TSTP Solution File: COM007+2 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : COM007+2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 : Mon May 20 19:08:43 EDT 2024
% Result : Theorem 2.80s 1.60s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 22 ( 4 unt; 6 typ; 0 def)
% Number of atoms : 36 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 2 ~; 2 |; 8 &; 52 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 ^ 20 !; 2 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(goal_type,type,
goal: $o ).
thf(reflexive_rewrite_type,type,
reflexive_rewrite: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf(rewrite_type,type,
rewrite: $i > $i > $o ).
thf(3,axiom,
( ( reflexive_rewrite @ a @ b )
& ( reflexive_rewrite @ a @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption) ).
thf(10,plain,
( ( reflexive_rewrite @ a @ b )
& ( reflexive_rewrite @ a @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( rewrite @ A @ B )
& ( rewrite @ A @ C ) )
=> ? [D: $i] :
( ( rewrite @ B @ D )
& ( rewrite @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_diamond) ).
thf(25,plain,
! [A: $i,B: $i,C: $i] :
( ( ( rewrite @ A @ B )
& ( rewrite @ A @ C ) )
=> ? [D: $i] :
( ( rewrite @ B @ D )
& ( rewrite @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( rewrite @ A @ B )
=> ( reflexive_rewrite @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).
thf(20,plain,
! [A: $i,B: $i] :
( ( rewrite @ A @ B )
=> ( reflexive_rewrite @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
thf(2,negated_conjecture,
~ goal,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ goal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i] :
( ( ( reflexive_rewrite @ b @ A )
& ( reflexive_rewrite @ c @ A ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_ax) ).
thf(13,plain,
! [A: $i] :
( ( ( reflexive_rewrite @ b @ A )
& ( reflexive_rewrite @ c @ A ) )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( reflexive_rewrite @ A @ B )
=> ( ( A = B )
| ( rewrite @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_or_rewrite) ).
thf(22,plain,
! [A: $i,B: $i] :
( ( reflexive_rewrite @ A @ B )
=> ( ( A = B )
| ( rewrite @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( A = B )
=> ( reflexive_rewrite @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_in_reflexive_rewrite) ).
thf(16,plain,
! [A: $i,B: $i] :
( ( A = B )
=> ( reflexive_rewrite @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(28,plain,
$false,
inference(e,[status(thm)],[10,25,20,9,13,22,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM007+2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 10:18:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.94/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.13/0.96 % [INFO] Parsing done (98ms).
% 1.13/0.97 % [INFO] Running in sequential loop mode.
% 1.63/1.17 % [INFO] eprover registered as external prover.
% 1.63/1.17 % [INFO] cvc4 registered as external prover.
% 1.63/1.18 % [INFO] Scanning for conjecture ...
% 1.63/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 1.81/1.23 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.81/1.25 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.26 % [INFO] Type checking passed.
% 1.81/1.26 % [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 ...
% 2.80/1.60 % External prover 'e' found a proof!
% 2.80/1.60 % [INFO] Killing All external provers ...
% 2.80/1.60 % Time passed: 1069ms (effective reasoning time: 620ms)
% 2.80/1.60 % 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)>
% 2.80/1.60 % Axioms used in derivation (6): equal_in_reflexive_rewrite, rewrite_in_reflexive_rewrite, rewrite_diamond, equal_or_rewrite, assumption, goal_ax
% 2.80/1.60 % No. of inferences in proof: 16
% 2.80/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1069 ms resp. 620 ms w/o parsing
% 2.80/1.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.80/1.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------