3.29/1.70 % Time passed: 1187ms (effective reasoning time: 729ms)
% 3.29/1.70 % 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)>
% 3.29/1.70 % Axioms used in derivation (9): diamond_strip_lemmaD_2h4, r_into_trancl, trans_trancl, diamond_strip_lemmaD_2h1, diamond_strip_lemmaD_2h5, diamond_strip_lemmaD_2h2, diamond_strip_lemmaD_2h3, diamond_strip_lemmaD_2h6, transD
% 3.29/1.70 % No. of inferences in proof: 23
% 3.29/1.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1187 ms resp. 729 ms w/o parsing
% 3.29/1.73 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.29/1.74 % [INFO] Killing All external provers ...
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