TSTP Solution File: LCL428-1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL428-1 : TPTP v8.1.2. Bugfixed v5.5.0.
% 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 11:30:20 EDT 2023
% Result : Unsatisfiable 8.52s 3.27s
% Output : Refutation 8.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 25
% Syntax : Number of formulae : 32 ( 11 unt; 19 typ; 0 def)
% Number of atoms : 17 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 234 ( 6 ~; 4 |; 0 &; 224 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 18 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(x_type,type,
x: $i ).
thf(y_type,type,
y: $i ).
thf(z_type,type,
z: $i ).
thf(u_type,type,
u: $i ).
thf(v_type,type,
v: $i ).
thf(w_type,type,
w: $i ).
thf(v6_type,type,
v6: $i ).
thf(v7_type,type,
v7: $i ).
thf(v8_type,type,
v8: $i ).
thf(v9_type,type,
v9: $i ).
thf(v10_type,type,
v10: $i ).
thf(v11_type,type,
v11: $i ).
thf(v12_type,type,
v12: $i ).
thf(v13_type,type,
v13: $i ).
thf(v14_type,type,
v14: $i ).
thf(v15_type,type,
v15: $i ).
thf(v16_type,type,
v16: $i ).
thf(6,axiom,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ A @ B ) @ ( implies @ B @ A ) ) @ ( implies @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv5) ).
thf(14,plain,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ A @ B ) @ ( implies @ B @ A ) ) @ ( implies @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ~ ( is_a_theorem @ ( implies @ A @ B ) )
| ~ ( is_a_theorem @ A )
| ( is_a_theorem @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
thf(9,plain,
! [B: $i,A: $i] :
( ~ ( is_a_theorem @ ( implies @ A @ B ) )
| ~ ( is_a_theorem @ A )
| ( is_a_theorem @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ A @ B ) @ B ) @ ( implies @ ( implies @ B @ A ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv3) ).
thf(13,plain,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ A @ B ) @ B ) @ ( implies @ ( implies @ B @ A ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ B @ C ) @ ( implies @ A @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv2) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ B @ C ) @ ( implies @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ x @ ( implies @ y @ x ) ) @ ( implies @ ( implies @ ( implies @ ( implies @ ( implies @ ( implies @ ( implies @ ( implies @ ( implies @ z @ u ) @ ( implies @ ( implies @ v @ z ) @ ( implies @ v @ u ) ) ) @ ( implies @ ( implies @ w @ ( implies @ v6 @ w ) ) @ v7 ) ) @ v7 ) @ ( implies @ ( implies @ ( implies @ ( implies @ v8 @ v9 ) @ v9 ) @ ( implies @ ( implies @ v9 @ v8 ) @ v8 ) ) @ v10 ) ) @ v10 ) @ ( implies @ ( implies @ ( implies @ ( implies @ v11 @ v12 ) @ ( implies @ v12 @ v11 ) ) @ ( implies @ v12 @ v11 ) ) @ v13 ) ) @ v13 ) @ ( implies @ ( implies @ v14 @ ( implies @ v15 @ v14 ) ) @ v16 ) ) ) @ v16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_hr) ).
thf(7,plain,
~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ x @ ( implies @ y @ x ) ) @ ( implies @ ( implies @ ( implies @ ( implies @ ( implies @ ( implies @ ( implies @ ( implies @ ( implies @ z @ u ) @ ( implies @ ( implies @ v @ z ) @ ( implies @ v @ u ) ) ) @ ( implies @ ( implies @ w @ ( implies @ v6 @ w ) ) @ v7 ) ) @ v7 ) @ ( implies @ ( implies @ ( implies @ ( implies @ v8 @ v9 ) @ v9 ) @ ( implies @ ( implies @ v9 @ v8 ) @ v8 ) ) @ v10 ) ) @ v10 ) @ ( implies @ ( implies @ ( implies @ ( implies @ v11 @ v12 ) @ ( implies @ v12 @ v11 ) ) @ ( implies @ v12 @ v11 ) ) @ v13 ) ) @ v13 ) @ ( implies @ ( implies @ v14 @ ( implies @ v15 @ v14 ) ) @ v16 ) ) ) @ v16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv1) ).
thf(11,plain,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[14,9,13,12,7,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL428-1 : TPTP v8.1.2. Bugfixed v5.5.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 18 16:21:28 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.82/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.95 % [INFO] Parsing done (116ms).
% 1.23/0.95 % [INFO] Running in sequential loop mode.
% 1.47/1.14 % [INFO] eprover registered as external prover.
% 1.47/1.14 % [INFO] cvc4 registered as external prover.
% 1.47/1.14 % [INFO] Scanning for conjecture ...
% 1.72/1.21 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.83/1.23 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.83/1.24 % [INFO] Problem is propositional (TPTP CNF).
% 1.83/1.24 % [INFO] Type checking passed.
% 1.91/1.24 % [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 ...
% 8.52/3.26 % External prover 'e' found a proof!
% 8.52/3.26 % [INFO] Killing All external provers ...
% 8.52/3.27 % Time passed: 2759ms (effective reasoning time: 2310ms)
% 8.52/3.27 % 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)>
% 8.52/3.27 % Axioms used in derivation (5): mv5, condensed_detachment, mv3, mv1, mv2
% 8.52/3.27 % No. of inferences in proof: 13
% 8.52/3.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2759 ms resp. 2310 ms w/o parsing
% 8.52/3.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.52/3.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------